# bibtab

bibtype: article
filename: borwein-jonathan-m.bib
label: Lupas:2002:SBF
author: Alexandru Lupas
title: Some BBP-functions
journal: Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat.
volume: 13
pages: 26--29 (2003)
year: 2002
DOI: https://doi.org/10.2298/PETF0213026L
ISSN: 0353-8893 (print), 2406-0852 (electronic) OR 03538893 (print), 24060852 (electronic)
ISSNL: 0353-8893 OR 03538893
MRclass: 30D10
MRnumber: 1992836
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: Univerzitet u Beogradu. Publikacije Elektrotehni ckog Fakulteta. Serija Matematika
acknowledgement: ack-nhfb
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Alexandru Lupa{\c{s}}
rawtitle: Some {BBP}-functions
entry:
@Article{Lupas:2002:SBF,
  author =       "Alexandru Lupa{\c{s}}",
  title =        "Some {BBP}-functions",
  journal =      "Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat.",
  volume =       "13",
  pages =        "26--29 (2003)",
  year =         "2002",
  DOI =          "https://doi.org/10.2298/PETF0213026L",
  ISSN =         "0353-8893 (print), 2406-0852 (electronic)",
  ISSN-L =       "0353-8893",
  MRclass =      "30D10",
  MRnumber =     "1992836",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Univerzitet u Beogradu. Publikacije Elektrotehni\v
                 ckog Fakulteta. Serija Matematika",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Raydan:2002:RSD
author: Marcos Raydan and Benar F. Svaiter
title: Relaxed steepest descent and Cauchy--Barzilai--Borwein method
journal: j-COMP-OPTIM-APPL
volume: 21
number: 2
pages: 155--167
year: 2002
CODEN: CPPPEF
DOI: https://doi.org/10.1023/A:1013708715892
ISSN: 0926-6003 (print), 1573-2894 (electronic) OR 09266003 (print), 15732894 (electronic)
ISSNL: 0926-6003 OR 09266003
MRclass: 90C52 (90C20)
MRnumber: 1883751
MRreviewer: Christian Zillober
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: Computational Optimization and Applications. An International Journal
acknowledgement: ack-nhfb
journalURL: http://link.springer.com/journal/10589
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Marcos Raydan and Benar F. Svaiter
rawtitle: Relaxed steepest descent and {Cauchy--Barzilai--Borwein} method
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Raydan:2002:RSD,
  author =       "Marcos Raydan and Benar F. Svaiter",
  title =        "Relaxed steepest descent and
                 {Cauchy--Barzilai--Borwein} method",
  journal =      j-COMP-OPTIM-APPL,
  volume =       "21",
  number =       "2",
  pages =        "155--167",
  year =         "2002",
  CODEN =        "CPPPEF",
  DOI =          "https://doi.org/10.1023/A:1013708715892",
  ISSN =         "0926-6003 (print), 1573-2894 (electronic)",
  ISSN-L =       "0926-6003",
  MRclass =      "90C52 (90C20)",
  MRnumber =     "1883751",
  MRreviewer =   "Christian Zillober",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Computational Optimization and Applications. An
                 International Journal",
  journal-URL =  "http://link.springer.com/journal/10589",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Reisner:2002:NTB
author: Shlomo Reisner
title: A note on a theorem of Borwein, Borwein, Fee and Girgensohn
journal: j-MATH-INEQUAL-APPL
volume: 5
number: 4
pages: 753--754
year: 2002
DOI: https://doi.org/10.7153/mia-05-76
ISSN: 1331-4343 (print), 1848-9966 (electronic) OR 13314343 (print), 18489966 (electronic)
MRclass: 52A38 (26D15 33B15 52A22)
MRnumber: 1931236
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: Mathematical Inequalities & Applications
acknowledgement: ack-nhfb
ajournal: Math. Inequal. Appl.
journalURL: http://mia.ele-math.com/
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Shlomo Reisner
rawtitle: A note on a theorem of {Borwein}, {Borwein}, {Fee} and {Girgensohn}
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Reisner:2002:NTB,
  author =       "Shlomo Reisner",
  title =        "A note on a theorem of {Borwein}, {Borwein}, {Fee} and
                 {Girgensohn}",
  journal =      j-MATH-INEQUAL-APPL,
  volume =       "5",
  number =       "4",
  pages =        "753--754",
  year =         "2002",
  DOI =          "https://doi.org/10.7153/mia-05-76",
  ISSN =         "1331-4343 (print), 1848-9966 (electronic)",
  MRclass =      "52A38 (26D15 33B15 52A22)",
  MRnumber =     "1931236",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Math. Inequal. Appl.",
  fjournal =     "Mathematical Inequalities \& Applications",
  journal-URL =  "http://mia.ele-math.com/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Thangadurai:2002:NCB
author: R. Thangadurai
title: A note on a conjecture of Borwein and Choi
journal: Arch. Math. (Basel)
volume: 78
number: 5
pages: 386--396
year: 2002
CODEN: ACVMAL
DOI: https://doi.org/10.1007/s00013-002-8263-8
ISSN: 0003-889x (print), 1420-8938 (electronic) OR 0003889x (print), 14208938 (electronic)
MRclass: 11T22 (11R18)
MRnumber: 1903674
MRreviewer: Lawrence Washington
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: Archiv der Mathematik
acknowledgement: ack-nhfb
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: R. Thangadurai
rawtitle: A note on a conjecture of {Borwein} and {Choi}
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Thangadurai:2002:NCB,
  author =       "R. Thangadurai",
  title =        "A note on a conjecture of {Borwein} and {Choi}",
  journal =      "Arch. Math. (Basel)",
  volume =       "78",
  number =       "5",
  pages =        "386--396",
  year =         "2002",
  CODEN =        "ACVMAL",
  DOI =          "https://doi.org/10.1007/s00013-002-8263-8",
  ISSN =         "0003-889x (print), 1420-8938 (electronic)",
  MRclass =      "11T22 (11R18)",
  MRnumber =     "1903674",
  MRreviewer =   "Lawrence Washington",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Archiv der Mathematik",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Chamberland:2003:BBF
author: Marc Chamberland
title: Binary BBP-formulae for logarithms and generalized Gaussian--Mersenne primes
journal: j-J-INTEGER-SEQ
volume: 6
number: 3
pages: Article 03.3.7, 10
year: 2003
ISSN: 1530-7638 OR 15307638
MRclass: 11Y60 (11A63)
MRnumber: 2046407
MRreviewer: Samuel S. Wagstaff, Jr.
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: Journal of Integer Sequences
acknowledgement: ack-nhfb
journalURL: https://cs.uwaterloo.ca/journals/JIS/
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Marc Chamberland
rawtitle: Binary {BBP}-formulae for logarithms and generalized {Gaussian--Mersenne} primes
entry:
@Article{Chamberland:2003:BBF,
  author =       "Marc Chamberland",
  title =        "Binary {BBP}-formulae for logarithms and generalized
                 {Gaussian--Mersenne} primes",
  journal =      j-J-INTEGER-SEQ,
  volume =       "6",
  number =       "3",
  pages =        "Article 03.3.7, 10",
  year =         "2003",
  ISSN =         "1530-7638",
  MRclass =      "11Y60 (11A63)",
  MRnumber =     "2046407",
  MRreviewer =   "Samuel S. Wagstaff, Jr.",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Integer Sequences",
  journal-URL =  "https://cs.uwaterloo.ca/journals/JIS/",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Jimenez:2003:NLP
author: B. Jimenez and V. Novo
title: A notion of local proper efficiency in the Borwein sense in vector optimisation
journal: j-ANZIAM-J
volume: 45
number: 1
pages: 75--89
month: jul
monthnumber: 7
year: 2003
CODEN: AJNOA2
DOI: https://doi.org/10.1017/S144618110001316X
ISSN: 1446-1811 (print), 1446-8735 (electronic) OR 14461811 (print), 14468735 (electronic)
ISSNL: 1446-1811 OR 14461811
MRclass: 90C29 (90C46)
MRnumber: 1995211
MRreviewer: Alberto Cambini
bibdate: Thu Aug 11 11:22:39 2016
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: The ANZIAM Journal. The Australian & New Zealand Industrial and Applied Mathematics Journal
acknowledgement: ack-nhfb
ajournal: ANZIAM J.
journalURL: http://journals.cambridge.org/action/displayJournal?jid=ANZ
onlinedate: 17 February 2009
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: B. Jim{\'e}nez and V. Novo
rawtitle: A notion of local proper efficiency in the {Borwein} sense in vector optimisation
ORCID: Borwein, Jonathan/0000-0002-1263-0646
URL:
https://www.cambridge.org/core/journals/anziam-journal/article/notion-of-local-proper-efficiency-in-the-borwein-sense-in-vector-optimisation/54FFD574CEC237456161E9A9A39D8D3B

entry:
@Article{Jimenez:2003:NLP,
  author =       "B. Jim{\'e}nez and V. Novo",
  title =        "A notion of local proper efficiency in the {Borwein}
                 sense in vector optimisation",
  journal =      j-ANZIAM-J,
  volume =       "45",
  number =       "1",
  pages =        "75--89",
  month =        jul,
  year =         "2003",
  CODEN =        "AJNOA2",
  DOI =          "https://doi.org/10.1017/S144618110001316X",
  ISSN =         "1446-1811 (print), 1446-8735 (electronic)",
  ISSN-L =       "1446-1811",
  MRclass =      "90C29 (90C46)",
  MRnumber =     "1995211",
  MRreviewer =   "Alberto Cambini",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/anziamj.bib",
  URL =          "https://www.cambridge.org/core/journals/anziam-journal/article/notion-of-local-proper-efficiency-in-the-borwein-sense-in-vector-optimisation/54FFD574CEC237456161E9A9A39D8D3B",
  acknowledgement = ack-nhfb,
  ajournal =     "ANZIAM J.",
  fjournal =     "The ANZIAM Journal. The Australian \& New Zealand
                 Industrial and Applied Mathematics Journal",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=ANZ",
  onlinedate =   "17 February 2009",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Todd:2003:CAN
author: Michael J. Todd
journal: International Journal of Robust and Nonlinear Control
volume: 13
number: 1
pages: 92--93
year: 2003
DOI: https://doi.org/10.1002/rnc.701
ISSN: 1049-8923 (print), 1099-1239 (electronic) OR 10498923 (print), 10991239 (electronic)
ISSNL: 1049-8923 OR 10498923
bibdate: Thu Aug 11 11:12:54 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:12:54 ???
acknowledgement: ack-nhfb
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Michael J. Todd
ORCID: Borwein, Jonathan/0000-0002-1263-0646
title:
booktitle Convex Analysis and Nonlinear Optimization: Theory and Examples. Jonathan M. Borwein and Adrian S. Lewis, Springer, New York, 2000 [book review]

rawtitle:
{{\booktitle{Convex Analysis and Nonlinear Optimization: Theory and Examples}}. Jonathan M. Borwein and Adrian S. Lewis, Springer, New York, 2000} [book review]

entry:
@Article{Todd:2003:CAN,
  author =       "Michael J. Todd",
  title =        "{{\booktitle{Convex Analysis and Nonlinear
                 Optimization: Theory and Examples}}. Jonathan M.
                 Borwein and Adrian S. Lewis, Springer, New York, 2000}
                 [book review]",
  journal =      "International Journal of Robust and Nonlinear
                 Control",
  volume =       "13",
  number =       "1",
  pages =        "92--93",
  year =         "2003",
  DOI =          "https://doi.org/10.1002/rnc.701",
  ISSN =         "1049-8923 (print), 1099-1239 (electronic)",
  ISSN-L =       "1049-8923",
  bibdate =      "Thu Aug 11 11:12:54 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Warnaar:2003:GBC
author: S. Ole Warnaar
title: The generalized Borwein conjecture. II. Refined $q$-trinomial coefficients
journal: j-DISCRETE-MATH
volume: 272
number: 2--3
pages: 215--258
year: 2003
CODEN: DSMHA4
DOI: https://doi.org/10.1016/S0012-365X(03)00047-5
ISSN: 0012-365x (print), 1872-681x (electronic) OR 0012365x (print), 1872681x (electronic)
ISSNL: 0012-365X OR 0012365X
MRclass: 05A15 (05A19 05A30 33D15)
MRnumber: 2009544
MRreviewer: Anne Schilling
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
URL: http://www.sciencedirect.com/science/article/pii/S0012365X03000475
fjournal: Discrete Mathematics
acknowledgement: ack-nhfb
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: S. Ole Warnaar
rawtitle: The generalized {Borwein} conjecture. {II}. {Refined} $q$-trinomial coefficients
ORCID: Borwein, Jonathan/0000-0002-1263-0646
abstract:
Transformation formulas for four-parameter refinements of the $q$-trinomial coefficients are proven. The iterative nature of these transformations allows for the easy derivation of several infinite series of $q$-trinomial identities, and can be applied to prove many instances of Bressoud's generalized Borwein conjecture.

keywords:
$q$-Trinomial coefficients; Basic hypergeometric series; Gaussian polynomials; Rogers Ramanujan identities

rawabstract:
Transformation formulas for four-parameter refinements of the $q$-trinomial coefficients are proven. The iterative nature of these transformations allows for the easy derivation of several infinite series of $q$-trinomial identities, and can be applied to prove many instances of Bressoud's generalized Borwein conjecture.

entry:
@Article{Warnaar:2003:GBC,
  author =       "S. Ole Warnaar",
  title =        "The generalized {Borwein} conjecture. {II}. {Refined}
                 $q$-trinomial coefficients",
  journal =      j-DISCRETE-MATH,
  volume =       "272",
  number =       "2--3",
  pages =        "215--258",
  year =         "2003",
  CODEN =        "DSMHA4",
  DOI =          "https://doi.org/10.1016/S0012-365X(03)00047-5",
  ISSN =         "0012-365x (print), 1872-681x (electronic)",
  ISSN-L =       "0012-365X",
  MRclass =      "05A15 (05A19 05A30 33D15)",
  MRnumber =     "2009544",
  MRreviewer =   "Anne Schilling",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0012365X03000475",
  abstract =     "Transformation formulas for four-parameter refinements
                 of the $q$-trinomial coefficients are proven. The
                 iterative nature of these transformations allows for
                 the easy derivation of several infinite series of
                 $q$-trinomial identities, and can be applied to prove
                 many instances of Bressoud's generalized Borwein
                 conjecture.",
  acknowledgement = ack-nhfb,
  fjournal =     "Discrete Mathematics",
  keywords =     "$q$-Trinomial coefficients; Basic hypergeometric
                 series; Gaussian polynomials; Rogers Ramanujan
                 identities",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: techreport
filename: borwein-jonathan-m.bib
label: Crandall:2004:BIJ
author: Richard E. Crandall
title: On a Bessel-integral of J. Borwein
type: Report
institution: Reed College
address: Portland, OR, USA
pages: 2
month: aug
monthnumber: 8
year: 2004
bibdate: Tue Mar 19 09:06:09 2013
bibtimestamp: 2013.03.19 09:06:09 ???
URL: http://people.reed.edu/~crandall/papers/borweinJ.pdf
acknowledgement: ack-nhfb
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Richard E. Crandall
rawtitle: On a {Bessel}-integral of {J. Borwein}
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@TechReport{Crandall:2004:BIJ,
  author =       "Richard E. Crandall",
  title =        "On a {Bessel}-integral of {J. Borwein}",
  type =         "Report",
  institution =  "Reed College",
  address =      "Portland, OR, USA",
  pages =        "2",
  month =        aug,
  year =         "2004",
  bibdate =      "Tue Mar 19 09:06:09 2013",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib",
  URL =          "http://people.reed.edu/~crandall/papers/borweinJ.pdf",
  acknowledgement = ack-nhfb,
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Komatsu:2004:IDA
author: Takao Komatsu
title: On inhomogeneous Diophantine approximation and the Borweins' algorithm
journal: Far East J. Math. Sci. (FJMS)
volume: 12
number: 2
pages: 203--224
year: 2004
ISSN: 0972-0871 OR 09720871
ISSNL: 0972-0871 OR 09720871
MRclass: 11J20 (11J70)
MRnumber: 2054083
MRreviewer: Andrew M. Rockett
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
URL: http://www.pphmj.com/abstract/137.htm
fjournal: Far East Journal of Mathematical Sciences (FJMS)
acknowledgement: ack-nhfb
journalURL: http://www.pphmj.com/journals/fjms.htm
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Takao Komatsu
rawtitle: On inhomogeneous {Diophantine} approximation and the {Borweins}' algorithm
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Komatsu:2004:IDA,
  author =       "Takao Komatsu",
  title =        "On inhomogeneous {Diophantine} approximation and the
                 {Borweins}' algorithm",
  journal =      "Far East J. Math. Sci. (FJMS)",
  volume =       "12",
  number =       "2",
  pages =        "203--224",
  year =         "2004",
  ISSN =         "0972-0871",
  ISSN-L =       "0972-0871",
  MRclass =      "11J20 (11J70)",
  MRnumber =     "2054083",
  MRreviewer =   "Andrew M. Rockett",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://www.pphmj.com/abstract/137.htm",
  acknowledgement = ack-nhfb,
  fjournal =     "Far East Journal of Mathematical Sciences (FJMS)",
  journal-URL =  "http://www.pphmj.com/journals/fjms.htm",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: inproceedings
filename: borwein-jonathan-m.bib
label: Dai:2005:ABB
author: Yu-Hong Dai and Li-Zhi Liao and Duan Li
title: An analysis of the Barzilai and Borwein gradient method for unsymmetric linear equations
crossref: Qi:2005:OCA
pages: 183--211
year: 2005
DOI: https://doi.org/10.1007/0-387-24255-4_8
MRclass: 90C20 (65F10 90C52)
MRnumber: 2144376
MRreviewer: Maria C. Adam
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
series: Appl. Optim.
acknowledgement: ack-nhfb
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Yu-Hong Dai and Li-Zhi Liao and Duan Li
rawtitle: An analysis of the {Barzilai} and {Borwein} gradient method for unsymmetric linear equations
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@InProceedings{Dai:2005:ABB,
  author =       "Yu-Hong Dai and Li-Zhi Liao and Duan Li",
  title =        "An analysis of the {Barzilai} and {Borwein} gradient
                 method for unsymmetric linear equations",
  crossref =     "Qi:2005:OCA",
  pages =        "183--211",
  year =         "2005",
  DOI =          "https://doi.org/10.1007/0-387-24255-4_8",
  MRclass =      "90C20 (65F10 90C52)",
  MRnumber =     "2144376",
  MRreviewer =   "Maria C. Adam",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  series =       "Appl. Optim.",
  acknowledgement = ack-nhfb,
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Dai:2005:PBB
author: Yu-Hong Dai and Roger Fletcher
title: Projected Barzilai--Borwein methods for large-scale box-constrained quadratic programming
journal: j-NUM-MATH
volume: 100
number: 1
pages: 21--47
year: 2005
CODEN: NUMMA7
DOI: https://doi.org/10.1007/s00211-004-0569-y
ISSN: 0029-599x (print), 0945-3245 (electronic) OR 0029599x (print), 09453245 (electronic)
ISSNL: 0029-599X OR 0029599X
MRclass: 90C20 (65K05 90C52)
MRnumber: 2129700
MRreviewer: Paul H. Calamai
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: Numerische Mathematik
acknowledgement: ack-nhfb
journalURL: http://link.springer.com/journal/211
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Yu-Hong Dai and Roger Fletcher
rawtitle: Projected {Barzilai--Borwein} methods for large-scale box-constrained quadratic programming
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entry:
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  author =       "Yu-Hong Dai and Roger Fletcher",
  title =        "Projected {Barzilai--Borwein} methods for large-scale
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bibtype: inproceedings
filename: borwein-jonathan-m.bib
label: Fletcher:2005:BBM
author: Roger Fletcher
title: On the Barzilai--Borwein method
crossref: Qi:2005:OCA
pages: 235--256
year: 2005
DOI: https://doi.org/10.1007/0-387-24255-4_10
MRclass: 90C30 (90C06)
MRnumber: 2144378
MRreviewer: V. F. Dem{\cprime}yanov
bibdate: Thu Aug 11 11:22:39 2016
bibtimestamp: 2016.08.11 11:22:39 ???
acknowledgement: ack-nhfb
authordates: Roger Fletcher (29 January 1939--15 July 2016)
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Roger Fletcher
rawtitle: On the {Barzilai--Borwein} method
ORCID: Borwein, Jonathan/0000-0002-1263-0646
bibsource:
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib

entry:
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  title =        "On the {Barzilai--Borwein} method",
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bibtype: article
filename: borwein-jonathan-m.bib
label: Georgiev:2005:PBP
author: Pando Gr. Georgiev
title: Parametric Borwein--Preiss Variational Principle and Applications
journal: j-PROC-AM-MATH-SOC
volume: 133
number: 11
pages: 3211--3225
month: nov
monthnumber: 11
year: 2005
CODEN: PAMYAR
DOI: https://doi.org/10.1090/S0002-9939-05-07853-6
ISSN: 0002-9939 (print), 1088-6826 (electronic) OR 00029939 (print), 10886826 (electronic)
ISSNL: 0002-9939 OR 00029939
MRclass: 49J53 (46N10 49J35 49J52 90C31 90C48 91A10)
MRnumber: 2161143
MRreviewer: G{\'e}rard Lebourg
bibdate: Sat Aug 13 18:09:13 MDT 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.13 18:09:13 MDT
URL: https://www.jstor.org/stable/4097574
fjournal: Proceedings of the American Mathematical Society
acknowledgement: ack-nhfb
journalURL: http://www.ams.org/journals/proc
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Pando Gr. Georgiev
rawtitle: Parametric {Borwein--Preiss} Variational Principle and Applications
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bibtype: article
filename: borwein-jonathan-m.bib
label: Hersh:2005:BRM
author: Reuben Hersh and Roger Frye
title: Book Review: booktitle Mathematics by Experiment: Plausible Reasoning in the 21st Century
journal: j-SIAM-REVIEW
volume: 47
number: 4
pages: 832--833
month: dec
monthnumber: 12
year: 2005
CODEN: SIREAD
ISSN: 0036-1445 (print), 1095-7200 (electronic) OR 00361445 (print), 10957200 (electronic)
ISSNL: 0036-1445 OR 00361445
bibdate: Sat Aug 13 18:09:13 MDT 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.13 18:09:13 MDT
URL: https://www.jstor.org/stable/20453726
fjournal: SIAM Review
acknowledgement: ack-nhfb
journalURL: http://epubs.siam.org/sirev
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Reuben Hersh and Roger Frye
rawtitle: Book Review: {{\booktitle{Mathematics by Experiment: Plausible Reasoning in the 21st Century}}}
entry:
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  author =       "Reuben Hersh and Roger Frye",
  title =        "Book Review: {{\booktitle{Mathematics by Experiment:
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  journal =      j-SIAM-REVIEW,
  volume =       "47",
  number =       "4",
  pages =        "832--833",
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  bibdate =      "Sat Aug 13 18:09:13 MDT 2016",
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bibtype: article
filename: borwein-jonathan-m.bib
label: Hoare:2005:BRM
author: Graham Hoare
journal: j-MATH-GAZ
volume: 89
number: 514
pages: 143--144
month: mar
monthnumber: 3
year: 2005
CODEN: MAGAAS
ISSN: 0025-5572 (print), 2056-6328 (electronic) OR 00255572 (print), 20566328 (electronic)
ISSNL: 0025-5572 OR 00255572
bibdate: Sat Aug 13 18:09:13 MDT 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.13 18:09:13 MDT
URL: https://www.jstor.org/stable/3620673
fjournal: Mathematical Gazette
acknowledgement: ack-nhfb
journalURL: http://www.m-a.org.uk/jsp/index.jsp?lnk=620
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Graham Hoare
ORCID: Borwein, Jonathan/0000-0002-1263-0646
title:
Book Review: booktitle Mathematics by Experiment, by Jonathan M. Borwein, David H. Bailey. Plausible Reasoning in the 21st Century

rawtitle:
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  title =        "Book Review: {{\booktitle{Mathematics by Experiment}},
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bibtype: article
filename: borwein-jonathan-m.bib
label: Osburn:2005:RCB
author: Robert Osburn
title: A Remark on a Conjecture of Borwein and Choi
journal: j-PROC-AM-MATH-SOC
volume: 133
number: 10
pages: 2903--2909
month: oct
monthnumber: 10
year: 2005
CODEN: PAMYAR
DOI: https://doi.org/10.1090/S0002-9939-05-07980-3
ISSN: 0002-9939 (print), 1088-6826 (electronic) OR 00029939 (print), 10886826 (electronic)
ISSNL: 0002-9939 OR 00029939
MRclass: 11E25 (11E45)
MRnumber: 2159768
MRreviewer: Don Redmond
bibdate: Sat Aug 13 18:09:13 MDT 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.13 18:09:13 MDT
URL: https://www.jstor.org/stable/4097904
fjournal: Proceedings of the American Mathematical Society
acknowledgement: ack-nhfb
journalURL: http://www.ams.org/journals/proc
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Robert Osburn
rawtitle: A Remark on a Conjecture of {Borwein} and {Choi}
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
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  author =       "Robert Osburn",
  title =        "A Remark on a Conjecture of {Borwein} and {Choi}",
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  number =       "10",
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bibtype: article
filename: borwein-jonathan-m.bib
label: Shallit:2005:BRM
author: Jeffrey Shallit
journal: j-NAMS
volume: 52
number: 8
pages: 863--865
month: sep
monthnumber: 9
year: 2005
CODEN: AMNOAN
ISSN: 0002-9920 (print), 1088-9477 (electronic) OR 00029920 (print), 10889477 (electronic)
ISSNL: 0002-9920 OR 00029920
bibdate: Fri Sep 30 10:05:52 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.09.30 10:05:52 ???
URL: http://www.ams.org/notices/200508/rev-shallit.pdf
fjournal: Notices of the American Mathematical Society
acknowledgement: ack-nhfb
journalURL: http://www.ams.org/notices/
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Jeffrey Shallit
ORCID: Borwein, Jonathan/0000-0002-1263-0646
title:
Book Review: booktitle Mathematics by Experiment, Jonathan Borwein and David Bailey, A K Peters, 2003, 288 pages, $45.00, ISBN 1-56881-211-6. booktitle Experimentation in Mathematics, Jonathan Borwein, David Bailey, and Roland Girgensohn, A K Peters, 2004, 357 pages, $49.00, ISBN 1-56881-136-5

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@Article{Shallit:2005:BRM,
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bibtype: article
filename: borwein-jonathan-m.bib
label: Zeilberger:2005:SSM
author: Doron Zeilberger
journal: j-AM-SCI
volume: 93
number: 2
pages: 182--183
month: apr
monthnumber: 4
year: 2005
CODEN: AMSCAC
ISSN: 0003-0996 (print), 1545-2786 (electronic) OR 00030996 (print), 15452786 (electronic)
ISSNL: 0003-0996 OR 00030996
bibdate: Sat Aug 13 18:09:13 MDT 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.13 18:09:13 MDT
URL: https://www.jstor.org/stable/27858557
fjournal: American Scientist
acknowledgement: ack-nhfb
journalURL: http://www.americanscientist.org/issues/past.aspx
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Doron Zeilberger
ORCID: Borwein, Jonathan/0000-0002-1263-0646
title:
Serving a Silicon Master: Book Reviews: booktitle Mathematics by Experiment: Plausible Reasoning in the 21st Century. Jonathan Borwein and David Bailey, x + 288 pp. A K Peters, 2004. $45. booktitle Experimentation in Mathematics: Computational Paths to Discovery. Jonathan Borwein, David Bailey and Roland Girgensohn. + 357 pp. A Peters, 2004. $49

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bibtype: article
filename: borwein-jonathan-m.bib
label: Alaca:2006:TDT
author: Ayse Alaca and Saban Alaca and Kenneth S. Williams
title: On the two-dimensional theta functions of the Borweins
journal: j-ACTA-ARITHMETICA
volume: 124
number: 2
pages: 177--195
year: 2006
CODEN: AARIA9
DOI: https://doi.org/10.4064/aa124-2-4
ISSN: 0065-1036 (print), 1730-6264 (electronic) OR 00651036 (print), 17306264 (electronic)
ISSNL: 0065-1036 OR 00651036
MRclass: 11F27 (11D45 11E20 11E25)
MRnumber: 2262245
MRreviewer: Xiaotie She
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: Acta Arithmetica
acknowledgement: ack-nhfb
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rawauthor: Ay{\c{s}}e Alaca and {\c{S}}aban Alaca and Kenneth S. Williams
rawtitle: On the two-dimensional theta functions of the {Borweins}
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bibtype: article
filename: borwein-jonathan-m.bib
label: Bouza:2006:BRR
author: C. N. Bouza
journal: Revista Investigacion Operacional
volume: 27
number: 2
pages: 206--208
year: 2006
ISSN: 0257-4306 (print), 2224-5405 (electronic) OR 02574306 (print), 22245405 (electronic)
ISSNL: 0257-4306 OR 02574306
bibdate: Tue Aug 30 11:50:20 2022
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2022.08.30 11:50:20 ???
acknowledgement: ack-nhfb
journalURL: https://rev-inv-ope.pantheonsorbonne.fr/
rawauthor: C. N. Bouza
title:
Book Reviews / Resenas: booktitle Convex Analysis and Nonlinear Optimization. Theory and Examples, 2nd edition, Jonathan Borwein and Lewis Adrian S. (2006), xii + 310 pages. CMS Books in Mathematics / Ouvrages de Mathemematiques de la SMC, ISBN-10 0-387-29570-4. ISBN-13 978-0-387-29570-1

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Book Reviews\slash Rese{\~n}as: {{\booktitle{Convex Analysis and Nonlinear Optimization. Theory and Examples}}, 2nd edition, Jonathan Borwein and Lewis Adrian S. (2006), xii + 310 pages. CMS Books in Mathematics\slash Ouvrages de Mathem{\'e}matiques de la SMC, ISBN-10 0-387-29570-4. ISBN-13 978-0-387-29570-1}

entry:
@Article{Bouza:2006:BRR,
  author =       "C. N. Bouza",
  title =        "Book Reviews\slash Rese{\~n}as: {{\booktitle{Convex
                 Analysis and Nonlinear Optimization. Theory and
                 Examples}}, 2nd edition, Jonathan Borwein and Lewis
                 Adrian S. (2006), xii + 310 pages. CMS Books in
                 Mathematics\slash Ouvrages de Mathem{\'e}matiques de la
                 SMC, ISBN-10 0-387-29570-4. ISBN-13
                 978-0-387-29570-1}",
  journal =      "Revista Investigaci{\'o}n Operacional",
  volume =       "27",
  number =       "2",
  pages =        "206--208",
  year =         "2006",
  CODEN =        "????",
  ISSN =         "0257-4306 (print), 2224-5405 (electronic)",
  ISSN-L =       "0257-4306",
  bibdate =      "Tue Aug 30 11:50:20 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://archives-web.univ-paris1.fr/rev-inv-ope/fileadmin/rev-inv-ope/files/27206/IO_27206-BOOK_REVIEWS.pdf",
  acknowledgement = ack-nhfb,
  journal-URL =  "https://rev-inv-ope.pantheonsorbonne.fr/",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Dai:2006:CBB
author: Yu-Hong Dai and William W. Hager and Klaus Schittkowski and Hongchao Zhang
title: The cyclic Barzilai--Borwein method for unconstrained optimization
journal: j-IMA-J-NUMER-ANAL
volume: 26
number: 3
pages: 604--627
year: 2006
CODEN: IJNADN
DOI: https://doi.org/10.1093/imanum/drl006
ISSN: 0272-4979 (print), 1464-3642 (electronic) OR 02724979 (print), 14643642 (electronic)
ISSNL: 0272-4979 OR 02724979
MRclass: 90C30 (90C52)
MRnumber: 2241317
MRreviewer: Fabi{\'a}n Flores-Baz{\'a}n
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: IMA Journal of Numerical Analysis
acknowledgement: ack-nhfb
journalURL: http://imajna.oxfordjournals.org/content/by/year
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Yu-Hong Dai and William W. Hager and Klaus Schittkowski and Hongchao Zhang
rawtitle: The cyclic {Barzilai--Borwein} method for unconstrained optimization
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Dai:2006:CBB,
  author =       "Yu-Hong Dai and William W. Hager and Klaus
                 Schittkowski and Hongchao Zhang",
  title =        "The cyclic {Barzilai--Borwein} method for
                 unconstrained optimization",
  journal =      j-IMA-J-NUMER-ANAL,
  volume =       "26",
  number =       "3",
  pages =        "604--627",
  year =         "2006",
  CODEN =        "IJNADN",
  DOI =          "https://doi.org/10.1093/imanum/drl006",
  ISSN =         "0272-4979 (print), 1464-3642 (electronic)",
  ISSN-L =       "0272-4979",
  MRclass =      "90C30 (90C52)",
  MRnumber =     "2241317",
  MRreviewer =   "Fabi{\'a}n Flores-Baz{\'a}n",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "IMA Journal of Numerical Analysis",
  journal-URL =  "http://imajna.oxfordjournals.org/content/by/year",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Robin:2006:BRP
author: Anthony C. Robin
title: Book Review: booktitle Pi: A Source Book
journal: j-MATH-GAZ
volume: 90
number: 518
pages: 375--376
month: jul
monthnumber: 7
year: 2006
CODEN: MAGAAS
ISSN: 0025-5572 (print), 2056-6328 (electronic) OR 00255572 (print), 20566328 (electronic)
ISSNL: 0025-5572 OR 00255572
bibdate: Sat Aug 13 18:09:13 MDT 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.13 18:09:13 MDT
URL: https://www.jstor.org/stable/40378657
fjournal: Mathematical Gazette
acknowledgement: ack-nhfb
journalURL: http://www.m-a.org.uk/jsp/index.jsp?lnk=620
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Anthony C. Robin
rawtitle: Book Review: {{\booktitle{Pi: A Source Book}}}
entry:
@Article{Robin:2006:BRP,
  author =       "Anthony C. Robin",
  title =        "Book Review: {{\booktitle{Pi: A Source Book}}}",
  journal =      j-MATH-GAZ,
  volume =       "90",
  number =       "518",
  pages =        "375--376",
  month =        jul,
  year =         "2006",
  CODEN =        "MAGAAS",
  ISSN =         "0025-5572 (print), 2056-6328 (electronic)",
  ISSN-L =       "0025-5572",
  bibdate =      "Sat Aug 13 18:09:13 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "https://www.jstor.org/stable/40378657",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematical Gazette",
  journal-URL =  "http://www.m-a.org.uk/jsp/index.jsp?lnk=620",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Zaharescu:2006:BCA
author: Alexandru Zaharescu
title: Borwein's conjecture on average over arithmetic progressions
journal: j-RAMANUJAN-J
volume: 11
number: 1
pages: 95--102
year: 2006
CODEN: RAJOF9
DOI: https://doi.org/10.1007/s11139-006-5309-8
ISSN: 1382-4090 (print), 1572-9303 (electronic) OR 13824090 (print), 15729303 (electronic)
ISSNL: 1382-4090 OR 13824090
MRclass: 11B65 (05A30)
MRnumber: 2220659
MRreviewer: Frank G. Garvan
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: The Ramanujan Journal
acknowledgement: ack-nhfb
journalURL: http://link.springer.com/journal/11139
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Alexandru Zaharescu
rawtitle: {Borwein}'s conjecture on average over arithmetic progressions
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Zaharescu:2006:BCA,
  author =       "Alexandru Zaharescu",
  title =        "{Borwein}'s conjecture on average over arithmetic
                 progressions",
  journal =      j-RAMANUJAN-J,
  volume =       "11",
  number =       "1",
  pages =        "95--102",
  year =         "2006",
  CODEN =        "RAJOF9",
  DOI =          "https://doi.org/10.1007/s11139-006-5309-8",
  ISSN =         "1382-4090 (print), 1572-9303 (electronic)",
  ISSN-L =       "1382-4090",
  MRclass =      "11B65 (05A30)",
  MRnumber =     "2220659",
  MRreviewer =   "Frank G. Garvan",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "The {Ramanujan} Journal",
  journal-URL =  "http://link.springer.com/journal/11139",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: incollection
filename: borwein-jonathan-m.bib
label: Zhang:2006:PPA
author: Hongchao Zhang and William W. Hager
booktitle: Multiscale optimization methods and applications
title: PACBB: a projected adaptive cyclic Barzilai--Borwein method for box constrained optimization
volume: 82
publisher: Springer, New York
pages: 387--392
year: 2006
DOI: https://doi.org/10.1007/0-387-29550-X_21
MRclass: 90C30 (90C52)
MRnumber: 2191596
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
series: Nonconvex Optim. Appl.
acknowledgement: ack-nhfb
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Hongchao Zhang and William W. Hager
rawbooktitle: Multiscale optimization methods and applications
rawtitle: {PACBB}: a projected adaptive cyclic {Barzilai--Borwein} method for box constrained optimization
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@InCollection{Zhang:2006:PPA,
  author =       "Hongchao Zhang and William W. Hager",
  booktitle =    "Multiscale optimization methods and applications",
  title =        "{PACBB}: a projected adaptive cyclic
                 {Barzilai--Borwein} method for box constrained
                 optimization",
  volume =       "82",
  publisher =    "Springer, New York",
  pages =        "387--392",
  year =         "2006",
  DOI =          "https://doi.org/10.1007/0-387-29550-X_21",
  MRclass =      "90C30 (90C52)",
  MRnumber =     "2191596",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  series =       "Nonconvex Optim. Appl.",
  acknowledgement = ack-nhfb,
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: AragonArtacho:2007:NSC
author: Francisco J. Aragon Artacho
title: A new and self-contained proof of Borwein's norm duality theorem
journal: j-SET-VALUED-ANAL
volume: 15
number: 3
pages: 307--315
year: 2007
CODEN: SVANEG
DOI: https://doi.org/10.1007/s11228-006-0040-6
ISSN: 0927-6947 (print), 1572-932x (electronic) OR 09276947 (print), 1572932x (electronic)
ISSNL: 0927-6947 OR 09276947
MRclass: 47H04 (47N10 54C60)
MRnumber: 2328864
MRreviewer: Vladimir V. Goncharov
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
URL: http://docserver.carma.newcastle.edu.au/914
acknowledgement: ack-nhfb
journalURL: http://link.springer.com/journal/11228
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Francisco J. {Arag{\'o}n Artacho}
rawtitle: A new and self-contained proof of {Borwein}'s norm duality theorem
ORCID: Aragon Artacho, Francisco Javier/0000-0002-2445-8011; Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{AragonArtacho:2007:NSC,
  author =       "Francisco J. {Arag{\'o}n Artacho}",
  title =        "A new and self-contained proof of {Borwein}'s norm
                 duality theorem",
  journal =      j-SET-VALUED-ANAL,
  volume =       "15",
  number =       "3",
  pages =        "307--315",
  year =         "2007",
  CODEN =        "SVANEG",
  DOI =          "https://doi.org/10.1007/s11228-006-0040-6",
  ISSN =         "0927-6947 (print), 1572-932x (electronic)",
  ISSN-L =       "0927-6947",
  MRclass =      "47H04 (47N10 54C60)",
  MRnumber =     "2328864",
  MRreviewer =   "Vladimir V. Goncharov",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/914",
  acknowledgement = ack-nhfb,
  fjournal =     "Set-Valued Analysis. An International Journal Devoted
                 to the Theory of Multifunctions and its Applications",
  journal-URL =  "http://link.springer.com/journal/11228",
  ORCID-numbers = "Aragon Artacho, Francisco Javier/0000-0002-2445-8011;
                 Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Gourevitch:2007:CBS
author: Boris Gourevitch and Jesus Guillera Goyanes
title: Construction of binomial sums for $ pi $ and polylogarithmic constants inspired by BBP formulas
journal: Applied Mathematics E-Notes
volume: 7
pages: 237--246
year: 2007
ISSN: 1607-2510 OR 16072510
MRclass: 40C10 (11Y60)
MRnumber: 2346048
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
URL: http://www.math.nthu.edu.tw/%7Eamen/2007/061028-2.pdf
fjournal: Applied Mathematics E-Notes
acknowledgement: ack-nhfb
ajournal: Appl. Math. E-Notes
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Boris Gour{\'e}vitch and Jes{\'u}s Guillera Goyanes
rawtitle: Construction of binomial sums for $ \pi $ and polylogarithmic constants inspired by {BBP} formulas
abstract:
We present new sums involving binomial coefficients for $ pi $ and various logarithms and polylogarithms constants. These sums are a generalization of BBP formulas first introduced by D. Bailey, P. Borwein and S. Plouffe in 1995. In this paper, we describe how to find and prove such sums using the Beta function at integer and rational arguments.

rawabstract:
We present new sums involving binomial coefficients for $ \pi $ and various logarithms and polylogarithms constants. These sums are a generalization of BBP formulas first introduced by D. Bailey, P. Borwein and S. Plouffe in 1995. In this paper, we describe how to find and prove such sums using the Beta function at integer and rational arguments.

entry:
@Article{Gourevitch:2007:CBS,
  author =       "Boris Gour{\'e}vitch and Jes{\'u}s Guillera Goyanes",
  title =        "Construction of binomial sums for $ \pi $ and
                 polylogarithmic constants inspired by {BBP} formulas",
  journal =      "Applied Mathematics E-Notes",
  volume =       "7",
  pages =        "237--246",
  year =         "2007",
  ISSN =         "1607-2510",
  MRclass =      "40C10 (11Y60)",
  MRnumber =     "2346048",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://www.math.nthu.edu.tw/%7Eamen/2007/061028-2.pdf",
  abstract =     "We present new sums involving binomial coefficients
                 for $ \pi $ and various logarithms and polylogarithms
                 constants. These sums are a generalization of BBP
                 formulas first introduced by D. Bailey, P. Borwein and
                 S. Plouffe in 1995. In this paper, we describe how to
                 find and prove such sums using the Beta function at
                 integer and rational arguments.",
  acknowledgement = ack-nhfb,
  ajournal =     "Appl. Math. E-Notes",
  fjournal =     "Applied Mathematics E-Notes",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Hu:2007:IBB
author: Yi-Qing Hu and Yu-Hong Dai
title: Inexact Barzilai--Borwein method for saddle point problems
journal: j-NUM-LIN-ALG-APPL
volume: 14
number: 4
pages: 299--317
year: 2007
CODEN: NLAAEM
DOI: https://doi.org/10.1002/nla.516
ISSN: 1070-5325 (print), 1099-1506 (electronic) OR 10705325 (print), 10991506 (electronic)
ISSNL: 1070-5325 OR 10705325
MRclass: 65F10
MRnumber: 2310393
MRreviewer: Paulo B. Vasconcelos
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: Numerical Linear Algebra with Applications
keywords: Barzilai--Borwein method; R-linear convergence; saddle point problem; Uzawa algorithm
acknowledgement: ack-nhfb
journalURL: http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Yi-Qing Hu and Yu-Hong Dai
rawtitle: Inexact {Barzilai--Borwein} method for saddle point problems
ORCID: Borwein, Jonathan/0000-0002-1263-0646
abstract:
This paper considers the inexact Barzilai--Borwein (BB) algorithm applied to saddle point problems. To this aim, we study the convergence properties of the inexact BB algorithm for symmetric positive definite linear systems. Suppose that $ g_k $ and $ bar g_k $ are the exact residual and its approximation of the linear system at the $k$ th iteration, respectively. We prove the $R$-linear convergence of the algorithm if $ || bar g_k - g_k|| leq eta ||g_k||$ for some small $ eta > 0$ and all $k$. To adapt the algorithm for solving saddle point problems, we also extend the $R$-linear convergence result to the case when the right-hand term $ || bar g_k||$ is replaced by $ || bar g_k - 1||$. Although our theoretical analyses cannot provide a good estimate to the parameter $ eta $, in practice, we find that $ eta $ can be as large as the one in the inexact Uzawa algorithm. Further numerical experiments show that the inexact BB algorithm performs well for the tested saddle point problems.

rawabstract:
This paper considers the inexact Barzilai--Borwein (BB) algorithm applied to saddle point problems. To this aim, we study the convergence properties of the inexact BB algorithm for symmetric positive definite linear systems. Suppose that $ g_k $ and $ \bar {g}_k $ are the exact residual and its approximation of the linear system at the $k$ th iteration, respectively. We prove the $R$-linear convergence of the algorithm if $ || \bar {g}_k - g_k|| \leq \eta ||g_k||$ for some small $ \eta > 0$ and all $k$. To adapt the algorithm for solving saddle point problems, we also extend the $R$-linear convergence result to the case when the right-hand term $ || \bar {g}_k||$ is replaced by $ || \bar {g}_{k - 1}||$. Although our theoretical analyses cannot provide a good estimate to the parameter $ \eta $, in practice, we find that $ \eta $ can be as large as the one in the inexact Uzawa algorithm. Further numerical experiments show that the inexact BB algorithm performs well for the tested saddle point problems.

entry:
@Article{Hu:2007:IBB,
  author =       "Yi-Qing Hu and Yu-Hong Dai",
  title =        "Inexact {Barzilai--Borwein} method for saddle point
                 problems",
  journal =      j-NUM-LIN-ALG-APPL,
  volume =       "14",
  number =       "4",
  pages =        "299--317",
  year =         "2007",
  CODEN =        "NLAAEM",
  DOI =          "https://doi.org/10.1002/nla.516",
  ISSN =         "1070-5325 (print), 1099-1506 (electronic)",
  ISSN-L =       "1070-5325",
  MRclass =      "65F10",
  MRnumber =     "2310393",
  MRreviewer =   "Paulo B. Vasconcelos",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  abstract =     "This paper considers the inexact Barzilai--Borwein
                 (BB) algorithm applied to saddle point problems. To
                 this aim, we study the convergence properties of the
                 inexact BB algorithm for symmetric positive definite
                 linear systems. Suppose that $ g_k $ and $ \bar {g}_k $
                 are the exact residual and its approximation of the
                 linear system at the $k$ th iteration, respectively. We
                 prove the $R$-linear convergence of the algorithm if $
                 || \bar {g}_k - g_k|| \leq \eta ||g_k||$ for some small
                 $ \eta > 0$ and all $k$. To adapt the algorithm for
                 solving saddle point problems, we also extend the
                 $R$-linear convergence result to the case when the
                 right-hand term $ || \bar {g}_k||$ is replaced by $ ||
                 \bar {g}_{k - 1}||$. Although our theoretical analyses
                 cannot provide a good estimate to the parameter $ \eta
                 $, in practice, we find that $ \eta $ can be as large
                 as the one in the inexact Uzawa algorithm. Further
                 numerical experiments show that the inexact BB
                 algorithm performs well for the tested saddle point
                 problems.",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Linear Algebra with Applications",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506",
  keywords =     "Barzilai--Borwein method; R-linear convergence; saddle
                 point problem; Uzawa algorithm",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Qiu:2007:LCL
author: J. H. Qiu and S. Rolewicz
title: Local completeness of locally pseudoconvex spaces and Borwein--Preiss variational principle
journal: j-STUDIA-MATH
volume: 183
number: 2
pages: 99--115
year: 2007
CODEN: SMATAZ
DOI: https://doi.org/10.4064/sm183-2-1
ISSN: 0039-3223 (print), 1730-6337 (electronic) OR 00393223 (print), 17306337 (electronic)
ISSNL: 0039-3223 OR 00393223
MRclass: 46A55 (46N10 49J45)
MRnumber: 2353880
MRreviewer: Diethard Pallaschke
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: Studia Mathematica
acknowledgement: ack-nhfb
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: J. H. Qiu and S. Rolewicz
rawtitle: Local completeness of locally pseudoconvex spaces and {Borwein--Preiss} variational principle
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Qiu:2007:LCL,
  author =       "J. H. Qiu and S. Rolewicz",
  title =        "Local completeness of locally pseudoconvex spaces and
                 {Borwein--Preiss} variational principle",
  journal =      j-STUDIA-MATH,
  volume =       "183",
  number =       "2",
  pages =        "99--115",
  year =         "2007",
  CODEN =        "SMATAZ",
  DOI =          "https://doi.org/10.4064/sm183-2-1",
  ISSN =         "0039-3223 (print), 1730-6337 (electronic)",
  ISSN-L =       "0039-3223",
  MRclass =      "46A55 (46N10 49J45)",
  MRnumber =     "2353880",
  MRreviewer =   "Diethard Pallaschke",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Studia Mathematica",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Wang:2007:PBB
author: Yanfei Wang and Shiqian Ma
title: Projected Barzilai--Borwein method for large-scale nonnegative image restoration
journal: j-INVERSE-PROBL-SCI-ENG
volume: 15
number: 6
pages: 559--583
year: 2007
CODEN: IPSECR
DOI: https://doi.org/10.1080/17415970600881897
ISSN: 1741-5977 (print), 1741-5985 (electronic) OR 17415977 (print), 17415985 (electronic)
ISSNL: 1741-5977 OR 17415977
MRclass: 65K10 (65J20 94A08)
MRnumber: 2363732
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: Inverse Problems in Science and Engineering
acknowledgement: ack-nhfb
journalURL: http://www.tandfonline.com/loi/gipe20
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Yanfei Wang and Shiqian Ma
rawtitle: Projected {Barzilai--Borwein} method for large-scale nonnegative image restoration
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Wang:2007:PBB,
  author =       "Yanfei Wang and Shiqian Ma",
  title =        "Projected {Barzilai--Borwein} method for large-scale
                 nonnegative image restoration",
  journal =      j-INVERSE-PROBL-SCI-ENG,
  volume =       "15",
  number =       "6",
  pages =        "559--583",
  year =         "2007",
  CODEN =        "IPSECR",
  DOI =          "https://doi.org/10.1080/17415970600881897",
  ISSN =         "1741-5977 (print), 1741-5985 (electronic)",
  ISSN-L =       "1741-5977",
  MRclass =      "65K10 (65J20 94A08)",
  MRnumber =     "2363732",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Inverse Problems in Science and Engineering",
  journal-URL =  "http://www.tandfonline.com/loi/gipe20",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: techreport
filename: borwein-jonathan-m.bib
label: AragonArtacho:2008:NSC
author: Francisco J. Aragon Artacho
title: A new and self-contained proof of Borwein's norm duality theorem
type: Report
institution: Department of Statistics and Operations Research, University of Alicante
address: 03071 Alicante, Spain
pages: 13
day: 29
month: may
monthnumber: 5
year: 2008
MRclass: 49J53, 47H04, 54C60
bibdate: Thu Sep 01 16:10:37 2022
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2022.09.01 16:10:37 ???
URL: http://docserver.carma.newcastle.edu.au/914
keywords: convex process; inner norm; norm duality; outer norm; sublinear mapping
acknowledgement: ack-nhfb
rawauthor: Francisco J. {Arag{\'o}n Artacho}
rawtitle: A new and self-contained proof of {Borwein}'s norm duality theorem
ORCID: Aragon Artacho, Francisco Javier/0000-0002-2445-8011
abstract:
Borwein's norm duality theorem establishes the equality between the outer (inner) norm of a sublinear mapping and the inner (outer) norm of its adjoint mappings. In this note we provide an extended version of this theorem with a new and self-contained proof relying only on the Hahn-Banach theorem. We also give examples showing that the assumptions of the theorem cannot be relaxed.

rawabstract:
Borwein's norm duality theorem establishes the equality between the outer (inner) norm of a sublinear mapping and the inner (outer) norm of its adjoint mappings. In this note we provide an extended version of this theorem with a new and self-contained proof relying only on the Hahn-Banach theorem. We also give examples showing that the assumptions of the theorem cannot be relaxed.

entry:
@TechReport{AragonArtacho:2008:NSC,
  author =       "Francisco J. {Arag{\'o}n Artacho}",
  title =        "A new and self-contained proof of {Borwein}'s norm
                 duality theorem",
  type =         "Report",
  institution =  "Department of Statistics and Operations Research,
                 University of Alicante",
  address =      "03071 Alicante, Spain",
  pages =        "13",
  day =          "29",
  month =        may,
  year =         "2008",
  MRclass =      "49J53, 47H04, 54C60",
  bibdate =      "Thu Sep 01 16:10:37 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/914",
  abstract =     "Borwein's norm duality theorem establishes the
                 equality between the outer (inner) norm of a sublinear
                 mapping and the inner (outer) norm of its adjoint
                 mappings. In this note we provide an extended version
                 of this theorem with a new and self-contained proof
                 relying only on the Hahn-Banach theorem. We also give
                 examples showing that the assumptions of the theorem
                 cannot be relaxed.",
  acknowledgement = ack-nhfb,
  keywords =     "convex process; inner norm; norm duality; outer norm;
                 sublinear mapping",
  ORCID-numbers = "Aragon Artacho, Francisco
                 Javier/0000-0002-2445-8011",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Guillera:2008:EPS
author: Jesus Guillera
title: Easy proofs of some Borwein algorithms for $ pi $
journal: j-AMER-MATH-MONTHLY
volume: 115
number: 9
pages: 850--854
month: nov
monthnumber: 11
year: 2008
CODEN: AMMYAE
ISSN: 0002-9890 (print), 1930-0972 (electronic) OR 00029890 (print), 19300972 (electronic)
ISSNL: 0002-9890 OR 00029890
MRclass: 11Y60
MRnumber: 2463297
bibdate: Sat Aug 13 18:09:13 MDT 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.13 18:09:13 MDT
URL: https://www.jstor.org/stable/27642614
fjournal: American Mathematical Monthly
acknowledgement: ack-nhfb
journalURL: https://www.jstor.org/journals/00029890.html
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Jes{\'u}s Guillera
rawtitle: Easy proofs of some {Borwein} algorithms for $ \pi $
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Guillera:2008:EPS,
  author =       "Jes{\'u}s Guillera",
  title =        "Easy proofs of some {Borwein} algorithms for $ \pi $",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "115",
  number =       "9",
  pages =        "850--854",
  month =        nov,
  year =         "2008",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRclass =      "11Y60",
  MRnumber =     "2463297",
  bibdate =      "Sat Aug 13 18:09:13 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "https://www.jstor.org/stable/27642614",
  acknowledgement = ack-nhfb,
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "https://www.jstor.org/journals/00029890.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Lorentzen:2008:CDR
author: Lisa Lorentzen
title: Convergence and divergence of the Ramanujan AGM fraction
journal: j-RAMANUJAN-J
volume: 16
number: 1
pages: 83--95
month: may
monthnumber: 5
year: 2008
DOI: https://doi.org/10.1007/s11139-007-9112-y
ISSN: 1382-4090 (print), 1572-9303 (electronic) OR 13824090 (print), 15729303 (electronic)
ISSNL: 1382-4090 OR 13824090
bibdate: Tue Mar 14 15:27:34 2017
bibtimestamp: 2017.03.14 15:27:34 ???
fjournal: The Ramanujan Journal
acknowledgement: ack-nhfb
journalURL: http://link.springer.com/journal/11139
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Lisa Lorentzen
rawtitle: Convergence and divergence of the {Ramanujan} {AGM} fraction
bibsource:
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; https://www.math.utah.edu/pub/tex/bib/agm.bib

abstract:
We prove that the Ramanujan AGM fraction diverges if $ |a| = |b| $ with $ a^2 neq b^2 $. Thereby we prove two conjectures posed by J. Borwein and R. Crandall. We also demonstrate a method for accelerating the convergence of this continued fraction when it converges.

rawabstract:
We prove that the Ramanujan AGM fraction diverges if $ |a| = |b| $ with $ a^2 \neq b^2 $. Thereby we prove two conjectures posed by J. Borwein and R. Crandall. We also demonstrate a method for accelerating the convergence of this continued fraction when it converges.

entry:
@Article{Lorentzen:2008:CDR,
  author =       "Lisa Lorentzen",
  title =        "Convergence and divergence of the {Ramanujan} {AGM}
                 fraction",
  journal =      j-RAMANUJAN-J,
  volume =       "16",
  number =       "1",
  pages =        "83--95",
  month =        may,
  year =         "2008",
  DOI =          "https://doi.org/10.1007/s11139-007-9112-y",
  ISSN =         "1382-4090 (print), 1572-9303 (electronic)",
  ISSN-L =       "1382-4090",
  bibdate =      "Tue Mar 14 15:27:34 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/agm.bib",
  abstract =     "We prove that the Ramanujan AGM fraction diverges if $
                 |a| = |b| $ with $ a^2 \neq b^2 $. Thereby we prove two
                 conjectures posed by J. Borwein and R. Crandall. We
                 also demonstrate a method for accelerating the
                 convergence of this continued fraction when it
                 converges.",
  acknowledgement = ack-nhfb,
  fjournal =     "The {Ramanujan} Journal",
  journal-URL =  "http://link.springer.com/journal/11139",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Xiao:2008:SBB
author: Yunhai Xiao and Qingjie Hu
title: Subspace Barzilai--Borwein gradient method for large-scale bound constrained optimization
journal: j-APPL-MATH-OPTIM
volume: 58
number: 2
pages: 275--290
year: 2008
CODEN: AMOMBN
DOI: https://doi.org/10.1007/s00245-008-9038-9
ISSN: 0095-4616 (print), 1432-0606 (electronic) OR 00954616 (print), 14320606 (electronic)
ISSNL: 0095-4616 OR 00954616
MRclass: 90C52 (65K10 90C26)
MRnumber: 2439663
MRreviewer: C. Ilioi
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: Applied Mathematics and Optimization. An International Journal with Applications to Stochastics
acknowledgement: ack-nhfb
journalURL: http://link.springer.com/journal/245
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Yunhai Xiao and Qingjie Hu
rawtitle: Subspace {Barzilai--Borwein} gradient method for large-scale bound constrained optimization
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Xiao:2008:SBB,
  author =       "Yunhai Xiao and Qingjie Hu",
  title =        "Subspace {Barzilai--Borwein} gradient method for
                 large-scale bound constrained optimization",
  journal =      j-APPL-MATH-OPTIM,
  volume =       "58",
  number =       "2",
  pages =        "275--290",
  year =         "2008",
  CODEN =        "AMOMBN",
  DOI =          "https://doi.org/10.1007/s00245-008-9038-9",
  ISSN =         "0095-4616 (print), 1432-0606 (electronic)",
  ISSN-L =       "0095-4616",
  MRclass =      "90C52 (65K10 90C26)",
  MRnumber =     "2439663",
  MRreviewer =   "C. Ilioi",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Mathematics and Optimization. An International
                 Journal with Applications to Stochastics",
  journal-URL =  "http://link.springer.com/journal/245",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Han:2009:APB
author: Lixing Han and Michael Neumann and Upendra Prasad
title: Alternating projected Barzilai--Borwein methods for nonnegative matrix factorization
journal: j-ELECTRON-TRANS-NUMER-ANAL
volume: 36
pages: 54--82
year: 2009/10
ISSN: 1068-9613 (print), 1097-4067 (electronic) OR 10689613 (print), 10974067 (electronic)
ISSNL: 1068-9613 OR 10689613
MRclass: 15B48 (15A23 65F05 90C52)
MRnumber: 2779998
MRreviewer: Elena Pelican
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
URL: http://etna.mcs.kent.edu/volumes/2001-2010/vol36/abstract.php?vol=36&pages=54-82
fjournal: Electronic Transactions on Numerical Analysis
acknowledgement: ack-nhfb
journalURL: http://etna.mcs.kent.edu/
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Lixing Han and Michael Neumann and Upendra Prasad
rawtitle: Alternating projected {Barzilai--Borwein} methods for nonnegative matrix factorization
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Han:2009:APB,
  author =       "Lixing Han and Michael Neumann and Upendra Prasad",
  title =        "Alternating projected {Barzilai--Borwein} methods for
                 nonnegative matrix factorization",
  journal =      j-ELECTRON-TRANS-NUMER-ANAL,
  volume =       "36",
  pages =        "54--82",
  year =         "2009/10",
  ISSN =         "1068-9613 (print), 1097-4067 (electronic)",
  ISSN-L =       "1068-9613",
  MRclass =      "15B48 (15A23 65F05 90C52)",
  MRnumber =     "2779998",
  MRreviewer =   "Elena Pelican",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://etna.mcs.kent.edu/volumes/2001-2010/vol36/abstract.php?vol=36&pages=54-82",
  acknowledgement = ack-nhfb,
  fjournal =     "Electronic Transactions on Numerical Analysis",
  journal-URL =  "http://etna.mcs.kent.edu/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Han:2009:MBB
author: Le Han and Gao Hang Yu and Lu Tai Guan
title: Multivariate Barzilai--Borwein method and its application in elastic registration of medical image
journal: j-ACTA-SCI-NATUR-UNIV-SUNYATSENI
volume: 48
number: 3
pages: 8--12, 21
year: 2009
CODEN: CHTHAJ
ISSN: 0529-6579 OR 05296579
MRclass: 92C55
MRnumber: 2548644
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: Acta Scientiarum Naturalium Universitatis Sunyatseni. Zhongshan Daxue Xuebao. Ziran Kexue Ban
acknowledgement: ack-nhfb
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Le Han and Gao Hang Yu and L{\"u} Tai Guan
ORCID: Borwein, Jonathan/0000-0002-1263-0646
rawtitle:
Multivariate {Barzilai--Borwein} method and its application in elastic registration of medical image

entry:
@Article{Han:2009:MBB,
  author =       "Le Han and Gao Hang Yu and L{\"u} Tai Guan",
  title =        "Multivariate {Barzilai--Borwein} method and its
                 application in elastic registration of medical image",
  journal =      j-ACTA-SCI-NATUR-UNIV-SUNYATSENI,
  volume =       "48",
  number =       "3",
  pages =        "8--12, 21",
  year =         "2009",
  CODEN =        "CHTHAJ",
  ISSN =         "0529-6579",
  MRclass =      "92C55",
  MRnumber =     "2548644",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Acta Scientiarum Naturalium Universitatis Sunyatseni.
                 Zhongshan Daxue Xuebao. Ziran Kexue Ban",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Hong:2009:NBC
author: Shao Fang Hong and Wei Cao
title: Notes on the Borwein--Choi conjecture of Littlewood cyclotomic polynomials
journal: Acta Math. Sin. (Engl. Ser.)
volume: 25
number: 1
pages: 65--76
year: 2009
DOI: https://doi.org/10.1007/s10114-008-6444-5
ISSN: 1439-7617 (print), 1439-8516 (electronic) OR 14397617 (print), 14398516 (electronic)
ISSNL: 1439-7617 OR 14397617
MRclass: 11R09 (11T22)
MRnumber: 2465525
MRreviewer: Montserrat Vela
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: Acta Mathematica Sinica (English Series)
acknowledgement: ack-nhfb
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Shao Fang Hong and Wei Cao
rawtitle: Notes on the {Borwein--Choi} conjecture of {Littlewood} cyclotomic polynomials
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Hong:2009:NBC,
  author =       "Shao Fang Hong and Wei Cao",
  title =        "Notes on the {Borwein--Choi} conjecture of
                 {Littlewood} cyclotomic polynomials",
  journal =      "Acta Math. Sin. (Engl. Ser.)",
  volume =       "25",
  number =       "1",
  pages =        "65--76",
  year =         "2009",
  DOI =          "https://doi.org/10.1007/s10114-008-6444-5",
  ISSN =         "1439-7617 (print), 1439-8516 (electronic)",
  ISSN-L =       "1439-7617",
  MRclass =      "11R09 (11T22)",
  MRnumber =     "2465525",
  MRreviewer =   "Montserrat Vela",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Acta Mathematica Sinica (English Series)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: LaCruz:2009:EBB
author: William La Cruz
title: Extension of the Barzilai--Borwein method for quadratic forms in finite Euclidean spaces
journal: j-NUMER-FUNCT-ANAL-OPTIM
volume: 30
number: 3--4
pages: 306--321
year: 2009
CODEN: NFADOL
DOI: https://doi.org/10.1080/01630560902841179
ISSN: 0163-0563 (print), 1532-2467 (electronic) OR 01630563 (print), 15322467 (electronic)
ISSNL: 0163-0563 OR 01630563
MRclass: 90C20 (65K10)
MRnumber: 2514219
MRreviewer: Mirjam D{\"u}r
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: Numerical Functional Analysis and Optimization. An International Journal
acknowledgement: ack-nhfb
journalURL: http://www.tandfonline.com/loi/lnfa20
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: William {La Cruz}
rawtitle: Extension of the {Barzilai--Borwein} method for quadratic forms in finite {Euclidean} spaces
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{LaCruz:2009:EBB,
  author =       "William {La Cruz}",
  title =        "Extension of the {Barzilai--Borwein} method for
                 quadratic forms in finite {Euclidean} spaces",
  journal =      j-NUMER-FUNCT-ANAL-OPTIM,
  volume =       "30",
  number =       "3--4",
  pages =        "306--321",
  year =         "2009",
  CODEN =        "NFADOL",
  DOI =          "https://doi.org/10.1080/01630560902841179",
  ISSN =         "0163-0563 (print), 1532-2467 (electronic)",
  ISSN-L =       "0163-0563",
  MRclass =      "90C20 (65K10)",
  MRnumber =     "2514219",
  MRreviewer =   "Mirjam D{\"u}r",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Functional Analysis and Optimization. An
                 International Journal",
  journal-URL =  "http://www.tandfonline.com/loi/lnfa20",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Lord:2009:BRE
author: Nick Lord
title: Book Review: booktitle Experimental Mathematics in Action
journal: j-MATH-GAZ
volume: 93
number: 528
pages: 564--566
month: nov
monthnumber: 11
year: 2009
CODEN: MAGAAS
ISSN: 0025-5572 (print), 2056-6328 (electronic) OR 00255572 (print), 20566328 (electronic)
ISSNL: 0025-5572 OR 00255572
bibdate: Sat Aug 13 18:09:13 MDT 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.13 18:09:13 MDT
URL: https://www.jstor.org/stable/40378594
fjournal: Mathematical Gazette
acknowledgement: ack-nhfb
journalURL: http://www.m-a.org.uk/jsp/index.jsp?lnk=620
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Nick Lord
rawtitle: Book Review: {{\booktitle{Experimental Mathematics in Action}}}
entry:
@Article{Lord:2009:BRE,
  author =       "Nick Lord",
  title =        "Book Review: {{\booktitle{Experimental Mathematics in
                 Action}}}",
  journal =      j-MATH-GAZ,
  volume =       "93",
  number =       "528",
  pages =        "564--566",
  month =        nov,
  year =         "2009",
  CODEN =        "MAGAAS",
  ISSN =         "0025-5572 (print), 2056-6328 (electronic)",
  ISSN-L =       "0025-5572",
  bibdate =      "Sat Aug 13 18:09:13 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "https://www.jstor.org/stable/40378594",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematical Gazette",
  journal-URL =  "http://www.m-a.org.uk/jsp/index.jsp?lnk=620",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: incollection
filename: borwein-jonathan-m.bib
label: Narushima:2009:EBB
author: Yasushi Narushima and Takahiko Wakamatsu and Hiroshi Yabe
booktitle: Nonlinear analysis and convex analysis
title: Extended Barzilai--Borwein method for minimizing a strictly convex quadratic function
publisher: Yokohama Publ., Yokohama
pages: 141--150
year: 2009
MRclass: 90C20 (90C52)
MRnumber: 2906496
MRreviewer: Wies{\l}awa T. Obuchowska
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
acknowledgement: ack-nhfb
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Yasushi Narushima and Takahiko Wakamatsu and Hiroshi Yabe
rawbooktitle: Nonlinear analysis and convex analysis
rawtitle: Extended {Barzilai--Borwein} method for minimizing a strictly convex quadratic function
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@InCollection{Narushima:2009:EBB,
  author =       "Yasushi Narushima and Takahiko Wakamatsu and Hiroshi
                 Yabe",
  booktitle =    "Nonlinear analysis and convex analysis",
  title =        "Extended {Barzilai--Borwein} method for minimizing a
                 strictly convex quadratic function",
  publisher =    "Yokohama Publ., Yokohama",
  pages =        "141--150",
  year =         "2009",
  MRclass =      "90C20 (90C52)",
  MRnumber =     "2906496",
  MRreviewer =   "Wies{\l}awa T. Obuchowska",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Rajkovic:2009:GBC
author: Predrag M. Rajkovic and Marko D. Petkovic
title: Generalized Borwein conjecture and partitions of natural numbers
journal: Funct. Anal. Approx. Comput.
volume: 1
number: 2
pages: 47--56
year: 2009
ISSN: 1821-410X (print), 2406-1573 (electronic) OR 1821410X (print), 24061573 (electronic)
ISSNL: 1821-410X OR 1821410X
MRclass: 05A30 (11B83)
MRnumber: 2662890
MRreviewer: David M. Bressoud
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: Functional Analysis, Approximation and Computation
acknowledgement: ack-nhfb
journalURL: http://journal.pmf.ni.ac.rs/faac/index.php/faac
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Predrag M. Rajkovi{\'c} and Marko D. Petkovi{\'c}
rawtitle: Generalized {Borwein} conjecture and partitions of natural numbers
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entry:
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  title =        "Generalized {Borwein} conjecture and partitions of
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bibtype: article
filename: borwein-jonathan-m.bib
label: Adegoke:2010:HDI
author: Kunle Adegoke and Olawanle Layeni
journal: Appl. Math. E-Notes
volume: 10
pages: 70--75
year: 2010
ISSN: 1607-2510 OR 16072510
MRclass: 65D20 (26A24 40A25 41A58)
MRnumber: 2606839
MRreviewer: Vito Lampret
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: Applied Mathematics E-Notes
acknowledgement: ack-nhfb
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Kunle Adegoke and Olawanle Layeni
title:
The higher derivatives of the inverse tangent function and rapidly convergent BBP-type formulas for pi

rawtitle:
The higher derivatives of the inverse tangent function and rapidly convergent {BBP}-type formulas for pi

entry:
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  author =       "Kunle Adegoke and Olawanle Layeni",
  title =        "The higher derivatives of the inverse tangent function
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bibtype: article
filename: borwein-jonathan-m.bib
label: Adegoke:2010:NBT
author: Kunle Adegoke
title: New binary and ternary digit extraction (BBP-type) formulas for trilogarithm constants
journal: New York J. Math.
volume: 16
pages: 361--367
year: 2010
ISSN: 1076-9803 OR 10769803
MRclass: 11Y60 (33B30)
MRnumber: 2740581
MRreviewer: Shaun Cooper
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
URL: http://nyjm.albany.edu:8000/j/2010/16_361.html
fjournal: New York Journal of Mathematics
acknowledgement: ack-nhfb
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Kunle Adegoke
rawtitle: New binary and ternary digit extraction ({BBP}-type) formulas for trilogarithm constants
entry:
@Article{Adegoke:2010:NBT,
  author =       "Kunle Adegoke",
  title =        "New binary and ternary digit extraction ({BBP}-type)
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bibtype: article
filename: borwein-jonathan-m.bib
label: Bankov:2010:BRC
author: Kiril Bankov
journal: j-MATH-GAZ
volume: 94
number: 531
pages: 557--559
month: nov
monthnumber: 11
year: 2010
CODEN: MAGAAS
DOI: https://doi.org/10.2307/3618677
ISSN: 0025-5572 (print), 2056-6328 (electronic) OR 00255572 (print), 20566328 (electronic)
ISSNL: 0025-5572 OR 00255572
bibdate: Sat Aug 13 18:09:13 MDT 2016
bibtimestamp: 2016.08.13 18:09:13 MDT
URL: https://www.jstor.org/stable/25759758
fjournal: Mathematical Gazette
acknowledgement: ack-nhfb
ajournal: Math. Gaz.
journalURL: http://www.m-a.org.uk/jsp/index.jsp?lnk=620
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Kiril Bankov
ORCID: Borwein, Jonathan/0000-0002-1263-0646
title:
Book Review: booktitle Communicating mathematics in the digital era, by J. M. Borwein, E. M. Rocha, and J. F. Rodrigues. Pp. 325. $49.00 (Hardback), 2008. ISBN 978-1-56881-410-0 (A K Peters, Ltd.)

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rawtitle:
Book Review: {{\booktitle{Communicating mathematics in the digital era}}, by J. M. Borwein, E. M. Rocha, and J. F. Rodrigues. Pp. 325. \$49.00 (Hardback), 2008. ISBN 978-1-56881-410-0 (A K Peters, Ltd.)}

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  author =       "Kiril Bankov",
  title =        "Book Review: {{\booktitle{Communicating mathematics in
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  xxnote =       "Check downcased author string??",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Bauschke:2010:BWD
author: Heinz H. Bauschke and Xianfu Wang and Liangjin Yao
title: On Borwein--Wiersma decompositions of monotone linear relations
journal: j-SIAM-J-OPT
volume: 20
number: 5
pages: 2636--2652
year: 2010
CODEN: SJOPE8
DOI: https://doi.org/10.1137/09078016X
ISSN: 1052-6234 (print), 1095-7189 (electronic) OR 10526234 (print), 10957189 (electronic)
ISSNL: 1052-6234 OR 10526234
MRclass: 47H05 (47N10 90C25)
MRnumber: 2678408
MRreviewer: Teemu Pennanen
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: SIAM Journal on Optimization
acknowledgement: ack-nhfb
journalURL: http://epubs.siam.org/siopt
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Heinz H. Bauschke and Xianfu Wang and Liangjin Yao
rawtitle: On {Borwein--Wiersma} decompositions of monotone linear relations
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entry:
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  author =       "Heinz H. Bauschke and Xianfu Wang and Liangjin Yao",
  title =        "On {Borwein--Wiersma} decompositions of monotone
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}


bibtype: article
filename: borwein-jonathan-m.bib
label: Cvijovic:2010:PBB
author: Djurdje Cvijovic
journal: arxiv.org
pages: ??--??
day: 31
month: oct
monthnumber: 10
year: 2010
bibdate: Thu Aug 11 14:04:25 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 14:04:25 ???
URL: http://arxiv.org/abs/1011.0195
acknowledgement: ack-nhfb
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Djurdje Cvijovi{\'c}
ORCID: Borwein, Jonathan/0000-0002-1263-0646
title:
Proof of the Borwein--Broadhurst conjecture for a dilogarithmic integral arising in quantum field theory

rawtitle:
Proof of the {Borwein--Broadhurst} conjecture for a dilogarithmic integral arising in quantum field theory

entry:
@Article{Cvijovic:2010:PBB,
  author =       "Djurdje Cvijovi{\'c}",
  title =        "Proof of the {Borwein--Broadhurst} conjecture for a
                 dilogarithmic integral arising in quantum field
                 theory",
  journal =      "arxiv.org",
  volume =       "??",
  number =       "??",
  pages =        "??--??",
  day =          "31",
  month =        oct,
  year =         "2010",
  bibdate =      "Thu Aug 11 14:04:25 2016",
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  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  pagecount =    "8",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
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bibtype: article
filename: borwein-jonathan-m.bib
label: Narushima:2010:EBB
author: Yasushi Narushima and Takahiko Wakamatsu and Hiroshi Yabe
title: Extended Barzilai--Borwein method for unconstrained minimization problems
journal: Pac. J. Optim.
volume: 6
number: 3
pages: 591--613
year: 2010
ISSN: 1348-9151 (print), 1349-8169 (electronic) OR 13489151 (print), 13498169 (electronic)
ISSNL: 1348-9151 OR 13489151
MRclass: 90C30 (65K10 90C06)
MRnumber: 2743046
MRreviewer: Orizon P. Ferreira
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: Pacific Journal of Optimization. An International Journal
acknowledgement: ack-nhfb
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Yasushi Narushima and Takahiko Wakamatsu and Hiroshi Yabe
rawtitle: Extended {Barzilai--Borwein} method for unconstrained minimization problems
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entry:
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  author =       "Yasushi Narushima and Takahiko Wakamatsu and Hiroshi
                 Yabe",
  title =        "Extended {Barzilai--Borwein} method for unconstrained
                 minimization problems",
  journal =      "Pac. J. Optim.",
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  number =       "3",
  pages =        "591--613",
  year =         "2010",
  ISSN =         "1348-9151 (print), 1349-8169 (electronic)",
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  MRnumber =     "2743046",
  MRreviewer =   "Orizon P. Ferreira",
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  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Zhang:2010:NFB
author: Yan Zhang and Wenyu Sun and Liqun Qi
title: A nonmonotone filter Barzilai--Borwein method for optimization
journal: Asia-Pac. J. Oper. Res.
volume: 27
number: 1
pages: 55--69
year: 2010
DOI: https://doi.org/10.1142/S0217595910002582
ISSN: 0217-5959 (print), 1793-7019 (electronic) OR 02175959 (print), 17937019 (electronic)
ISSNL: 0217-5959 OR 02175959
MRclass: 90C53 (65K10 90C26)
MRnumber: 2646952
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: Asia-Pacific Journal of Operational Research
acknowledgement: ack-nhfb
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Yan Zhang and Wenyu Sun and Liqun Qi
rawtitle: A nonmonotone filter {Barzilai--Borwein} method for optimization
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entry:
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bibtype: article
filename: borwein-jonathan-m.bib
label: Zhao:2010:CBB
author: Jianqiang Zhao
title: On a conjecture of Borwein, Bradley and Broadhurst
journal: j-J-REINE-ANGEW-MATH
volume: 639
pages: 223--233
year: 2010
CODEN: JRMAA8
DOI: https://doi.org/10.1515/CRELLE.2010.016
ISSN: 0075-4102 (print), 1435-5345 (electronic) OR 00754102 (print), 14355345 (electronic)
ISSNL: 0075-4102 OR 00754102
MRclass: 11M32
MRnumber: 2608196
MRreviewer: Qingxue Wang
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: Journal fur die Reine und Angewandte Mathematik. [Crelle's Journal]
acknowledgement: ack-nhfb
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Jianqiang Zhao
rawtitle: On a conjecture of {Borwein}, {Bradley} and {Broadhurst}
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  title =        "On a conjecture of {Borwein}, {Bradley} and
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bibtype: article
filename: borwein-jonathan-m.bib
label: Adegoke:2011:SRB
author: Kunle Adegoke
title: Symbolic routes to BBP-type formulas of any degree in arbitrary bases
journal: Appl. Math. Inf. Sci.
volume: 5
number: 2
pages: 264--275
year: 2011
ISSN: 1935-0090 (print), 2325-0399 (electronic) OR 19350090 (print), 23250399 (electronic)
ISSNL: 1935-0090 OR 19350090
MRclass: 11Y60
MRnumber: 2803495
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: Applied Mathematics & Information Sciences
acknowledgement: ack-nhfb
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rawauthor: Kunle Adegoke
rawtitle: Symbolic routes to {BBP}-type formulas of any degree in arbitrary bases
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bibtype: article
filename: borwein-jonathan-m.bib
label: Bingham:2011:HKB
author: N. H. Bingham and A. J. Ostaszewski
title: Homotopy and the Kestelman--Borwein--Ditor theorem
journal: j-CAN-MATH-BULL
volume: 54
number: 1
pages: 12--20
year: 2011
CODEN: CMBUA3
DOI: https://doi.org/10.4153/CMB-2010-093-4
ISSN: 0008-4395 (print), 1496-4287 (electronic) OR 00084395 (print), 14964287 (electronic)
ISSNL: 0008-4395 OR 00084395
MRclass: 26A03 (54E52)
MRnumber: 2797483
MRreviewer: W{\l}adys{\l}aw Wilczy{\'n}ski
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: Canadian Mathematical Bulletin. Bulletin Canadien de Mathematiques
acknowledgement: ack-nhfb
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subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: N. H. Bingham and A. J. Ostaszewski
rawtitle: Homotopy and the {Kestelman--Borwein--Ditor} theorem
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  ISSN =         "0008-4395 (print), 1496-4287 (electronic)",
  ISSN-L =       "0008-4395",
  MRclass =      "26A03 (54E52)",
  MRnumber =     "2797483",
  MRreviewer =   "W{\l}adys{\l}aw Wilczy{\'n}ski",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Mathematical Bulletin. Bulletin Canadien de
                 Math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cmb/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Li:2011:FSM
author: Xiangli Li and Hongwei Liu and Xiaojun Sun
journal: j-NUMER-ALGORITHMS
volume: 57
number: 2
pages: 207--215
year: 2011
CODEN: NUALEG
DOI: https://doi.org/10.1007/s11075-010-9424-7
ISSN: 1017-1398 (print), 1572-9265 (electronic) OR 10171398 (print), 15729265 (electronic)
ISSNL: 1017-1398 OR 10171398
MRclass: 90C33 (65C30 90C15)
MRnumber: 2794478
MRreviewer: Huifu Xu
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: Numerical Algorithms
acknowledgement: ack-nhfb
journalURL: http://link.springer.com/journal/11075
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Xiangli Li and Hongwei Liu and Xiaojun Sun
ORCID: Borwein, Jonathan/0000-0002-1263-0646
title:
Feasible smooth method based on Barzilai--Borwein method for stochastic linear complementarity problem

rawtitle:
Feasible smooth method based on {Barzilai--Borwein} method for stochastic linear complementarity problem

entry:
@Article{Li:2011:FSM,
  author =       "Xiangli Li and Hongwei Liu and Xiaojun Sun",
  title =        "Feasible smooth method based on {Barzilai--Borwein}
                 method for stochastic linear complementarity problem",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "57",
  number =       "2",
  pages =        "207--215",
  year =         "2011",
  CODEN =        "NUALEG",
  DOI =          "https://doi.org/10.1007/s11075-010-9424-7",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  MRclass =      "90C33 (65C30 90C15)",
  MRnumber =     "2794478",
  MRreviewer =   "Huifu Xu",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Musev:2011:QJB
author: Boil Musev and Nadezhda Ribarska
title: On a question of J. Borwein and H. Wiersma
journal: j-PROC-AM-MATH-SOC
volume: 139
number: 5
pages: 1707--1716
year: 2011
CODEN: PAMYAR
DOI: https://doi.org/10.1090/S0002-9939-2010-10602-0
ISSN: 0002-9939 (print), 1088-6826 (electronic) OR 00029939 (print), 10886826 (electronic)
ISSNL: 0002-9939 OR 00029939
MRclass: 47H05 (49J53 52A41)
MRnumber: 2763759
MRreviewer: S{\'a}ndor Z. N{\'e}meth
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: Proceedings of the American Mathematical Society
acknowledgement: ack-nhfb
journalURL: http://www.ams.org/journals/proc
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Boil Musev and Nadezhda Ribarska
rawtitle: On a question of {J. Borwein} and {H. Wiersma}
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Musev:2011:QJB,
  author =       "Boil Musev and Nadezhda Ribarska",
  title =        "On a question of {J. Borwein} and {H. Wiersma}",
  journal =      j-PROC-AM-MATH-SOC,
  volume =       "139",
  number =       "5",
  pages =        "1707--1716",
  year =         "2011",
  CODEN =        "PAMYAR",
  DOI =          "https://doi.org/10.1090/S0002-9939-2010-10602-0",
  ISSN =         "0002-9939 (print), 1088-6826 (electronic)",
  ISSN-L =       "0002-9939",
  MRclass =      "47H05 (49J53 52A41)",
  MRnumber =     "2763759",
  MRreviewer =   "S{\'a}ndor Z. N{\'e}meth",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/proc",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Odlyzko:2011:BRE
author: Andrew Odlyzko
journal: j-AMER-MATH-MONTHLY
volume: 118
number: 10
pages: 946--951
month: dec
monthnumber: 12
year: 2011
CODEN: AMMYAE
DOI: https://doi.org/10.4169/amer.math.monthly.118.10.946
ISSN: 0002-9890 (print), 1930-0972 (electronic) OR 00029890 (print), 19300972 (electronic)
ISSNL: 0002-9890 OR 00029890
bibdate: Mon Jan 30 08:58:19 MST 2012
bibtimestamp: 2012.01.30 08:58:19 MST
fjournal: American Mathematical Monthly
acknowledgement: ack-nhfb
journalURL: https://www.jstor.org/journals/00029890.html
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Andrew Odlyzko
ORCID: Borwein, Jonathan/0000-0002-1263-0646
title:
Book Review: booktitle Experimental Mathematics in Action, by D. H. Bailey, J. M. Borwein, N. J. Calkin, R. Girgensohn, D. R. Luke, and V. H. Moll. A K Peters, Wellesley, MA, 2007. xii + 322 pp., ISBN 978-1-56881-271-7. $65

bibsource:
https://www.jstor.org/journals/00029890.html; https://www.jstor.org/stable/10.4169/amermathmont.118.issue-10; https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly2010.bib

URL:
https://www.jstor.org/stable/10.4169/amer.math.monthly.118.10.946; https://www.jstor.org/stable/pdfplus/10.4169/amer.math.monthly.118.10.946.pdf

rawtitle:
Book Review: {{\booktitle{Experimental Mathematics in Action}}, by D. H. Bailey, J. M. Borwein, N. J. Calkin, R. Girgensohn, D. R. Luke, and V. H. Moll. A K Peters, Wellesley, MA, 2007. xii + 322 pp., ISBN 978-1-56881-271-7. \$65}

entry:
@Article{Odlyzko:2011:BRE,
  author =       "Andrew Odlyzko",
  title =        "Book Review: {{\booktitle{Experimental Mathematics in
                 Action}}, by D. H. Bailey, J. M. Borwein, N. J. Calkin,
                 R. Girgensohn, D. R. Luke, and V. H. Moll. A K Peters,
                 Wellesley, MA, 2007. xii + 322 pp., ISBN
                 978-1-56881-271-7. \$65}",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "118",
  number =       "10",
  pages =        "946--951",
  month =        dec,
  year =         "2011",
  CODEN =        "AMMYAE",
  DOI =          "https://doi.org/10.4169/amer.math.monthly.118.10.946",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Mon Jan 30 08:58:19 MST 2012",
  bibsource =    "https://www.jstor.org/journals/00029890.html;
                 https://www.jstor.org/stable/10.4169/amermathmont.118.issue-10;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/amermathmonthly2010.bib",
  URL =          "https://www.jstor.org/stable/10.4169/amer.math.monthly.118.10.946;
                 https://www.jstor.org/stable/pdfplus/10.4169/amer.math.monthly.118.10.946.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "https://www.jstor.org/journals/00029890.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Pilehrood:2011:ABB
author: Kh. Hessami Pilehrood and T. Hessami Pilehrood
title: A $q$-analogue of the Bailey--Borwein--Bradley identity
journal: j-J-SYMBOLIC-COMP
volume: 46
number: 6
pages: 699--711
year: 2011
CODEN: JSYCEH
DOI: https://doi.org/10.1016/j.jsc.2011.01.006
ISSN: 0747-7171 (print), 1095-855x (electronic) OR 07477171 (print), 1095855x (electronic)
ISSNL: 0747-7171 OR 07477171
MRclass: 11B65
MRnumber: 2781948
MRreviewer: Jaroslav Seibert
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
URL: http://www.sciencedirect.com/science/article/pii/S0747717111000186
fjournal: Journal of Symbolic Computation
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/07477171
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Kh. Hessami Pilehrood and T. Hessami Pilehrood
rawtitle: A $q$-analogue of the {Bailey--Borwein--Bradley} identity
ORCID: Borwein, Jonathan/0000-0002-1263-0646
abstract:
We establish a $q$-analogue of the Bailey--Borwein--Bradley identity generating accelerated series for even zeta values and prove $q$ analogues of Markov's and Amdeberhan's series for $ zeta (3)$ using the $q$-Markov WZ method.

keywords:
$q$-analogue; $q$-Markov Wilf Zeilberger method; $q$-Markov WZ pair; Apery-like series; Convergence acceleration; Generating function; zeta values

rawabstract:
We establish a $q$-analogue of the Bailey--Borwein--Bradley identity generating accelerated series for even zeta values and prove $q$ analogues of Markov's and Amdeberhan's series for $ \zeta (3)$ using the $q$-Markov WZ method.

entry:
@Article{Pilehrood:2011:ABB,
  author =       "Kh. Hessami Pilehrood and T. Hessami Pilehrood",
  title =        "A $q$-analogue of the {Bailey--Borwein--Bradley}
                 identity",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "46",
  number =       "6",
  pages =        "699--711",
  year =         "2011",
  CODEN =        "JSYCEH",
  DOI =          "https://doi.org/10.1016/j.jsc.2011.01.006",
  ISSN =         "0747-7171 (print), 1095-855x (electronic)",
  ISSN-L =       "0747-7171",
  MRclass =      "11B65",
  MRnumber =     "2781948",
  MRreviewer =   "Jaroslav Seibert",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0747717111000186",
  abstract =     "We establish a $q$-analogue of the
                 Bailey--Borwein--Bradley identity generating
                 accelerated series for even zeta values and prove $q$
                 analogues of Markov's and Amdeberhan's series for $
                 \zeta (3)$ using the $q$-Markov WZ method.",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "$q$-analogue; $q$-Markov Wilf Zeilberger method;
                 $q$-Markov WZ pair; Ap{\'e}ry-like series; Convergence
                 acceleration; Generating function; zeta values",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Xie:2011:SSC
author: Zhipeng Xie and Songcan Chen
title: SCIHTBB: Sparsity constrained iterative hard thresholding with Barzilai--Borwein step size
journal: j-NEUROCOMPUTING
volume: 74
number: 17
pages: 3663--3676
year: 2011
CODEN: NRCGEO
DOI: https://doi.org/10.1016/j.neucom.2011.07.003
ISSN: 0925-2312 (print), 1872-8286 (electronic) OR 09252312 (print), 18728286 (electronic)
ISSNL: 0925-2312 OR 09252312
bibdate: Fri Aug 12 10:34:13 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.12 10:34:13 ???
URL: http://www.sciencedirect.com/science/article/pii/S0925231211003857
fjournal: Neurocomputing
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/09252312
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Zhipeng Xie and Songcan Chen
rawtitle: {SCIHTBB}: Sparsity constrained iterative hard thresholding with {Barzilai--Borwein} step size
ORCID: Borwein, Jonathan/0000-0002-1263-0646
abstract:
Iterative hard thresholding (IHT) is a class of effective methods to compute sparse solution for underdetermined linear system. In this paper, an efficient IHT method with theoretical guarantee is proposed and named SCIHTBB with attractive features: (1) Monotone and Non-Monotone versions are presented with initial Barzilai Borwein step size and finite step line search. (2) Convergence analysis has been developed based on the asymmetrical restricted isometry property. (3) An adaptive sparsity framework is provided to tackle the problem with unknown sparsity. (4) Some extensions are presented to handle group sparsity, non-negative sparsity and matrix rank minimization. Experimental comparisons with some state of the art methods verify that SCIHTBB is faster and more accurate for compressive sensing and matrix completion.

keywords:
Asymmetrical restricted isometry property; BB step size; Compressive sensing; Convergence analysis; Line search; Matrix completion

rawabstract:
Iterative hard thresholding (IHT) is a class of effective methods to compute sparse solution for underdetermined linear system. In this paper, an efficient IHT method with theoretical guarantee is proposed and named SCIHTBB with attractive features: (1) Monotone and Non-Monotone versions are presented with initial Barzilai Borwein step size and finite step line search. (2) Convergence analysis has been developed based on the asymmetrical restricted isometry property. (3) An adaptive sparsity framework is provided to tackle the problem with unknown sparsity. (4) Some extensions are presented to handle group sparsity, non-negative sparsity and matrix rank minimization. Experimental comparisons with some state of the art methods verify that SCIHTBB is faster and more accurate for compressive sensing and matrix completion.

entry:
@Article{Xie:2011:SSC,
  author =       "Zhipeng Xie and Songcan Chen",
  title =        "{SCIHTBB}: Sparsity constrained iterative hard
                 thresholding with {Barzilai--Borwein} step size",
  journal =      j-NEUROCOMPUTING,
  volume =       "74",
  number =       "17",
  pages =        "3663--3676",
  year =         "2011",
  CODEN =        "NRCGEO",
  DOI =          "https://doi.org/10.1016/j.neucom.2011.07.003",
  ISSN =         "0925-2312 (print), 1872-8286 (electronic)",
  ISSN-L =       "0925-2312",
  bibdate =      "Fri Aug 12 10:34:13 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0925231211003857",
  abstract =     "Iterative hard thresholding (IHT) is a class of
                 effective methods to compute sparse solution for
                 underdetermined linear system. In this paper, an
                 efficient IHT method with theoretical guarantee is
                 proposed and named SCIHTBB with attractive features:
                 (1) Monotone and Non-Monotone versions are presented
                 with initial Barzilai Borwein step size and finite step
                 line search. (2) Convergence analysis has been
                 developed based on the asymmetrical restricted isometry
                 property. (3) An adaptive sparsity framework is
                 provided to tackle the problem with unknown sparsity.
                 (4) Some extensions are presented to handle group
                 sparsity, non-negative sparsity and matrix rank
                 minimization. Experimental comparisons with some state
                 of the art methods verify that SCIHTBB is faster and
                 more accurate for compressive sensing and matrix
                 completion.",
  acknowledgement = ack-nhfb,
  fjournal =     "Neurocomputing",
  journal-URL =  "http://www.sciencedirect.com/science/journal/09252312",
  keywords =     "Asymmetrical restricted isometry property; BB step
                 size; Compressive sensing; Convergence analysis; Line
                 search; Matrix completion",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Adegoke:2012:NAD
author: Kunle Adegoke
title: A novel approach to the discovery of binary BBP-type formulas for polylogarithm constants
journal: j-INTEGERS
volume: 12
number: 3
pages: 345--371
year: 2012
CODEN: INTEHN
DOI: https://doi.org/10.1515/integ.2011.105
ISSN: 1867-0652 (print), 1867-0660 (electronic) OR 18670652 (print), 18670660 (electronic)
MRclass: 33Bxx (11Y60)
MRnumber: 2955519
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: Integers
acknowledgement: ack-nhfb
journalURL: http://www.degruyter.com/view/j/integ
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Kunle Adegoke
rawtitle: A novel approach to the discovery of binary {BBP}-type formulas for polylogarithm constants
entry:
@Article{Adegoke:2012:NAD,
  author =       "Kunle Adegoke",
  title =        "A novel approach to the discovery of binary {BBP}-type
                 formulas for polylogarithm constants",
  journal =      j-INTEGERS,
  volume =       "12",
  number =       "3",
  pages =        "345--371",
  year =         "2012",
  CODEN =        "INTEHN",
  DOI =          "https://doi.org/10.1515/integ.2011.105",
  ISSN =         "1867-0652 (print), 1867-0660 (electronic)",
  MRclass =      "33Bxx (11Y60)",
  MRnumber =     "2955519",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Integers",
  journal-URL =  "http://www.degruyter.com/view/j/integ",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Crandall:2012:GTB
author: Richard Crandall
title: The googol-th bit of the Erdos--Borwein constant
journal: j-INTEGERS
volume: 12
number: 5
pages: 811--840
year: 2012
CODEN: INTEHN
DOI: https://doi.org/10.1515/integers-2012-0007
ISSN: 1867-0652 (print), 1867-0660 (electronic) OR 18670652 (print), 18670660 (electronic)
MRclass: 11A63 (11A25 11J72 11Y60)
MRnumber: 2988549
MRreviewer: Jeffrey O. Shallit
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: Integers
acknowledgement: ack-nhfb
journalURL: http://www.degruyter.com/view/j/integ
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Richard Crandall
rawtitle: The googol-th bit of the {Erd{\H{o}}s--Borwein} constant
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Crandall:2012:GTB,
  author =       "Richard Crandall",
  title =        "The googol-th bit of the {Erd{\H{o}}s--Borwein}
                 constant",
  journal =      j-INTEGERS,
  volume =       "12",
  number =       "5",
  pages =        "811--840",
  year =         "2012",
  CODEN =        "INTEHN",
  DOI =          "https://doi.org/10.1515/integers-2012-0007",
  ISSN =         "1867-0652 (print), 1867-0660 (electronic)",
  MRclass =      "11A63 (11A25 11J72 11Y60)",
  MRnumber =     "2988549",
  MRreviewer =   "Jeffrey O. Shallit",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Integers",
  journal-URL =  "http://www.degruyter.com/view/j/integ",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Jiang:2012:BBB
author: Jianlin Jiang and Xiaoming Yuan
title: A Barzilai--Borwein-based heuristic algorithm for locating multiple facilities with regional demand
journal: j-COMP-OPTIM-APPL
volume: 51
number: 3
pages: 1275--1295
year: 2012
CODEN: CPPPEF
DOI: https://doi.org/10.1007/s10589-010-9392-9
ISSN: 0926-6003 (print), 1573-2894 (electronic) OR 09266003 (print), 15732894 (electronic)
ISSNL: 0926-6003 OR 09266003
MRclass: 90B85
MRnumber: 2891938
MRreviewer: Jack Brimberg
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: Computational Optimization and Applications. An International Journal
acknowledgement: ack-nhfb
journalURL: http://link.springer.com/journal/10589
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Jianlin Jiang and Xiaoming Yuan
ORCID: Borwein, Jonathan/0000-0002-1263-0646
rawtitle:
A {Barzilai--Borwein}-based heuristic algorithm for locating multiple facilities with regional demand

entry:
@Article{Jiang:2012:BBB,
  author =       "Jianlin Jiang and Xiaoming Yuan",
  title =        "A {Barzilai--Borwein}-based heuristic algorithm for
                 locating multiple facilities with regional demand",
  journal =      j-COMP-OPTIM-APPL,
  volume =       "51",
  number =       "3",
  pages =        "1275--1295",
  year =         "2012",
  CODEN =        "CPPPEF",
  DOI =          "https://doi.org/10.1007/s10589-010-9392-9",
  ISSN =         "0926-6003 (print), 1573-2894 (electronic)",
  ISSN-L =       "0926-6003",
  MRclass =      "90B85",
  MRnumber =     "2891938",
  MRreviewer =   "Jack Brimberg",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Computational Optimization and Applications. An
                 International Journal",
  journal-URL =  "http://link.springer.com/journal/10589",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Miller:2012:MBD
author: Harry I. Miller and Leila Miller-Van Wieren
title: More on the Borwein--Ditor theorem
journal: Sarajevo J. Math.
volume: 8(21)
number: 2
pages: 367--369
year: 2012
DOI: https://doi.org/10.5644/SJM.08.2.15
ISSN: 1840-0655 (print), 2233-1964 (electronic) OR 18400655 (print), 22331964 (electronic)
ISSNL: 1840-0655 OR 18400655
MRclass: 40D25 (28A12)
MRnumber: 3057893
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: Sarajevo Journal of Mathematics
acknowledgement: ack-nhfb
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Harry I. Miller and Leila Miller-Van Wieren
rawtitle: More on the {Borwein--Ditor} theorem
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Miller:2012:MBD,
  author =       "Harry I. Miller and Leila Miller-Van Wieren",
  title =        "More on the {Borwein--Ditor} theorem",
  journal =      "Sarajevo J. Math.",
  volume =       "8(21)",
  number =       "2",
  pages =        "367--369",
  year =         "2012",
  DOI =          "https://doi.org/10.5644/SJM.08.2.15",
  ISSN =         "1840-0655 (print), 2233-1964 (electronic)",
  ISSN-L =       "1840-0655",
  MRclass =      "40D25 (28A12)",
  MRnumber =     "3057893",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Sarajevo Journal of Mathematics",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Xia:2012:ESI
author: Ernest X. W. Xia and Olivia X. M. Yao
title: Eisenstein series identities involving the Borweins' cubic theta functions
journal: j-J-APPL-MATH
volume: 2012
pages: 181264
year: 2012
DOI: https://doi.org/10.1155/2012/181264
ISSN: 1110-757X (print), 1687-0042 (electronic) OR 1110757X (print), 16870042 (electronic)
ISSNL: 1110-757X OR 1110757X
MRclass: 11F27
MRnumber: 2979437
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
URL: http://www.hindawi.com/journals/jam/2012/181264/
fjournal: Journal of Applied Mathematics
acknowledgement: ack-nhfb
journalURL: http://www.hindawi.com/journals/jam/
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Ernest X. W. Xia and Olivia X. M. Yao
rawtitle: {Eisenstein} series identities involving the {Borweins}' cubic theta functions
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Xia:2012:ESI,
  author =       "Ernest X. W. Xia and Olivia X. M. Yao",
  title =        "{Eisenstein} series identities involving the
                 {Borweins}' cubic theta functions",
  journal =      j-J-APPL-MATH,
  volume =       "2012",
  pages =        "181264",
  year =         "2012",
  DOI =          "https://doi.org/10.1155/2012/181264",
  ISSN =         "1110-757X (print), 1687-0042 (electronic)",
  ISSN-L =       "1110-757X",
  MRclass =      "11F27",
  MRnumber =     "2979437",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://www.hindawi.com/journals/jam/2012/181264/",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Applied Mathematics",
  journal-URL =  "http://www.hindawi.com/journals/jam/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  pagecount =    "14",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Xiao:2012:MCG
author: Yunhai Xiao and Huina Song and Zhiguo Wang
journal: j-J-COMPUT-APPL-MATH
volume: 236
number: 13
pages: 3101--3110
year: 2012
CODEN: JCAMDI
DOI: https://doi.org/10.1016/j.cam.2012.01.032
ISSN: 0377-0427 (print), 1879-1778 (electronic) OR 03770427 (print), 18791778 (electronic)
ISSNL: 0377-0427 OR 03770427
MRclass: 90C52 (65K10)
MRnumber: 2912677
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
URL: http://www.sciencedirect.com/science/article/pii/S037704271200043X
fjournal: Journal of Computational and Applied Mathematics
keywords: Barzilai Borwein steplength; CG_DESCENT; Conjugate gradient method; CUTEr library; Wolfe condition
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/03770427
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Yunhai Xiao and Huina Song and Zhiguo Wang
ORCID: Borwein, Jonathan/0000-0002-1263-0646
title:
A modified conjugate gradient algorithm with cyclic Barzilai--Borwein steplength for unconstrained optimization

abstract:
For solving large-scale unconstrained minimization problems, the nonlinear conjugate gradient method is welcome due to its simplicity, low storage, efficiency and nice convergence properties. Among all the methods in the framework, the conjugate gradient descent algorithm CG_DESCENT is very popular, in which the generated directions descend automatically, and this nice property is independent of any line search used. In this paper, we generalize CG_DESCENT with two Barzilai Borwein steplength reused cyclically. We show that the resulting algorithm owns attractive sufficient descent property and converges globally under some mild conditions. We test the proposed algorithm by using a large set of unconstrained problems with high dimensions in CUTEr library. The numerical comparisons with the state-of-the-art algorithm CG_DESCENT illustrate that the proposed method is effective, competitive, and promising.

rawabstract:
For solving large-scale unconstrained minimization problems, the nonlinear conjugate gradient method is welcome due to its simplicity, low storage, efficiency and nice convergence properties. Among all the methods in the framework, the conjugate gradient descent algorithm CG\_DESCENT is very popular, in which the generated directions descend automatically, and this nice property is independent of any line search used. In this paper, we generalize CG\_DESCENT with two Barzilai Borwein steplength reused cyclically. We show that the resulting algorithm owns attractive sufficient descent property and converges globally under some mild conditions. We test the proposed algorithm by using a large set of unconstrained problems with high dimensions in CUTEr library. The numerical comparisons with the state-of-the-art algorithm CG\_DESCENT illustrate that the proposed method is effective, competitive, and promising.

rawtitle:
A modified conjugate gradient algorithm with cyclic {Barzilai--Borwein} steplength for unconstrained optimization

entry:
@Article{Xiao:2012:MCG,
  author =       "Yunhai Xiao and Huina Song and Zhiguo Wang",
  title =        "A modified conjugate gradient algorithm with cyclic
                 {Barzilai--Borwein} steplength for unconstrained
                 optimization",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "236",
  number =       "13",
  pages =        "3101--3110",
  year =         "2012",
  CODEN =        "JCAMDI",
  DOI =          "https://doi.org/10.1016/j.cam.2012.01.032",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  MRclass =      "90C52 (65K10)",
  MRnumber =     "2912677",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S037704271200043X",
  abstract =     "For solving large-scale unconstrained minimization
                 problems, the nonlinear conjugate gradient method is
                 welcome due to its simplicity, low storage, efficiency
                 and nice convergence properties. Among all the methods
                 in the framework, the conjugate gradient descent
                 algorithm CG\_DESCENT is very popular, in which the
                 generated directions descend automatically, and this
                 nice property is independent of any line search used.
                 In this paper, we generalize CG\_DESCENT with two
                 Barzilai Borwein steplength reused cyclically. We show
                 that the resulting algorithm owns attractive sufficient
                 descent property and converges globally under some mild
                 conditions. We test the proposed algorithm by using a
                 large set of unconstrained problems with high
                 dimensions in CUTEr library. The numerical comparisons
                 with the state-of-the-art algorithm CG\_DESCENT
                 illustrate that the proposed method is effective,
                 competitive, and promising.",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
  keywords =     "Barzilai Borwein steplength; CG\_DESCENT; Conjugate
                 gradient method; CUTEr library; Wolfe condition",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Yuan:2012:BBG
author: Gonglin Yuan and Zengxin Wei
journal: Math. Model. Anal.
volume: 17
number: 2
pages: 203--216
year: 2012
DOI: https://doi.org/10.3846/13926292.2012.661375
ISSN: 1392-6292 (print), 1648-3510 (electronic) OR 13926292 (print), 16483510 (electronic)
ISSNL: 1392-6292 OR 13926292
MRclass: 90C25 (49M37 65K05)
MRnumber: 2904364
MRreviewer: Yves Lucet
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: Mathematical Modelling and Analysis
acknowledgement: ack-nhfb
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Gonglin Yuan and Zengxin Wei
ORCID: Borwein, Jonathan/0000-0002-1263-0646
title:
The Barzilai and Borwein gradient method with nonmonotone line search for nonsmooth convex optimization problems

rawtitle:
The {Barzilai} and {Borwein} gradient method with nonmonotone line search for nonsmooth convex optimization problems

entry:
@Article{Yuan:2012:BBG,
  author =       "Gonglin Yuan and Zengxin Wei",
  title =        "The {Barzilai} and {Borwein} gradient method with
                 nonmonotone line search for nonsmooth convex
                 optimization problems",
  journal =      "Math. Model. Anal.",
  volume =       "17",
  number =       "2",
  pages =        "203--216",
  year =         "2012",
  DOI =          "https://doi.org/10.3846/13926292.2012.661375",
  ISSN =         "1392-6292 (print), 1648-3510 (electronic)",
  ISSN-L =       "1392-6292",
  MRclass =      "90C25 (49M37 65K05)",
  MRnumber =     "2904364",
  MRreviewer =   "Yves Lucet",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematical Modelling and Analysis",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Zhang:2012:BTF
author: Wenlong Zhang and He-Shan Song
title: BBP-type formulae modulo $5$
journal: j-UTIL-MATH
volume: 89
pages: 107--112
year: 2012
CODEN: UTMADA
ISSN: 0315-3681 OR 03153681
MRclass: 40C10
MRnumber: 3014639
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: Utilitas Mathematica
acknowledgement: ack-nhfb
journalURL: http://bkocay.cs.umanitoba.ca/utilitas/index.html
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Wenlong Zhang and He-Shan Song
rawtitle: {BBP}-type formulae modulo $5$
entry:
@Article{Zhang:2012:BTF,
  author =       "Wenlong Zhang and He-Shan Song",
  title =        "{BBP}-type formulae modulo $5$",
  journal =      j-UTIL-MATH,
  volume =       "89",
  pages =        "107--112",
  year =         "2012",
  CODEN =        "UTMADA",
  ISSN =         "0315-3681",
  MRclass =      "40C10",
  MRnumber =     "3014639",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Utilitas Mathematica",
  journal-URL =  "http://bkocay.cs.umanitoba.ca/utilitas/index.html",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Zhou:2012:EBP
author: Zhi Ang Zhou
journal: Math. Pract. Theory
volume: 42
number: 1
pages: 247--250
year: 2012
ISSN: 1000-0984 OR 10000984
MRclass: 49J53 (90C29)
MRnumber: 2977049
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: Mathematics in Practice and Theory. Shuxue de Shijian yu Renshi
acknowledgement: ack-nhfb
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Zhi Ang Zhou
ORCID: Borwein, Jonathan/0000-0002-1263-0646
title:
Equivalence of the Borwein properly efficient solution and the Benson properly efficient solution of a set-valued optimization problem

rawtitle:
Equivalence of the {Borwein} properly efficient solution and the {Benson} properly efficient solution of a set-valued optimization problem

entry:
@Article{Zhou:2012:EBP,
  author =       "Zhi Ang Zhou",
  title =        "Equivalence of the {Borwein} properly efficient
                 solution and the {Benson} properly efficient solution
                 of a set-valued optimization problem",
  journal =      "Math. Pract. Theory",
  volume =       "42",
  number =       "1",
  pages =        "247--250",
  year =         "2012",
  ISSN =         "1000-0984",
  MRclass =      "49J53 (90C29)",
  MRnumber =     "2977049",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics in Practice and Theory. Shuxue de Shijian
                 yu Renshi",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Adegoke:2013:FPD
author: Kunle Adegoke
title: Formal proofs of degree $5$ binary BBP-type formulas
journal: Functiones et Approximatio Commentarii Mathematici
volume: 48
number: part 1
pages: 19--27
year: 2013
DOI: https://doi.org/10.7169/facm/2013.48.1.2
ISBN: 83-232-2533-8 OR 8323225338
ISBN13: 978-83-232-2533-1 OR 9788323225331
ISSN: 0208-6573 (print), 2080-9433 (electronic) OR 02086573 (print), 20809433 (electronic)
ISSNL: 0208-6573 OR 02086573
MRclass: 11Y60
MRnumber: 3086957
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
acknowledgement: ack-nhfb
ajournal: Funct. Approx. Comment. Math.
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Kunle Adegoke
rawtitle: Formal proofs of degree $5$ binary {BBP}-type formulas
fjournal:
Uniwersytet im. Adama Mickiewicza w Poznaniu. WydzialMatematyki i Informatyki. Functiones et Approximatio Commentarii Mathematici

entry:
@Article{Adegoke:2013:FPD,
  author =       "Kunle Adegoke",
  title =        "Formal proofs of degree $5$ binary {BBP}-type
                 formulas",
  journal =      "Functiones et Approximatio Commentarii Mathematici",
  volume =       "48",
  number =       "part 1",
  pages =        "19--27",
  year =         "2013",
  DOI =          "https://doi.org/10.7169/facm/2013.48.1.2",
  ISBN =         "83-232-2533-8",
  ISBN-13 =      "978-83-232-2533-1",
  ISSN =         "0208-6573 (print), 2080-9433 (electronic)",
  ISSN-L =       "0208-6573",
  MRclass =      "11Y60",
  MRnumber =     "3086957",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Funct. Approx. Comment. Math.",
  fjournal =     "Uniwersytet im. Adama Mickiewicza w Poznaniu.
                 Wydzia\l\ Matematyki i Informatyki. Functiones et
                 Approximatio Commentarii Mathematici",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Adly:2013:NMS
author: Samir Adly and Hadia Rammal
title: A new method for solving Pareto eigenvalue complementarity problems
journal: j-COMP-OPTIM-APPL
volume: 55
number: 3
pages: 703--731
month: jul
monthnumber: 7
year: 2013
CODEN: CPPPEF
DOI: https://doi.org/10.1007/s10589-013-9534-y
ISSN: 0926-6003 (print), 1573-2894 (electronic) OR 09266003 (print), 15732894 (electronic)
ISSNL: 0926-6003 OR 09266003
bibdate: Wed May 2 09:56:02 2018
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2018.05.02 09:56:02 ???
note: Dedicated to Jonathan Borwein in honor of his 60th birthday.
URL: http://link.springer.com/article/10.1007/s10589-013-9534-y
fjournal: Computational optimization and applications
acknowledgement: ack-nhfb
journalURL: http://link.springer.com/journal/10589
onlinedate: 5 February 2013
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Samir Adly and Hadia Rammal
rawnote: Dedicated to Jonathan Borwein in honor of his 60th birthday.
rawtitle: A new method for solving {Pareto} eigenvalue complementarity problems
abstract:
In this paper, we introduce a new method, called the Lattice Projection Method (LPM), for solving eigenvalue complementarity problems. The original problem is reformulated to find the roots of a nonsmooth function. A semismooth Newton type method is then applied to approximate the eigenvalues and eigenvectors of the complementarity problems. The LPM is compared to SNMmin and SNMFB, two methods widely discussed in the literature for solving nonlinear complementarity problems, by using the performance profiles as a comparing tool (Dolan, More in Math. Program. 91:201--213, 2002). The performance measures, used to analyze the three solvers on a set of matrices mostly taken from the Matrix Market (Boisvert et al. in The quality of numerical software: assessment and enhancement, pp. 125--137, 1997), are computing time, number of iterations, number of failures and maximum number of solutions found by each solver. The numerical experiments highlight the efficiency of the LPM and show that it is a promising method for solving eigenvalue complementarity problems. Finally, Pareto bi-eigenvalue complementarity problems were solved numerically as an application to confirm the efficiency of our method.

remark:
At the memorial site, url http://jonborwein.org/2016/09/you-re-not-where-you-were-but-you-re-evrywhere-we-are/, Samir Adly writes about the origins of this paper, and says that Jon deserved to be a co-author of it.

rawabstract:
In this paper, we introduce a new method, called the Lattice Projection Method (LPM), for solving eigenvalue complementarity problems. The original problem is reformulated to find the roots of a nonsmooth function. A semismooth Newton type method is then applied to approximate the eigenvalues and eigenvectors of the complementarity problems. The LPM is compared to SNMmin and SNMFB, two methods widely discussed in the literature for solving nonlinear complementarity problems, by using the performance profiles as a comparing tool (Dolan, Mor{\'e} in Math. Program. 91:201--213, 2002). The performance measures, used to analyze the three solvers on a set of matrices mostly taken from the Matrix Market (Boisvert et al. in The quality of numerical software: assessment and enhancement, pp. 125--137, 1997), are computing time, number of iterations, number of failures and maximum number of solutions found by each solver. The numerical experiments highlight the efficiency of the LPM and show that it is a promising method for solving eigenvalue complementarity problems. Finally, Pareto bi-eigenvalue complementarity problems were solved numerically as an application to confirm the efficiency of our method.

entry:
@Article{Adly:2013:NMS,
  author =       "Samir Adly and Hadia Rammal",
  title =        "A new method for solving {Pareto} eigenvalue
                 complementarity problems",
  journal =      j-COMP-OPTIM-APPL,
  volume =       "55",
  number =       "3",
  pages =        "703--731",
  month =        jul,
  year =         "2013",
  CODEN =        "CPPPEF",
  DOI =          "https://doi.org/10.1007/s10589-013-9534-y",
  ISSN =         "0926-6003 (print), 1573-2894 (electronic)",
  ISSN-L =       "0926-6003",
  bibdate =      "Wed May 2 09:56:02 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Dedicated to Jonathan Borwein in honor of his 60th
                 birthday.",
  URL =          "http://link.springer.com/article/10.1007/s10589-013-9534-y",
  abstract =     "In this paper, we introduce a new method, called the
                 Lattice Projection Method (LPM), for solving eigenvalue
                 complementarity problems. The original problem is
                 reformulated to find the roots of a nonsmooth function.
                 A semismooth Newton type method is then applied to
                 approximate the eigenvalues and eigenvectors of the
                 complementarity problems. The LPM is compared to SNMmin
                 and SNMFB, two methods widely discussed in the
                 literature for solving nonlinear complementarity
                 problems, by using the performance profiles as a
                 comparing tool (Dolan, Mor{\'e} in Math. Program.
                 91:201--213, 2002). The performance measures, used to
                 analyze the three solvers on a set of matrices mostly
                 taken from the Matrix Market (Boisvert et al. in The
                 quality of numerical software: assessment and
                 enhancement, pp. 125--137, 1997), are computing time,
                 number of iterations, number of failures and maximum
                 number of solutions found by each solver. The numerical
                 experiments highlight the efficiency of the LPM and
                 show that it is a promising method for solving
                 eigenvalue complementarity problems. Finally, Pareto
                 bi-eigenvalue complementarity problems were solved
                 numerically as an application to confirm the efficiency
                 of our method.",
  acknowledgement = ack-nhfb,
  fjournal =     "Computational optimization and applications",
  journal-URL =  "http://link.springer.com/journal/10589",
  onlinedate =   "5 February 2013",
  remark =       "At the memorial site,
                 \url{http://jonborwein.org/2016/09/you-re-not-where-you-were-but-you-re-evrywhere-we-are/},
                 Samir Adly writes about the origins of this paper, and
                 says that Jon deserved to be a co-author of it.",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Beliakov:2013:EIBa
author: Gleb Beliakov and Michael Johnstone and Doug Creighton and Tim Wilkin
journal: j-COMPUTING
volume: 95
number: 4
pages: 309--326
month: apr
monthnumber: 4
year: 2013
CODEN: CMPTA2
DOI: https://doi.org/10.1007/s00607-012-0234-8
ISSN: 0010-485X (print), 1436-5057 (electronic) OR 0010485X (print), 14365057 (electronic)
ISSNL: 0010-485X OR 0010485X
MRclass: 65C10 (11K45 65Y05 65Y10 68W10)
MRnumber: 3037592
MRreviewer: S. Hitotumatu
bibdate: Thu Aug 11 11:22:39 2016
bibtimestamp: 2016.08.11 11:22:39 ???
note: See also cite Beliakov:2013:EIBb.
URL: http://link.springer.com/article/10.1007/s00607-012-0234-8
fjournal: Computing
keywords: $alpha _2,3$; normal number
acknowledgement: ack-nhfb
journalURL: http://link.springer.com/journal/607
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Gleb Beliakov and Michael Johnstone and Doug Creighton and Tim Wilkin
rawnote: See also \cite{Beliakov:2013:EIBb}.
ORCID: Borwein, Jonathan/0000-0002-1263-0646
title:
An efficient implementation of Bailey and Borwein's algorithm for parallel random number generation on graphics processing units

bibsource:
http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0010-485X&volume=95&issue=4; https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; https://www.math.utah.edu/pub/tex/bib/compphyscomm2010.bib; https://www.math.utah.edu/pub/tex/bib/computing.bib; https://www.math.utah.edu/pub/tex/bib/pi.bib; https://www.math.utah.edu/pub/tex/bib/prng.bib

rawtitle:
An efficient implementation of {Bailey} and {Borwein}'s algorithm for parallel random number generation on graphics processing units

entry:
@Article{Beliakov:2013:EIBa,
  author =       "Gleb Beliakov and Michael Johnstone and Doug Creighton
                 and Tim Wilkin",
  title =        "An efficient implementation of {Bailey} and
                 {Borwein}'s algorithm for parallel random number
                 generation on graphics processing units",
  journal =      j-COMPUTING,
  volume =       "95",
  number =       "4",
  pages =        "309--326",
  month =        apr,
  year =         "2013",
  CODEN =        "CMPTA2",
  DOI =          "https://doi.org/10.1007/s00607-012-0234-8",
  ISSN =         "0010-485X (print), 1436-5057 (electronic)",
  ISSN-L =       "0010-485X",
  MRclass =      "65C10 (11K45 65Y05 65Y10 68W10)",
  MRnumber =     "3037592",
  MRreviewer =   "S. Hitotumatu",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0010-485X&volume=95&issue=4;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/compphyscomm2010.bib;
                 https://www.math.utah.edu/pub/tex/bib/computing.bib;
                 https://www.math.utah.edu/pub/tex/bib/pi.bib;
                 https://www.math.utah.edu/pub/tex/bib/prng.bib",
  note =         "See also \cite{Beliakov:2013:EIBb}.",
  URL =          "http://link.springer.com/article/10.1007/s00607-012-0234-8",
  acknowledgement = ack-nhfb,
  fjournal =     "Computing",
  journal-URL =  "http://link.springer.com/journal/607",
  keywords =     "$\alpha_{2,3}$; normal number",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Beliakov:2013:EIBb
author: G. Beliakov and D. Creighton and M. Johnstone and T. Wilkin
journal: j-COMP-PHYS-COMM
volume: 184
number: 8
pages: 1999--2004
year: 2013
CODEN: CPHCBZ
DOI: https://doi.org/10.1016/j.cpc.2013.03.019
ISSN: 0010-4655 (print), 1879-2944 (electronic) OR 00104655 (print), 18792944 (electronic)
ISSNL: 0010-4655 OR 00104655
MRclass: 65C10
MRnumber: 3068151
bibdate: Thu Aug 11 11:22:39 2016
bibtimestamp: 2016.08.11 11:22:39 ???
URL: http://www.sciencedirect.com/science/article/pii/S0010465513001276
fjournal: Computer Physics Communications
keywords: Linear Congruential Generator; Normal numbers; Random number generation
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00104655
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: G. Beliakov and D. Creighton and M. Johnstone and T. Wilkin
ORCID: Borwein, Jonathan/0000-0002-1263-0646
title:
Efficient implementation of Bailey and Borwein pseudo-random number generator based on normal numbers

bibsource:
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; https://www.math.utah.edu/pub/tex/bib/prng.bib

abstract:
This paper describes an implementation of a Linear Congruential Generator (LCG) based on the binary representation of the normal number $ alpha _2, 3 $, and of a combined generator based on that LCG. The base LCG with the modulus $ 3^33 $ provides a quality sequence with the period $ 3.7 times 10^15 $, which passes all but two statistical tests from BigCrush test suite. We improved on the original implementation by adapting Barrett's modular reduction method, which resulted in four-fold increase in efficiency. The combined generator has the period of $ 10^23 $ and passes all tests from BigCrush suite.

rawabstract:
This paper describes an implementation of a Linear Congruential Generator (LCG) based on the binary representation of the normal number $ \alpha_{2, 3} $, and of a combined generator based on that LCG. The base LCG with the modulus $ 3^{33} $ provides a quality sequence with the period $ 3.7 \times 10^{15} $, which passes all but two statistical tests from BigCrush test suite. We improved on the original implementation by adapting Barrett's modular reduction method, which resulted in four-fold increase in efficiency. The combined generator has the period of $ 10^{23} $ and passes all tests from BigCrush suite.

rawtitle:
Efficient implementation of {Bailey} and {Borwein} pseudo-random number generator based on normal numbers

entry:
@Article{Beliakov:2013:EIBb,
  author =       "G. Beliakov and D. Creighton and M. Johnstone and T.
                 Wilkin",
  title =        "Efficient implementation of {Bailey} and {Borwein}
                 pseudo-random number generator based on normal
                 numbers",
  journal =      j-COMP-PHYS-COMM,
  volume =       "184",
  number =       "8",
  pages =        "1999--2004",
  year =         "2013",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/j.cpc.2013.03.019",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  MRclass =      "65C10",
  MRnumber =     "3068151",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/prng.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0010465513001276",
  abstract =     "This paper describes an implementation of a Linear
                 Congruential Generator (LCG) based on the binary
                 representation of the normal number $ \alpha_{2, 3} $,
                 and of a combined generator based on that LCG. The base
                 LCG with the modulus $ 3^{33} $ provides a quality
                 sequence with the period $ 3.7 \times 10^{15} $, which
                 passes all but two statistical tests from BigCrush test
                 suite. We improved on the original implementation by
                 adapting Barrett's modular reduction method, which
                 resulted in four-fold increase in efficiency. The
                 combined generator has the period of $ 10^{23} $ and
                 passes all tests from BigCrush suite.",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
  keywords =     "Linear Congruential Generator; Normal numbers; Random
                 number generation",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  programsummary = "Program title: BCNRandom Catalogue identifier:
                 AEPG\_v1\_0. Program summary URL:
                 \url{http://cpc.cs.qub.ac.uk/summaries/AEPG_v1_0.html}.
                 Program obtainable from: CPC Program Library, Queen's
                 University, Belfast, N. Ireland Licensing provisions:
                 Standard CPC licence,
                 http://cpc.cs.qub.ac.uk/licence/licence.html No. of
                 lines in distributed program, including test data,
                 etc.: 1201 No. of bytes in distributed program,
                 including test data, etc.: 13715 Distribution format:
                 tar.gz Programming language: C. Computer: IBM PC;
                 MacBook Pro. Operating system: Windows 7, Linux, Unix,
                 OS X. RAM: 512KB Classification: 4.13. Nature of
                 problem: This is a fast pseudorandom number generator
                 based on normal numbers, with long period and good
                 statistical properties. It passes all 106 BigCrush
                 statistical tests and is faster than C standard library
                 rand generator. Suitable for parallel execution by
                 multiple threads and/or processes because of skip ahead
                 property. Solution method: Linear Congruential
                 Generators with specially chosen parameters are used. A
                 customized fast modular reduction is employed. Running
                 time: Generation rate is 100--200 million numbers per
                 second.",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Jiang:2013:FBB
author: Bo Jiang and Yu-Hong Dai
title: Feasible Barzilai--Borwein-like methods for extreme symmetric eigenvalue problems
journal: j-OPTIM-METHODS-SOFTW
volume: 28
number: 4
pages: 756--784
year: 2013
DOI: https://doi.org/10.1080/10556788.2012.656115
ISSN: 1026-7670 (print), 1055-6788 (electronic) OR 10267670 (print), 10556788 (electronic)
ISSNL: 1026-7670 OR 10267670
MRclass: 90C20
MRnumber: 3175442
MRreviewer: Laura Martein
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: Optimization Methods & Software
acknowledgement: ack-nhfb
journalURL: http://www.tandfonline.com/loi/goms20
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Bo Jiang and Yu-Hong Dai
rawtitle: Feasible {Barzilai--Borwein}-like methods for extreme symmetric eigenvalue problems
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Jiang:2013:FBB,
  author =       "Bo Jiang and Yu-Hong Dai",
  title =        "Feasible {Barzilai--Borwein}-like methods for extreme
                 symmetric eigenvalue problems",
  journal =      j-OPTIM-METHODS-SOFTW,
  volume =       "28",
  number =       "4",
  pages =        "756--784",
  year =         "2013",
  DOI =          "https://doi.org/10.1080/10556788.2012.656115",
  ISSN =         "1026-7670 (print), 1055-6788 (electronic)",
  ISSN-L =       "1026-7670",
  MRclass =      "90C20",
  MRnumber =     "3175442",
  MRreviewer =   "Laura Martein",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Optimization Methods \& Software",
  journal-URL =  "http://www.tandfonline.com/loi/goms20",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Liu:2013:MSB
author: Hongwei Liu and Xiangli Li
title: Modified subspace Barzilai--Borwein gradient method for non-negative matrix factorization
journal: j-COMP-OPTIM-APPL
volume: 55
number: 1
pages: 173--196
year: 2013
CODEN: CPPPEF
DOI: https://doi.org/10.1007/s10589-012-9507-6
ISSN: 0926-6003 (print), 1573-2894 (electronic) OR 09266003 (print), 15732894 (electronic)
ISSNL: 0926-6003 OR 09266003
MRclass: 65F05 (15A23)
MRnumber: 3041752
MRreviewer: Jos{\'e}-Javier Mart{\'{\i}}nez
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: Computational Optimization and Applications. An International Journal
acknowledgement: ack-nhfb
journalURL: http://link.springer.com/journal/10589
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Hongwei Liu and Xiangli Li
rawtitle: Modified subspace {Barzilai--Borwein} gradient method for non-negative matrix factorization
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Liu:2013:MSB,
  author =       "Hongwei Liu and Xiangli Li",
  title =        "Modified subspace {Barzilai--Borwein} gradient method
                 for non-negative matrix factorization",
  journal =      j-COMP-OPTIM-APPL,
  volume =       "55",
  number =       "1",
  pages =        "173--196",
  year =         "2013",
  CODEN =        "CPPPEF",
  DOI =          "https://doi.org/10.1007/s10589-012-9507-6",
  ISSN =         "0926-6003 (print), 1573-2894 (electronic)",
  ISSN-L =       "0926-6003",
  MRclass =      "65F05 (15A23)",
  MRnumber =     "3041752",
  MRreviewer =   "Jos{\'e}-Javier Mart{\'{\i}}nez",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Computational Optimization and Applications. An
                 International Journal",
  journal-URL =  "http://link.springer.com/journal/10589",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: incollection
filename: borwein-jonathan-m.bib
label: Pospisil:2013:OAB
author: Lukas Pospisil
booktitle: Programs and algorithms of numerical mathematics 16
title: An optimal algorithm with Barzilai--Borwein steplength and superrelaxation for QPQC problem
publisher: Acad. Sci. Czech Repub. Inst. Math., Prague
pages: 155--161
year: 2013
MRclass: 74M15 (90C90)
MRnumber: 3203815
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
acknowledgement: ack-nhfb
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Luk{\'a}{\v{s}} Posp{\'{\i}}{\v{s}}il
rawbooktitle: Programs and algorithms of numerical mathematics 16
rawtitle: An optimal algorithm with {Barzilai--Borwein} steplength and superrelaxation for {QPQC} problem
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@InCollection{Pospisil:2013:OAB,
  author =       "Luk{\'a}{\v{s}} Posp{\'{\i}}{\v{s}}il",
  booktitle =    "Programs and algorithms of numerical mathematics 16",
  title =        "An optimal algorithm with {Barzilai--Borwein}
                 steplength and superrelaxation for {QPQC} problem",
  publisher =    "Acad. Sci. Czech Repub. Inst. Math., Prague",
  pages =        "155--161",
  year =         "2013",
  MRclass =      "74M15 (90C90)",
  MRnumber =     "3203815",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Zhang:2013:NFB
author: Wenlong Zhang
title: New formulae of BBP-type with different moduli
journal: j-J-MATH-ANAL-APPL
volume: 398
number: 1
pages: 46--60
year: 2013
CODEN: JMANAK
DOI: https://doi.org/10.1016/j.jmaa.2012.08.007
ISSN: 0022-247X (print), 1096-0813 (electronic) OR 0022247X (print), 10960813 (electronic)
ISSNL: 0022-247X OR 0022247X
MRclass: 11Y60
MRnumber: 2984314
MRreviewer: Samuel S. Wagstaff, Jr.
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: Journal of Mathematical Analysis and Applications
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/0022247X
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Wenlong Zhang
rawtitle: New formulae of {BBP}-type with different moduli
entry:
@Article{Zhang:2013:NFB,
  author =       "Wenlong Zhang",
  title =        "New formulae of {BBP}-type with different moduli",
  journal =      j-J-MATH-ANAL-APPL,
  volume =       "398",
  number =       "1",
  pages =        "46--60",
  year =         "2013",
  CODEN =        "JMANAK",
  DOI =          "https://doi.org/10.1016/j.jmaa.2012.08.007",
  ISSN =         "0022-247X (print), 1096-0813 (electronic)",
  ISSN-L =       "0022-247X",
  MRclass =      "11Y60",
  MRnumber =     "2984314",
  MRreviewer =   "Samuel S. Wagstaff, Jr.",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Mathematical Analysis and Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/0022247X",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Adegoke:2014:GRF
author: Kunle Adegoke
title: The Golden Ratio, Fibonacci Numbers and BBP-Type Formulas
journal: j-FIB-QUART
volume: 52
number: 2
pages: 129--138
month: may
monthnumber: 5
year: 2014
CODEN: FIBQAU
ISSN: 0015-0517 OR 00150517
ISSNL: 0015-0517 OR 00150517
MRclass: 11B39 (11Y60)
MRnumber: 3214376
MRreviewer: Ovidiu Dumitru Bagdasar
bibdate: Thu Aug 11 11:22:39 2016
bibtimestamp: 2016.08.11 11:22:39 ???
URL: http://www.fq.math.ca/Abstracts/52-2/adegoke.pdf
fjournal: The Fibonacci Quarterly. Official Organ of the Fibonacci Association
acknowledgement: ack-nhfb
ajournal: Fib. Quart
journalURL: http://www.fq.math.ca/
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Kunle Adegoke
rawtitle: The {Golden Ratio}, {Fibonacci} Numbers and {BBP}-Type Formulas
bibsource:
http://www.fq.math.ca/52-2.html; https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; https://www.math.utah.edu/pub/tex/bib/fibquart.bib

entry:
@Article{Adegoke:2014:GRF,
  author =       "Kunle Adegoke",
  title =        "The {Golden Ratio}, {Fibonacci} Numbers and {BBP}-Type
                 Formulas",
  journal =      j-FIB-QUART,
  volume =       "52",
  number =       "2",
  pages =        "129--138",
  month =        may,
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  CODEN =        "FIBQAU",
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  MRreviewer =   "Ovidiu Dumitru Bagdasar",
  bibdate =      "Thu Aug 11 11:22:39 2016",
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                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
  URL =          "http://www.fq.math.ca/Abstracts/52-2/adegoke.pdf",
  acknowledgement = ack-nhfb,
  ajournal =     "Fib. Quart",
  fjournal =     "The Fibonacci Quarterly. Official Organ of the
                 Fibonacci Association",
  journal-URL =  "http://www.fq.math.ca/",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Adegoke:2014:NBB
author: Kunle Adegoke
title: A New Binary BBP-Type Formula for $ sqrt 5 log phi $
journal: j-FIB-QUART
volume: 52
number: 4
pages: 357--359
month: nov
monthnumber: 11
year: 2014
CODEN: FIBQAU
ISSN: 0015-0517 OR 00150517
ISSNL: 0015-0517 OR 00150517
MRclass: 11Y60
MRnumber: 3276062
bibdate: Thu Aug 11 11:22:39 2016
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: The Fibonacci Quarterly. The Official Journal of the Fibonacci Association
acknowledgement: ack-nhfb
ajournal: Fib. Quart
journalURL: http://www.fq.math.ca/
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Kunle Adegoke
rawtitle: A New Binary {BBP}-Type Formula for $ \sqrt {5} \log \phi $
bibsource:
http://www.fq.math.ca/52-4.html; https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; https://www.math.utah.edu/pub/tex/bib/fibquart.bib

URL:
http://www.fq.math.ca/Abstracts/52-4/adegoke.pdf; http://www.fq.math.ca/Papers/52-4/adegoke4282014.pdf

entry:
@Article{Adegoke:2014:NBB,
  author =       "Kunle Adegoke",
  title =        "A New Binary {BBP}-Type Formula for $ \sqrt {5} \log
                 \phi $",
  journal =      j-FIB-QUART,
  volume =       "52",
  number =       "4",
  pages =        "357--359",
  month =        nov,
  year =         "2014",
  CODEN =        "FIBQAU",
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  bibsource =    "http://www.fq.math.ca/52-4.html;
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  URL =          "http://www.fq.math.ca/Abstracts/52-4/adegoke.pdf;
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  acknowledgement = ack-nhfb,
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                 Fibonacci Association",
  journal-URL =  "http://www.fq.math.ca/",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Ganz:2014:DES
author: Reinhard E. Ganz
title: The Decimal Expansion of $ pi $ Is Not Statistically Random
journal: j-EXP-MATH
volume: 23
number: 2
pages: 99--104
year: 2014
DOI: https://doi.org/10.1080/10586458.2013.870504
ISSN: 1058-6458 (print), 1944-950X (electronic) OR 10586458 (print), 1944950X (electronic)
ISSNL: 1058-6458 OR 10586458
bibdate: Wed Sep 10 07:36:52 MDT 2014
bibtimestamp: 2014.09.10 07:36:52 MDT
fjournal: Experimental Mathematics
acknowledgement: ack-nhfb
journalURL: http://www.tandfonline.com/loi/uexm20
rawauthor: Reinhard E. Ganz
rawtitle: The Decimal Expansion of $ \pi $ Is Not Statistically Random
bibsource:
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; https://www.math.utah.edu/pub/tex/bib/expmath.bib; https://www.math.utah.edu/pub/tex/bib/pi.bib; http://www.tandfonline.com/toc/uexm20/23/2

note:
See the reproduction of results, and reanalysis, in cite Bailey:2016:RCS, that reveals a flaw in the statistical analysis in this paper: Ganz used only a single blocksize in sampling digits, and that blocksize produces anomalous statistics.

rawnote:
See the reproduction of results, and reanalysis, in \cite{Bailey:2016:RCS}, that reveals a flaw in the statistical analysis in this paper: Ganz used only a single blocksize in sampling digits, and that blocksize produces anomalous statistics.

entry:
@Article{Ganz:2014:DES,
  author =       "Reinhard E. Ganz",
  title =        "The Decimal Expansion of $ \pi $ Is Not Statistically
                 Random",
  journal =      j-EXP-MATH,
  volume =       "23",
  number =       "2",
  pages =        "99--104",
  year =         "2014",
  CODEN =        "????",
  DOI =          "https://doi.org/10.1080/10586458.2013.870504",
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  bibdate =      "Wed Sep 10 07:36:52 MDT 2014",
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                 https://www.math.utah.edu/pub/tex/bib/expmath.bib;
                 https://www.math.utah.edu/pub/tex/bib/pi.bib;
                 http://www.tandfonline.com/toc/uexm20/23/2",
  note =         "See the reproduction of results, and reanalysis, in
                 \cite{Bailey:2016:RCS}, that reveals a flaw in the
                 statistical analysis in this paper: Ganz used only a
                 single blocksize in sampling digits, and that blocksize
                 produces anomalous statistics.",
  acknowledgement = ack-nhfb,
  fjournal =     "Experimental Mathematics",
  journal-URL =  "http://www.tandfonline.com/loi/uexm20",
  remark-1 =     "From page 100, column 2: ``\ldots{} This resulted in a
                 test of third-order symbolic statistics, which the
                 decimal expansion of $\pi$ fails at a high level of
                 statistical significance.''",
  remark-2 =     "From page 104, column 1: ``Thus, the decimal expansion
                 of $\pi$ cannot considered the realization of a
                 sequence of iid random variables with uniform
                 distribution on $\{0, 1, \ldots{}, 9\}$.''",
  remark-3 =     "Graphs on page 103 of third-order statistics on the
                 first $10^{13}$ digits of $\pi$ have quite different
                 appearance before and after digit shuffling. The
                 statistics after the shuffle more nearly resemble a
                 normal distribution, whereas before, they are clearly
                 skewed.",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Howlett:2014:BRC
author: Phil Howlett
journal: j-AUSTRALIAN-MATH-SOC-GAZ
volume: 41
number: 3
pages: 173--177
month: jul
monthnumber: 7
year: 2014
ISSN: 0311-0729 (print), 1326-2297 (electronic) OR 03110729 (print), 13262297 (electronic)
ISSNL: 0311-0729 OR 03110729
bibdate: Tue Aug 23 11:59:05 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.23 11:59:05 ???
URL: http://www.austms.org.au/Publ/Gazette/2014/Jul14/BkRev.pdf
fjournal: Australian Mathematical Society Gazette
ZMnumber: 1329.00068
acknowledgement: ack-nhfb
ajournal: Aust. Math. Soc. Gaz.
journalURL: http://www.austms.org.au/gazette
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Phil Howlett
ORCID: Borwein, Jonathan/0000-0002-1263-0646; Howlett, Phil/0000-0003-2382-8137
title:
Book Review: booktitle Convex functions: Constructions, characterizations and counterexamples, by Jonathan M. Borwein and Jon D. Vanderwerff

rawtitle:
Book Review: {{\booktitle{Convex functions: Constructions, characterizations and counterexamples}}, by Jonathan M. Borwein and Jon D. Vanderwerff}

entry:
@Article{Howlett:2014:BRC,
  author =       "Phil Howlett",
  title =        "Book Review: {{\booktitle{Convex functions:
                 Constructions, characterizations and counterexamples}},
                 by Jonathan M. Borwein and Jon D. Vanderwerff}",
  journal =      j-AUSTRALIAN-MATH-SOC-GAZ,
  volume =       "41",
  number =       "3",
  pages =        "173--177",
  month =        jul,
  year =         "2014",
  ISSN =         "0311-0729 (print), 1326-2297 (electronic)",
  ISSN-L =       "0311-0729",
  bibdate =      "Tue Aug 23 11:59:05 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://www.austms.org.au/Publ/Gazette/2014/Jul14/BkRev.pdf",
  ZMnumber =     "1329.00068",
  acknowledgement = ack-nhfb,
  ajournal =     "Aust. Math. Soc. Gaz.",
  fjournal =     "Australian Mathematical Society Gazette",
  journal-URL =  "http://www.austms.org.au/gazette",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646; Howlett,
                 Phil/0000-0003-2382-8137",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Huang:2014:BBT
author: Yakui Huang and Hongwei Liu and Sha Zhou
title: A Barzilai--Borwein type method for stochastic linear complementarity problems
journal: j-NUMER-ALGORITHMS
volume: 67
number: 3
pages: 477--489
year: 2014
CODEN: NUALEG
DOI: https://doi.org/10.1007/s11075-013-9803-y
ISSN: 1017-1398 (print), 1572-9265 (electronic) OR 10171398 (print), 15729265 (electronic)
ISSNL: 1017-1398 OR 10171398
MRclass: 90C15 (90C33)
MRnumber: 3271398
MRreviewer: Jie Zhang
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: Numerical Algorithms
acknowledgement: ack-nhfb
journalURL: http://link.springer.com/journal/11075
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Yakui Huang and Hongwei Liu and Sha Zhou
rawtitle: A {Barzilai--Borwein} type method for stochastic linear complementarity problems
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Huang:2014:BBT,
  author =       "Yakui Huang and Hongwei Liu and Sha Zhou",
  title =        "A {Barzilai--Borwein} type method for stochastic
                 linear complementarity problems",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "67",
  number =       "3",
  pages =        "477--489",
  year =         "2014",
  CODEN =        "NUALEG",
  DOI =          "https://doi.org/10.1007/s11075-013-9803-y",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  MRclass =      "90C15 (90C33)",
  MRnumber =     "3271398",
  MRreviewer =   "Jie Zhang",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Li:2014:PBB
author: Xiang Li Li and Sha Zhou
title: Projected Barzilai--Borwein method for a class of stochastic linear complementarity problems
journal: Acta Math. Appl. Sin.
volume: 37
number: 2
pages: 278--285
year: 2014
ISSN: 0254-3079 OR 02543079
MRclass: 90C33 (90C15)
MRnumber: 3236826
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: Acta Mathematicae Applicatae Sinica. Yingyong Shuxue Xuebao
acknowledgement: ack-nhfb
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Xiang Li Li and Sha Zhou
rawtitle: Projected {Barzilai--Borwein} method for a class of stochastic linear complementarity problems
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Li:2014:PBB,
  author =       "Xiang Li Li and Sha Zhou",
  title =        "Projected {Barzilai--Borwein} method for a class of
                 stochastic linear complementarity problems",
  journal =      "Acta Math. Appl. Sin.",
  volume =       "37",
  number =       "2",
  pages =        "278--285",
  year =         "2014",
  ISSN =         "0254-3079",
  MRclass =      "90C33 (90C15)",
  MRnumber =     "3236826",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Acta Mathematicae Applicatae Sinica. Yingyong Shuxue
                 Xuebao",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Petrov:2014:BBM
author: Miroslav S. Petrov and Todor D. Todorov
title: Barzilai--Borwein method for a nonlocal elliptic problem
journal: Mat. Bilten
volume: 38
number: 2
pages: 23--30
year: 2014
ISSN: 0351-336X OR 0351336X
MRclass: 65N30 (35K55 49J20 65N12 92-08 92D25)
MRnumber: 3502414
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
acknowledgement: ack-nhfb
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Miroslav S. Petrov and Todor D. Todorov
rawtitle: {Barzilai--Borwein} method for a nonlocal elliptic problem
ORCID: Borwein, Jonathan/0000-0002-1263-0646
fjournal:
Matematichki Bilten. Bulletin Mathematique de la Societe des Mathematiciens de la Republique de Macedoine

entry:
@Article{Petrov:2014:BBM,
  author =       "Miroslav S. Petrov and Todor D. Todorov",
  title =        "{Barzilai--Borwein} method for a nonlocal elliptic
                 problem",
  journal =      "Mat. Bilten",
  volume =       "38",
  number =       "2",
  pages =        "23--30",
  year =         "2014",
  ISSN =         "0351-336X",
  MRclass =      "65N30 (35K55 49J20 65N12 92-08 92D25)",
  MRnumber =     "3502414",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Matematichki Bilten. Bulletin Math{\'e}matique de la
                 Soci{\'e}t{\'e} des Math{\'e}maticiens de la
                 R{\'e}publique de Mac{\'e}doine",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Qiu:2014:NAB
author: Yuanying Qiu and Jianlei Yan and Fanyong Xu
title: Nonmonotone adaptive Barzilai--Borwein gradient algorithm for compressed sensing
journal: j-ABSTR-APPL-ANAL
volume: 2014
pages: 410104
year: 2014
DOI: https://doi.org/10.1155/2014/410104
ISSN: 1085-3375 (print), 1687-0409 (electronic) OR 10853375 (print), 16870409 (electronic)
ISSNL: 1085-3375 OR 10853375
MRclass: 94A12 (90C53 90C90)
MRnumber: 3198186
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: Abstract and Applied Analysis
acknowledgement: ack-nhfb
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Yuanying Qiu and Jianlei Yan and Fanyong Xu
rawtitle: Nonmonotone adaptive {Barzilai--Borwein} gradient algorithm for compressed sensing
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Qiu:2014:NAB,
  author =       "Yuanying Qiu and Jianlei Yan and Fanyong Xu",
  title =        "Nonmonotone adaptive {Barzilai--Borwein} gradient
                 algorithm for compressed sensing",
  journal =      j-ABSTR-APPL-ANAL,
  volume =       "2014",
  pages =        "410104",
  year =         "2014",
  DOI =          "https://doi.org/10.1155/2014/410104",
  ISSN =         "1085-3375 (print), 1687-0409 (electronic)",
  ISSN-L =       "1085-3375",
  MRclass =      "94A12 (90C53 90C90)",
  MRnumber =     "3198186",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Abstract and Applied Analysis",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  pagecount =    "6",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Sendov:2014:SBA
author: Hristo S. Sendov and Ricardas Zitikis
journal: j-J-OPT-THEORY-APPL
volume: 160
number: 1
pages: 67--89
year: 2014
CODEN: JOTABN
DOI: https://doi.org/10.1007/s10957-013-0345-1
ISSN: 0022-3239 (print), 1573-2878 (electronic) OR 00223239 (print), 15732878 (electronic)
ISSNL: 0022-3239 OR 00223239
MRclass: 26B25
MRnumber: 3149118
MRreviewer: Giovanni Alberti
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: Journal of Optimization Theory and Applications
acknowledgement: ack-nhfb
journalURL: http://link.springer.com/journal/volumesAndIssues/10957
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Hristo S. Sendov and Ri{\v{c}}ardas Zitikis
ORCID: Borwein, Jonathan/0000-0002-1263-0646
title:
The shape of the Borwein--Affleck--Girgensohn function generated by completely monotone and Bernstein functions

rawtitle:
The shape of the {Borwein--Affleck--Girgensohn} function generated by completely monotone and {Bernstein} functions

entry:
@Article{Sendov:2014:SBA,
  author =       "Hristo S. Sendov and Ri{\v{c}}ardas Zitikis",
  title =        "The shape of the {Borwein--Affleck--Girgensohn}
                 function generated by completely monotone and
                 {Bernstein} functions",
  journal =      j-J-OPT-THEORY-APPL,
  volume =       "160",
  number =       "1",
  pages =        "67--89",
  year =         "2014",
  CODEN =        "JOTABN",
  DOI =          "https://doi.org/10.1007/s10957-013-0345-1",
  ISSN =         "0022-3239 (print), 1573-2878 (electronic)",
  ISSN-L =       "0022-3239",
  MRclass =      "26B25",
  MRnumber =     "3149118",
  MRreviewer =   "Giovanni Alberti",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Optimization Theory and Applications",
  journal-URL =  "http://link.springer.com/journal/volumesAndIssues/10957",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Virosztek:2014:PBB
author: Daniel Virosztek
title: On a problem of Bauschke and Borwein
journal: arxiv.org
pages: ??--??
day: 5
month: dec
monthnumber: 12
year: 2014
bibdate: Thu Aug 11 14:23:45 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 14:23:45 ???
URL: http://arxiv.org/abs/1412.2602
acknowledgement: ack-nhfb
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: D{\'a}niel Virosztek
rawtitle: On a problem of {Bauschke} and {Borwein}
ORCID: Borwein, Jonathan/0000-0002-1263-0646
abstract:
Consider a differentiable convex function $ f colon R n supset rm dom f to R $. The induced spectral function $F$ is given by $ F = f cdot lambda $, where $ lambda colon M^sa_n to R^n$ is the eigenvalue map. Let us denote by $ D_f$ and $ D_F$ the Bregman distances associated with $f$ and $F$, respectively. In the paper ``Joint and separate convexity of the Bregman distance'' written by H. Bauschke and J. Borwein the following open problem has been suggested. ``Is $ D_f$ jointly convex if and only if $ D_F$ is?'' In this short note we provide a negative answer to this question.

remark:
From the Web site: This paper has been withdrawn by the author because a gap has been observed in the proof of a cited theorem which was an essential ingredient of our argument

rawabstract:
Consider a differentiable convex function $ f \colon R n \supset {\rm dom} f \to R $. The induced spectral function $F$ is given by $ F = f \cdot \lambda $, where $ \lambda \colon M^{sa}_n \to R^n$ is the eigenvalue map. Let us denote by $ D_f$ and $ D_F$ the Bregman distances associated with $f$ and $F$, respectively. In the paper ``Joint and separate convexity of the Bregman distance'' written by H. Bauschke and J. Borwein the following open problem has been suggested. ``Is $ D_f$ jointly convex if and only if $ D_F$ is?'' In this short note we provide a negative answer to this question.

entry:
@Article{Virosztek:2014:PBB,
  author =       "D{\'a}niel Virosztek",
  title =        "On a problem of {Bauschke} and {Borwein}",
  journal =      "arxiv.org",
  volume =       "??",
  number =       "??",
  pages =        "??--??",
  day =          "5",
  month =        dec,
  year =         "2014",
  bibdate =      "Thu Aug 11 14:23:45 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://arxiv.org/abs/1412.2602",
  abstract =     "Consider a differentiable convex function $ f \colon R
                 n \supset {\rm dom} f \to R $. The induced spectral
                 function $F$ is given by $ F = f \cdot \lambda $, where
                 $ \lambda \colon M^{sa}_n \to R^n$ is the eigenvalue
                 map. Let us denote by $ D_f$ and $ D_F$ the Bregman
                 distances associated with $f$ and $F$, respectively. In
                 the paper ``Joint and separate convexity of the Bregman
                 distance'' written by H. Bauschke and J. Borwein the
                 following open problem has been suggested. ``Is $ D_f$
                 jointly convex if and only if $ D_F$ is?'' In this
                 short note we provide a negative answer to this
                 question.",
  acknowledgement = ack-nhfb,
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  pagecount =    "??",
  remark =       "From the Web site: This paper has been withdrawn by
                 the author because a gap has been observed in the proof
                 of a cited theorem which was an essential ingredient of
                 our argument",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Xiao:2014:NBB
author: Yunhai Xiao and Soon-Yi Wu and Liqun Qi
journal: j-J-SCI-COMPUT
volume: 61
number: 1
pages: 17--41
year: 2014
CODEN: JSCOEB
DOI: https://doi.org/10.1007/s10915-013-9815-8
ISSN: 0885-7474 (print), 1573-7691 (electronic) OR 08857474 (print), 15737691 (electronic)
ISSNL: 0885-7474 OR 08857474
MRclass: 65K10 (90C30)
MRnumber: 3254365
MRreviewer: Ern{\"o} Robert Csetnek
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: Journal of Scientific Computing
acknowledgement: ack-nhfb
journalURL: http://link.springer.com/journal/10915
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Yunhai Xiao and Soon-Yi Wu and Liqun Qi
ORCID: Borwein, Jonathan/0000-0002-1263-0646
title:
Nonmonotone Barzilai--Borwein gradient algorithm for $ ell _1 $-regularized nonsmooth minimization in compressive sensing

rawtitle:
Nonmonotone {Barzilai--Borwein} gradient algorithm for $ \ell_1 $-regularized nonsmooth minimization in compressive sensing

entry:
@Article{Xiao:2014:NBB,
  author =       "Yunhai Xiao and Soon-Yi Wu and Liqun Qi",
  title =        "Nonmonotone {Barzilai--Borwein} gradient algorithm for
                 $ \ell_1 $-regularized nonsmooth minimization in
                 compressive sensing",
  journal =      j-J-SCI-COMPUT,
  volume =       "61",
  number =       "1",
  pages =        "17--41",
  year =         "2014",
  CODEN =        "JSCOEB",
  DOI =          "https://doi.org/10.1007/s10915-013-9815-8",
  ISSN =         "0885-7474 (print), 1573-7691 (electronic)",
  ISSN-L =       "0885-7474",
  MRclass =      "65K10 (90C30)",
  MRnumber =     "3254365",
  MRreviewer =   "Ern{\"o} Robert Csetnek",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Scientific Computing",
  journal-URL =  "http://link.springer.com/journal/10915",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Zhang:2014:NFB
author: Wenlong Zhang and Ying Zhang
title: New formulae of BBP-type modulo $6$
journal: Quaest. Math.
volume: 37
number: 3
pages: 393--400
year: 2014
DOI: https://doi.org/10.2989/16073606.2013.779605
ISSN: 1607-3606 (print), 1727-933X (electronic) OR 16073606 (print), 1727933X (electronic)
ISSNL: 1607-3606 OR 16073606
MRclass: 65B10 (40C10)
MRnumber: 3285292
MRreviewer: H. P. Dikshit
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: Quaestiones Mathematicae. Journal of the South African Mathematical Society
acknowledgement: ack-nhfb
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Wenlong Zhang and Ying Zhang
rawtitle: New formulae of {BBP}-type modulo $6$
entry:
@Article{Zhang:2014:NFB,
  author =       "Wenlong Zhang and Ying Zhang",
  title =        "New formulae of {BBP}-type modulo $6$",
  journal =      "Quaest. Math.",
  volume =       "37",
  number =       "3",
  pages =        "393--400",
  year =         "2014",
  DOI =          "https://doi.org/10.2989/16073606.2013.779605",
  ISSN =         "1607-3606 (print), 1727-933X (electronic)",
  ISSN-L =       "1607-3606",
  MRclass =      "65B10 (40C10)",
  MRnumber =     "3285292",
  MRreviewer =   "H. P. Dikshit",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Quaestiones Mathematicae. Journal of the South African
                 Mathematical Society",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Adiga:2015:RGT
author: Chandrashekar Adiga and Nasser Abdo Saeed Bulkhali
title: On Ramanujan's general theta function and a generalization of the Borweins' cubic theta functions
journal: Asian-Eur. J. Math.
volume: 8
number: 1
pages: 1550002, 16
year: 2015
DOI: https://doi.org/10.1142/S1793557115500023
ISSN: 1793-5571 (print), 1793-7183 (electronic) OR 17935571 (print), 17937183 (electronic)
ISSNL: 1793-7183 OR 17937183
MRclass: 11F27 (05A30 11B65)
MRnumber: 3322545
MRreviewer: Mohammad Ahmad
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: Asian-European Journal of Mathematics
acknowledgement: ack-nhfb
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Chandrashekar Adiga and Nasser Abdo Saeed Bulkhali
ORCID: Borwein, Jonathan/0000-0002-1263-0646
rawtitle:
On {Ramanujan}'s general theta function and a generalization of the {Borweins}' cubic theta functions

entry:
@Article{Adiga:2015:RGT,
  author =       "Chandrashekar Adiga and Nasser Abdo Saeed Bulkhali",
  title =        "On {Ramanujan}'s general theta function and a
                 generalization of the {Borweins}' cubic theta
                 functions",
  journal =      "Asian-Eur. J. Math.",
  volume =       "8",
  number =       "1",
  pages =        "1550002, 16",
  year =         "2015",
  DOI =          "https://doi.org/10.1142/S1793557115500023",
  ISSN =         "1793-5571 (print), 1793-7183 (electronic)",
  ISSN-L =       "1793-7183",
  MRclass =      "11F27 (05A30 11B65)",
  MRnumber =     "3322545",
  MRreviewer =   "Mohammad Ahmad",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Asian-European Journal of Mathematics",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: misc
filename: borwein-jonathan-m.bib
label: Anonymous:2015:IJB
author: Anonymous
pages: 1550002, 16
day: 18--22
month: may
monthnumber: 5
year: 2015
bibdate: Sat Sep 03 12:10:00 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.09.03 12:10:00 ???
URL: http://terryfest2015.xlim.fr/?page_id=482
acknowledgement: ack-nhfb
howpublished: Web video
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Anonymous
ORCID: Borwein, Jonathan/0000-0002-1263-0646
title:
Interview with Jon Borwein at the International Conference on Variational Analysis, Optimization and Quantitative Finance in honor of Terry Rockafellar's 80th Birthday

rawtitle:
Interview with {Jon Borwein} at the {International Conference on Variational Analysis, Optimization and Quantitative Finance in honor of Terry Rockafellar's 80th Birthday}

entry:
@Misc{Anonymous:2015:IJB,
  author =       "Anonymous",
  title =        "Interview with {Jon Borwein} at the {International
                 Conference on Variational Analysis, Optimization and
                 Quantitative Finance in honor of Terry Rockafellar's
                 80th Birthday}",
  howpublished = "Web video",
  day =          "18--22",
  month =        may,
  year =         "2015",
  bibdate =      "Sat Sep 03 12:10:00 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://terryfest2015.xlim.fr/?page_id=482",
  acknowledgement = ack-nhfb,
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Cohen:2015:BRM
author: Marion Cohen
journal: j-AMER-MATH-MONTHLY
volume: 122
number: 6
pages: 613--616
month: jun
monthnumber: 6
year: 2015
CODEN: AMMYAE
DOI: https://doi.org/10.4169/amer.math.monthly.122.6.613
ISSN: 0002-9890 (print), 1930-0972 (electronic) OR 00029890 (print), 19300972 (electronic)
ISSNL: 0002-9890 OR 00029890
bibdate: Tue Aug 4 15:54:08 MDT 2015
bibtimestamp: 2015.08.04 15:54:08 MDT
URL: https://www.jstor.org/stable/10.4169/amer.math.monthly.122.6.613
fjournal: American Mathematical Monthly
acknowledgement: ack-nhfb
journalURL: https://www.jstor.org/journals/00029890.html
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Marion Cohen
ORCID: Borwein, Jonathan/0000-0002-1263-0646
title:
Book Review: booktitle Mathematicians on Creativity. Edited by Peter B. Borwein, Peter Liljedahl, and Helen Zhai, The Mathematical Association of America, Washington DC, 2014, xviii + 199 pp, ISBN 978-0-88385-574-4, $30.00

bibsource:
https://www.jstor.org/stable/10.4169/amermathmont.122.issue-6; https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly2010.bib;

rawtitle:
Book Review: {{\booktitle{Mathematicians on Creativity}}. Edited by Peter B. Borwein, Peter Liljedahl, and Helen Zhai, The Mathematical Association of America, Washington DC, 2014, xviii + 199 pp, ISBN 978-0-88385-574-4, \$30.00}

entry:
@Article{Cohen:2015:BRM,
  author =       "Marion Cohen",
  title =        "Book Review: {{\booktitle{Mathematicians on
                 Creativity}}. Edited by Peter B. Borwein, Peter
                 Liljedahl, and Helen Zhai, The Mathematical Association
                 of America, Washington DC, 2014, xviii + 199 pp, ISBN
                 978-0-88385-574-4, \$30.00}",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "122",
  number =       "6",
  pages =        "613--616",
  month =        jun # "\slash " # jul,
  year =         "2015",
  CODEN =        "AMMYAE",
  DOI =          "https://doi.org/10.4169/amer.math.monthly.122.6.613",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Tue Aug 4 15:54:08 MDT 2015",
  bibsource =    "https://www.jstor.org/stable/10.4169/amermathmont.122.issue-6;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/amermathmonthly2010.bib;",
  URL =          "https://www.jstor.org/stable/10.4169/amer.math.monthly.122.6.613",
  acknowledgement = ack-nhfb,
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "https://www.jstor.org/journals/00029890.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: incollection
filename: borwein-jonathan-m.bib
label: Dai:2015:PBB
author: Yu-Hong Dai and Mehiddin Al-Baali and Xiaoqi Yang
booktitle: Numerical analysis and optimization
title: A positive Barzilai--Borwein-like stepsize and an extension for symmetric linear systems
volume: 134
publisher: Springer, Cham
pages: 59--75
year: 2015
DOI: https://doi.org/10.1007/978-3-319-17689-5_3
MRclass: 65K10 (90C20)
MRnumber: 3446842
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
series: Springer Proc. Math. Stat.
acknowledgement: ack-nhfb
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Yu-Hong Dai and Mehiddin Al-Baali and Xiaoqi Yang
rawbooktitle: Numerical analysis and optimization
rawtitle: A positive {Barzilai--Borwein}-like stepsize and an extension for symmetric linear systems
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@InCollection{Dai:2015:PBB,
  author =       "Yu-Hong Dai and Mehiddin Al-Baali and Xiaoqi Yang",
  booktitle =    "Numerical analysis and optimization",
  title =        "A positive {Barzilai--Borwein}-like stepsize and an
                 extension for symmetric linear systems",
  volume =       "134",
  publisher =    "Springer, Cham",
  pages =        "59--75",
  year =         "2015",
  DOI =          "https://doi.org/10.1007/978-3-319-17689-5_3",
  MRclass =      "65K10 (90C20)",
  MRnumber =     "3446842",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  series =       "Springer Proc. Math. Stat.",
  acknowledgement = ack-nhfb,
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Fang:2015:DSF
author: Xiaowei Fang and Qin Ni
title: A direct search frame-based adaptive Barzilai--Borwein method
journal: j-J-COMP-MATH
volume: 33
number: 2
pages: 179--190
year: 2015
CODEN: JCMMEB
DOI: https://doi.org/10.4208/jcm.1411-m4519
ISSN: 0254-9409 (print), 1991-7139 (electronic) OR 02549409 (print), 19917139 (electronic)
ISSNL: 0254-9409 OR 02549409
MRclass: 90C56 (65K10 90C30)
MRnumber: 3326009
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: Journal of Computational Mathematics
acknowledgement: ack-nhfb
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Xiaowei Fang and Qin Ni
rawtitle: A direct search frame-based adaptive {Barzilai--Borwein} method
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Fang:2015:DSF,
  author =       "Xiaowei Fang and Qin Ni",
  title =        "A direct search frame-based adaptive
                 {Barzilai--Borwein} method",
  journal =      j-J-COMP-MATH,
  volume =       "33",
  number =       "2",
  pages =        "179--190",
  year =         "2015",
  CODEN =        "JCMMEB",
  DOI =          "https://doi.org/10.4208/jcm.1411-m4519",
  ISSN =         "0254-9409 (print), 1991-7139 (electronic)",
  ISSN-L =       "0254-9409",
  MRclass =      "90C56 (65K10 90C30)",
  MRnumber =     "3326009",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Mathematics",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Gao:2015:BBL
author: Huan Gao and Yu-Hong Dai and Xiao-Jiao Tong
title: Barzilai--Borwein-like methods for the extreme eigenvalue problem
journal: J. Ind. Manag. Optim.
volume: 11
number: 3
pages: 999--1019
year: 2015
DOI: https://doi.org/10.3934/jimo.2015.11.999
ISSN: 1547-5816 (print), 1553-166X (electronic) OR 15475816 (print), 1553166X (electronic)
ISSNL: 1547-5816 OR 15475816
MRclass: 90C25 (49M30 90C30)
MRnumber: 3269459
MRreviewer: Jen-Chih Yao
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: Journal of Industrial and Management Optimization
acknowledgement: ack-nhfb
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Huan Gao and Yu-Hong Dai and Xiao-Jiao Tong
rawtitle: {Barzilai--Borwein}-like methods for the extreme eigenvalue problem
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Gao:2015:BBL,
  author =       "Huan Gao and Yu-Hong Dai and Xiao-Jiao Tong",
  title =        "{Barzilai--Borwein}-like methods for the extreme
                 eigenvalue problem",
  journal =      "J. Ind. Manag. Optim.",
  volume =       "11",
  number =       "3",
  pages =        "999--1019",
  year =         "2015",
  DOI =          "https://doi.org/10.3934/jimo.2015.11.999",
  ISSN =         "1547-5816 (print), 1553-166X (electronic)",
  ISSN-L =       "1547-5816",
  MRclass =      "90C25 (49M30 90C30)",
  MRnumber =     "3269459",
  MRreviewer =   "Jen-Chih Yao",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Industrial and Management Optimization",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Huang:2015:BBT
author: Yakui Huang and Hongwei Liu
title: A Barzilai--Borwein type method for minimizing composite functions
journal: j-NUMER-ALGORITHMS
volume: 69
number: 4
pages: 819--838
year: 2015
CODEN: NUALEG
DOI: https://doi.org/10.1007/s11075-014-9927-8
ISSN: 1017-1398 (print), 1572-9265 (electronic) OR 10171398 (print), 15729265 (electronic)
ISSNL: 1017-1398 OR 10171398
MRclass: 65K10 (90C53 90C56)
MRnumber: 3374101
MRreviewer: Masoud Hajarian
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: Numerical Algorithms
acknowledgement: ack-nhfb
journalURL: http://link.springer.com/journal/11075
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Yakui Huang and Hongwei Liu
rawtitle: A {Barzilai--Borwein} type method for minimizing composite functions
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Huang:2015:BBT,
  author =       "Yakui Huang and Hongwei Liu",
  title =        "A {Barzilai--Borwein} type method for minimizing
                 composite functions",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "69",
  number =       "4",
  pages =        "819--838",
  year =         "2015",
  CODEN =        "NUALEG",
  DOI =          "https://doi.org/10.1007/s11075-014-9927-8",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  MRclass =      "65K10 (90C53 90C56)",
  MRnumber =     "3374101",
  MRreviewer =   "Masoud Hajarian",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Huang:2015:EMP
author: Yakui Huang and Hongwei Liu and Sha Zhou
title: An efficient monotone projected Barzilai--Borwein method for nonnegative matrix factorization
journal: j-APPL-MATH-LETT
volume: 45
pages: 12--17
year: 2015
CODEN: AMLEEL
DOI: https://doi.org/10.1016/j.aml.2015.01.003
ISSN: 0893-9659 (print), 1873-5452 (electronic) OR 08939659 (print), 18735452 (electronic)
ISSNL: 0893-9659 OR 08939659
MRclass: 15A21 (90C20)
MRnumber: 3316954
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
URL: http://www.sciencedirect.com/science/article/pii/S0893965915000087
fjournal: Applied Mathematics Letters. An International Journal of Rapid Publication
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/08939659
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Yakui Huang and Hongwei Liu and Sha Zhou
rawtitle: An efficient monotone projected {Barzilai--Borwein} method for nonnegative matrix factorization
ORCID: Borwein, Jonathan/0000-0002-1263-0646
abstract:
In this paper, we present an efficient method for nonnegative matrix factorization based on the alternating nonnegative least squares framework. Our approach adopts a monotone projected Barzilai Borwein (MPBB) method as an essential subroutine where the step length is determined without line search. The Lipschitz constant of the gradient is exploited to accelerate convergence. Global convergence of the proposed MPBB method is established. Numerical results are reported to demonstrate the efficiency of our algorithm.

rawabstract:
In this paper, we present an efficient method for nonnegative matrix factorization based on the alternating nonnegative least squares framework. Our approach adopts a monotone projected Barzilai Borwein (MPBB) method as an essential subroutine where the step length is determined without line search. The Lipschitz constant of the gradient is exploited to accelerate convergence. Global convergence of the proposed MPBB method is established. Numerical results are reported to demonstrate the efficiency of our algorithm.

entry:
@Article{Huang:2015:EMP,
  author =       "Yakui Huang and Hongwei Liu and Sha Zhou",
  title =        "An efficient monotone projected {Barzilai--Borwein}
                 method for nonnegative matrix factorization",
  journal =      j-APPL-MATH-LETT,
  volume =       "45",
  pages =        "12--17",
  year =         "2015",
  CODEN =        "AMLEEL",
  DOI =          "https://doi.org/10.1016/j.aml.2015.01.003",
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  URL =          "http://www.sciencedirect.com/science/article/pii/S0893965915000087",
  abstract =     "In this paper, we present an efficient method for
                 nonnegative matrix factorization based on the
                 alternating nonnegative least squares framework. Our
                 approach adopts a monotone projected Barzilai Borwein
                 (MPBB) method as an essential subroutine where the step
                 length is determined without line search. The Lipschitz
                 constant of the gradient is exploited to accelerate
                 convergence. Global convergence of the proposed MPBB
                 method is established. Numerical results are reported
                 to demonstrate the efficiency of our algorithm.",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Mathematics Letters. An International Journal
                 of Rapid Publication",
  journal-URL =  "http://www.sciencedirect.com/science/journal/08939659",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Huang:2015:QRP
author: Yakui Huang and Hongwei Liu and Shuisheng Zhou
title: Quadratic regularization projected Barzilai--Borwein method for nonnegative matrix factorization
journal: Data Min. Knowl. Discov.
volume: 29
number: 6
pages: 1665--1684
year: 2015
DOI: https://doi.org/10.1007/s10618-014-0390-x
ISSN: 1384-5810 (print), 1573-756X (electronic) OR 13845810 (print), 1573756X (electronic)
ISSNL: 1384-5810 OR 13845810
MRclass: 65F05 (15A23 90C53 90C55)
MRnumber: 3401823
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: Data Mining and Knowledge Discovery
acknowledgement: ack-nhfb
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Yakui Huang and Hongwei Liu and Shuisheng Zhou
rawtitle: Quadratic regularization projected {Barzilai--Borwein} method for nonnegative matrix factorization
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entry:
@Article{Huang:2015:QRP,
  author =       "Yakui Huang and Hongwei Liu and Shuisheng Zhou",
  title =        "Quadratic regularization projected {Barzilai--Borwein}
                 method for nonnegative matrix factorization",
  journal =      "Data Min. Knowl. Discov.",
  volume =       "29",
  number =       "6",
  pages =        "1665--1684",
  year =         "2015",
  DOI =          "https://doi.org/10.1007/s10618-014-0390-x",
  ISSN =         "1384-5810 (print), 1573-756X (electronic)",
  ISSN-L =       "1384-5810",
  MRclass =      "65F05 (15A23 90C53 90C55)",
  MRnumber =     "3401823",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Data Mining and Knowledge Discovery",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Huang:2015:RCP
author: Yakui Huang and Hongwei Liu
title: On the rate of convergence of projected Barzilai--Borwein methods
journal: j-OPTIM-METHODS-SOFTW
volume: 30
number: 4
pages: 880--892
year: 2015
DOI: https://doi.org/10.1080/10556788.2015.1004064
ISSN: 1026-7670 (print), 1055-6788 (electronic) OR 10267670 (print), 10556788 (electronic)
ISSNL: 1026-7670 OR 10267670
MRclass: 90C53 (90C25 90C26)
MRnumber: 3375679
MRreviewer: Saman Babaie-Kafaki
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: Optimization Methods & Software
acknowledgement: ack-nhfb
journalURL: http://www.tandfonline.com/loi/goms20
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Yakui Huang and Hongwei Liu
rawtitle: On the rate of convergence of projected {Barzilai--Borwein} methods
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Huang:2015:RCP,
  author =       "Yakui Huang and Hongwei Liu",
  title =        "On the rate of convergence of projected
                 {Barzilai--Borwein} methods",
  journal =      j-OPTIM-METHODS-SOFTW,
  volume =       "30",
  number =       "4",
  pages =        "880--892",
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  DOI =          "https://doi.org/10.1080/10556788.2015.1004064",
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  MRclass =      "90C53 (90C25 90C26)",
  MRnumber =     "3375679",
  MRreviewer =   "Saman Babaie-Kafaki",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
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  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Li:2015:SNB
author: Xiangli Li
journal: Mathematical Problems in Engineering
volume: 2015
pages: 425351
year: 2015
DOI: https://doi.org/10.1155/2015/425351
ISSN: 1024-123X OR 1024123X
MRclass: 90C15 (90C33)
MRnumber: 3407135
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
URL: http://www.hindawi.com/journals/mpe/2015/425351/
fjournal: Mathematical Problems in Engineering
acknowledgement: ack-nhfb
ajournal: Math. Probl. Eng.
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Xiangli Li
ORCID: Borwein, Jonathan/0000-0002-1263-0646
title:
Smoothing nonmonotone Barzilai--Borwein gradient method and its application to stochastic linear complementarity problems

rawtitle:
Smoothing nonmonotone {Barzilai--Borwein} gradient method and its application to stochastic linear complementarity problems

entry:
@Article{Li:2015:SNB,
  author =       "Xiangli Li",
  title =        "Smoothing nonmonotone {Barzilai--Borwein} gradient
                 method and its application to stochastic linear
                 complementarity problems",
  journal =      "Mathematical Problems in Engineering",
  volume =       "2015",
  pages =        "425351",
  year =         "2015",
  DOI =          "https://doi.org/10.1155/2015/425351",
  ISSN =         "1024-123X",
  MRclass =      "90C15 (90C33)",
  MRnumber =     "3407135",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://www.hindawi.com/journals/mpe/2015/425351/",
  acknowledgement = ack-nhfb,
  ajournal =     "Math. Probl. Eng.",
  fjournal =     "Mathematical Problems in Engineering",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  pagecount =    "6",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Merca:2015:DII
author: Mircea Merca
title: A double inequality involving Erdos--Borwein constants
journal: Miskolc Math. Notes
volume: 16
number: 1
pages: 277--281
year: 2015
ISSN: 1787-2405 OR 17872405
MRclass: 26D15 (05A15 26D07 30B10)
MRnumber: 3384606
MRreviewer: Shea-Ming Oon
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: Miskolc Mathematical Notes. A Publication of the University of Miskolc
acknowledgement: ack-nhfb
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Mircea Merca
rawtitle: A double inequality involving {Erd{\H{o}}s--Borwein} constants
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Merca:2015:DII,
  author =       "Mircea Merca",
  title =        "A double inequality involving {Erd{\H{o}}s--Borwein}
                 constants",
  journal =      "Miskolc Math. Notes",
  volume =       "16",
  number =       "1",
  pages =        "277--281",
  year =         "2015",
  ISSN =         "1787-2405",
  MRclass =      "26D15 (05A15 26D07 30B10)",
  MRnumber =     "3384606",
  MRreviewer =   "Shea-Ming Oon",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Miskolc Mathematical Notes. A Publication of the
                 University of Miskolc",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Nimbran:2015:TSA
author: Amrik Singh Nimbran
title: Taylor series for arctan and BBP-type formulas for $ pi $
journal: j-MATH-STUDENT
volume: 84
number: 3--4
pages: 39--52
year: 2015
CODEN: MTHSBH
ISSN: 0025-5742 OR 00255742
MRclass: 26A24 (30D10 33B10 40A25 41A58)
MRnumber: 3467545
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: The Mathematics Student
acknowledgement: ack-nhfb
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Amrik Singh Nimbran
rawtitle: {Taylor} series for arctan and {BBP}-type formulas for $ \pi $
entry:
@Article{Nimbran:2015:TSA,
  author =       "Amrik Singh Nimbran",
  title =        "{Taylor} series for arctan and {BBP}-type formulas for
                 $ \pi $",
  journal =      j-MATH-STUDENT,
  volume =       "84",
  number =       "3--4",
  pages =        "39--52",
  year =         "2015",
  CODEN =        "MTHSBH",
  ISSN =         "0025-5742",
  MRclass =      "26A24 (30D10 33B10 40A25 41A58)",
  MRnumber =     "3467545",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "The Mathematics Student",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Solomon:2015:DS
author: Benjamin T. Solomon
title: ET, the Deafening Silence
journal: Huffington Post
day: 10
month: aug
monthnumber: 8
year: 2015
bibdate: Tue Aug 16 07:19:15 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.16 07:19:15 ???
note: See cite Bailey:2015:DSF.
URL: http://www.huffingtonpost.com/benjamin-t-solomon/et-the-deafening-silence_b_7608462.html
acknowledgement: ack-nhfb
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Benjamin T. Solomon
rawnote: See \cite{Bailey:2015:DSF}.
rawtitle: {ET}, the Deafening Silence
entry:
@Article{Solomon:2015:DS,
  author =       "Benjamin T. Solomon",
  title =        "{ET}, the Deafening Silence",
  journal =      "Huffington Post",
  volume =       "??",
  number =       "??",
  pages =        "??",
  day =          "10",
  month =        aug,
  year =         "2015",
  bibdate =      "Tue Aug 16 07:19:15 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "See \cite{Bailey:2015:DSF}.",
  URL =          "http://www.huffingtonpost.com/benjamin-t-solomon/et-the-deafening-silence_b_7608462.html",
  acknowledgement = ack-nhfb,
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Sopyla:2015:SGD
author: Krzysztof Sopyla and Pawe Drozda
title: Stochastic Gradient Descent with Barzilai--Borwein update step for SVM
journal: j-INFO-SCI
volume: 316
pages: 218--233
year: 2015
CODEN: ISIJBC
DOI: https://doi.org/10.1016/j.ins.2015.03.073
ISSN: 0020-0255 (print), 1872-6291 (electronic) OR 00200255 (print), 18726291 (electronic)
ISSNL: 0020-0255 OR 00200255
bibdate: Fri Aug 12 10:34:13 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.12 10:34:13 ???
note: Nature-Inspired Algorithms for Large Scale Global Optimization.
URL: http://www.sciencedirect.com/science/article/pii/S0020025515002467
fjournal: Information Sciences
keywords: Barzilai Borwein; Classification; Online learning; Stochastic Gradient Descent; SVM
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00200255
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Krzysztof Sopy{\l}a and Pawe Drozda
rawnote: Nature-Inspired Algorithms for Large Scale Global Optimization.
rawtitle: Stochastic Gradient Descent with {Barzilai--Borwein} update step for {SVM}
ORCID: Borwein, Jonathan/0000-0002-1263-0646
abstract:
This paper presents a new approach to solving the optimization task that arises when L2-SVM in its primal form is considered. In particular, we propose the application of a Barzilai Borwein (BB) update step in five variants for the classic Stochastic Gradient Descent (SGD) algorithm. The evaluation is designed to check the effectiveness of the proposed methods in large scale scenarios in terms of execution time, convergence and sensitivity to the choice of initial parameters. The obtained results are compared with those obtained for well-known linear SVM algorithms and they indicate that the level of convergence of the proposed methods is very similar to that found in the other studies. Moreover, our approach shows much lower sensitivity to the choice of initial parameters, which allows for a substantial reduction of pre-processing.

rawabstract:
This paper presents a new approach to solving the optimization task that arises when L2-SVM in its primal form is considered. In particular, we propose the application of a Barzilai Borwein (BB) update step in five variants for the classic Stochastic Gradient Descent (SGD) algorithm. The evaluation is designed to check the effectiveness of the proposed methods in large scale scenarios in terms of execution time, convergence and sensitivity to the choice of initial parameters. The obtained results are compared with those obtained for well-known linear SVM algorithms and they indicate that the level of convergence of the proposed methods is very similar to that found in the other studies. Moreover, our approach shows much lower sensitivity to the choice of initial parameters, which allows for a substantial reduction of pre-processing.

entry:
@Article{Sopyla:2015:SGD,
  author =       "Krzysztof Sopy{\l}a and Pawe Drozda",
  title =        "Stochastic Gradient Descent with {Barzilai--Borwein}
                 update step for {SVM}",
  journal =      j-INFO-SCI,
  volume =       "316",
  pages =        "218--233",
  year =         "2015",
  CODEN =        "ISIJBC",
  DOI =          "https://doi.org/10.1016/j.ins.2015.03.073",
  ISSN =         "0020-0255 (print), 1872-6291 (electronic)",
  ISSN-L =       "0020-0255",
  bibdate =      "Fri Aug 12 10:34:13 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Nature-Inspired Algorithms for Large Scale Global
                 Optimization.",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0020025515002467",
  abstract =     "This paper presents a new approach to solving the
                 optimization task that arises when L2-SVM in its primal
                 form is considered. In particular, we propose the
                 application of a Barzilai Borwein (BB) update step in
                 five variants for the classic Stochastic Gradient
                 Descent (SGD) algorithm. The evaluation is designed to
                 check the effectiveness of the proposed methods in
                 large scale scenarios in terms of execution time,
                 convergence and sensitivity to the choice of initial
                 parameters. The obtained results are compared with
                 those obtained for well-known linear SVM algorithms and
                 they indicate that the level of convergence of the
                 proposed methods is very similar to that found in the
                 other studies. Moreover, our approach shows much lower
                 sensitivity to the choice of initial parameters, which
                 allows for a substantial reduction of pre-processing.",
  acknowledgement = ack-nhfb,
  fjournal =     "Information Sciences",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00200255",
  keywords =     "Barzilai Borwein; Classification; Online learning;
                 Stochastic Gradient Descent; SVM",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Wang:2015:BBS
author: Liumei Wang and Wenyu Sun and Raimundo J. B. de Sampaio and Jinyun Yuan
title: A Barzilai and Borwein scaling conjugate gradient method for unconstrained optimization problems
journal: j-APPL-MATH-COMP
volume: 262
pages: 136--144
year: 2015
CODEN: AMHCBQ
DOI: https://doi.org/10.1016/j.amc.2015.04.046
ISSN: 0096-3003 (print), 1873-5649 (electronic) OR 00963003 (print), 18735649 (electronic)
ISSNL: 0096-3003 OR 00963003
MRclass: 65K05 (90C30 90C53)
MRnumber: 3346529
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
URL: http://www.sciencedirect.com/science/article/pii/S0096300315005044
fjournal: Applied Mathematics and Computation
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00963003
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Liumei Wang and Wenyu Sun and Raimundo J. B. de Sampaio and Jinyun Yuan
ORCID: Borwein, Jonathan/0000-0002-1263-0646
abstract:
In this paper, we combine the conjugate gradient method with the Barzilai and Borwein gradient method, and propose a Barzilai and Borwein scaling conjugate gradient method for nonlinear unconstrained optimization problems. The new method does not require to compute and store matrices associated with Hessian of the objective functions, and has an advantage of less computational efforts. Moreover, the descent direction property and the global convergence are established when the line search fulfills the Wolfe conditions. The limited numerical experiments and comparisons show that the proposed algorithm is potentially efficient.

keywords:
Barzilai Borwein method; Conjugate gradient method; Global convergence; Optimization methods; Unconstrained optimization

rawabstract:
In this paper, we combine the conjugate gradient method with the Barzilai and Borwein gradient method, and propose a Barzilai and Borwein scaling conjugate gradient method for nonlinear unconstrained optimization problems. The new method does not require to compute and store matrices associated with Hessian of the objective functions, and has an advantage of less computational efforts. Moreover, the descent direction property and the global convergence are established when the line search fulfills the Wolfe conditions. The limited numerical experiments and comparisons show that the proposed algorithm is potentially efficient.

rawtitle:
A {Barzilai} and {Borwein} scaling conjugate gradient method for unconstrained optimization problems

entry:
@Article{Wang:2015:BBS,
  author =       "Liumei Wang and Wenyu Sun and Raimundo J. B. de
                 Sampaio and Jinyun Yuan",
  title =        "A {Barzilai} and {Borwein} scaling conjugate gradient
                 method for unconstrained optimization problems",
  journal =      j-APPL-MATH-COMP,
  volume =       "262",
  pages =        "136--144",
  year =         "2015",
  CODEN =        "AMHCBQ",
  DOI =          "https://doi.org/10.1016/j.amc.2015.04.046",
  ISSN =         "0096-3003 (print), 1873-5649 (electronic)",
  ISSN-L =       "0096-3003",
  MRclass =      "65K05 (90C30 90C53)",
  MRnumber =     "3346529",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0096300315005044",
  abstract =     "In this paper, we combine the conjugate gradient
                 method with the Barzilai and Borwein gradient method,
                 and propose a Barzilai and Borwein scaling conjugate
                 gradient method for nonlinear unconstrained
                 optimization problems. The new method does not require
                 to compute and store matrices associated with Hessian
                 of the objective functions, and has an advantage of
                 less computational efforts. Moreover, the descent
                 direction property and the global convergence are
                 established when the line search fulfills the Wolfe
                 conditions. The limited numerical experiments and
                 comparisons show that the proposed algorithm is
                 potentially efficient.",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Mathematics and Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00963003",
  keywords =     "Barzilai Borwein method; Conjugate gradient method;
                 Global convergence; Optimization methods; Unconstrained
                 optimization",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Wei:2015:SBT
author: Chuanan Wei
title: Several BBP-type formulas for $ pi $
journal: Integral Transforms Spec. Funct.
volume: 26
number: 5
pages: 315--324
year: 2015
DOI: https://doi.org/10.1080/10652469.2014.997724
ISSN: 1065-2469 (print), 1476-8291 (electronic) OR 10652469 (print), 14768291 (electronic)
ISSNL: 1065-2469 OR 10652469
MRclass: 11Y60 (40A15 65B10)
MRnumber: 3312607
MRreviewer: Necdet Batir
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: Integral Transforms and Special Functions. An International Journal
acknowledgement: ack-nhfb
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Chuanan Wei
rawtitle: Several {BBP}-type formulas for $ \pi $
entry:
@Article{Wei:2015:SBT,
  author =       "Chuanan Wei",
  title =        "Several {BBP}-type formulas for $ \pi $",
  journal =      "Integral Transforms Spec. Funct.",
  volume =       "26",
  number =       "5",
  pages =        "315--324",
  year =         "2015",
  DOI =          "https://doi.org/10.1080/10652469.2014.997724",
  ISSN =         "1065-2469 (print), 1476-8291 (electronic)",
  ISSN-L =       "1065-2469",
  MRclass =      "11Y60 (40A15 65B10)",
  MRnumber =     "3312607",
  MRreviewer =   "Necdet Batir",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Integral Transforms and Special Functions. An
                 International Journal",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Anonymous:2016:JMB
author: Anonymous
title: Jonathan M. Borwein, former CMS President, dies at 65
journal: j-ACM-COMM-COMP-ALGEBRA
volume: 50
number: 3
pages: 121--122
month: sep
monthnumber: 9
year: 2016
ISSN: 1932-2232 (print), 1932-2240 (electronic) OR 19322232 (print), 19322240 (electronic)
ISSNL: 1932-2232 OR 19322232
bibdate: Tue Apr 04 14:00:57 2017
bibtimestamp: 2017.04.04 14:00:57 ???
fjournal: ACM Communications in Computer Algebra
acknowledgement: ack-nhfb
journalURL: http://portal.acm.org/browse_dl.cfm?idx=J1000
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
issue: 197
rawauthor: Anonymous
rawtitle: {Jonathan M. Borwein}, former {CMS President}, dies at 65
ORCID: Borwein, Jonathan/0000-0002-1263-0646
bibsource:
http://portal.acm.org/; https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; https://www.math.utah.edu/pub/tex/bib/sigsam.bib

entry:
@Article{Anonymous:2016:JMB,
  author =       "Anonymous",
  title =        "{Jonathan M. Borwein}, former {CMS President}, dies at
                 65",
  journal =      j-ACM-COMM-COMP-ALGEBRA,
  volume =       "50",
  number =       "3",
  pages =        "121--122",
  month =        sep,
  year =         "2016",
  CODEN =        "????",
  ISSN =         "1932-2232 (print), 1932-2240 (electronic)",
  ISSN-L =       "1932-2232",
  bibdate =      "Tue Apr 04 14:00:57 2017",
  bibsource =    "http://portal.acm.org/;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/sigsam.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Communications in Computer Algebra",
  issue =        "197",
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J1000",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Arzani:2016:NNF
author: F. Arzani and M. Reza Peyghami
title: A new nonmonotone filter Barzilai--Borwein method for solving unconstrained optimization problems
journal: j-INT-J-COMPUT-MATH
volume: 93
number: 3
pages: 596--608
year: 2016
CODEN: IJCMAT
DOI: https://doi.org/10.1080/00207160.2015.1009903
ISSN: 0020-7160 OR 00207160
ISSNL: 0020-7160 OR 00207160
MRclass: 65K10 (90C30 90C53)
MRnumber: 3462118
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: International Journal of Computer Mathematics
acknowledgement: ack-nhfb
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: F. Arzani and M. Reza Peyghami
rawtitle: A new nonmonotone filter {Barzilai--Borwein} method for solving unconstrained optimization problems
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Arzani:2016:NNF,
  author =       "F. Arzani and M. Reza Peyghami",
  title =        "A new nonmonotone filter {Barzilai--Borwein} method
                 for solving unconstrained optimization problems",
  journal =      j-INT-J-COMPUT-MATH,
  volume =       "93",
  number =       "3",
  pages =        "596--608",
  year =         "2016",
  CODEN =        "IJCMAT",
  DOI =          "https://doi.org/10.1080/00207160.2015.1009903",
  ISSN =         "0020-7160",
  ISSN-L =       "0020-7160",
  MRclass =      "65K10 (90C30 90C53)",
  MRnumber =     "3462118",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal of Computer Mathematics",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: misc
filename: borwein-jonathan-m.bib
label: Bailey:2016:BBM
author: David H. Bailey
title: Bailey, Borwein, Mattingly and Wightwick to receive the Levi L. Conant Prize from AMS
pages: 596--608
day: 2
month: dec
monthnumber: 12
year: 2016
bibdate: Fri Dec 02 17:54:38 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.12.02 17:54:38 ???
acknowledgement: ack-nhfb
howpublished: Web document.
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: David H. Bailey
rawtitle: {Bailey}, {Borwein}, {Mattingly} and {Wightwick} to receive the {Levi L. Conant Prize} from {AMS}
ORCID: Bailey, David H./0000-0002-7574-8342; Borwein, Jonathan/0000-0002-1263-0646
URL:
http://experimentalmath.org/2016/12/bailey-borwein-mattingly-and-wightwick-to-receive-the-levi-l-conant-prize-from-ams/; http://www.ams.org/news?news_id=3232

abstract:
This year's prize was awarded for the recipients' 2013 article booktitle The Computation of Previously Inaccessible Digits of $ pi ^2 $ and Catalan's Constant cite Bailey:2013:CPI, which appeared in the August 2013 issue of the booktitle Notices of the American Mathematical Society. The AMS summarizes the article as follows:par ``The article opens with a historical journey, from Archimedes to the computer age, with many interesting anecdotes along the way. It then goes on to discuss the remarkable ``BBP'' formula, discovered by Bailey together with Peter Borwein and Simon Plouffe. The formula allows one to calculate binary or hexadecimal digits of $ pi $ beginning with the nth digit without first calculating any of the preceding $ n - 1 $ digits. The article leads readers through not only an elementary proof of the BBP formula but also the unconventional search that originally led to this formula as well as similar formulas for Catalan's constant and $ pi ^2 $. The article also provides intriguing insights into the age-old question of whether the digits of $ pi $ are truly randomly distributed.''

rawabstract:
This year's prize was awarded for the recipients' 2013 article \booktitle{The Computation of Previously Inaccessible Digits of $ \pi^2 $ and Catalan's Constant} \cite{Bailey:2013:CPI}, which appeared in the August 2013 issue of the \booktitle{Notices of the American Mathematical Society}. The AMS summarizes the article as follows:\par ``The article opens with a historical journey, from Archimedes to the computer age, with many interesting anecdotes along the way. It then goes on to discuss the remarkable ``BBP'' formula, discovered by Bailey together with Peter Borwein and Simon Plouffe. The formula allows one to calculate binary or hexadecimal digits of $ \pi $ beginning with the nth digit without first calculating any of the preceding $ n - 1 $ digits. The article leads readers through not only an elementary proof of the BBP formula but also the unconventional search that originally led to this formula as well as similar formulas for Catalan's constant and $ \pi^2 $. The article also provides intriguing insights into the age-old question of whether the digits of $ \pi $ are truly randomly distributed.''

entry:
@Misc{Bailey:2016:BBM,
  author =       "David H. Bailey",
  title =        "{Bailey}, {Borwein}, {Mattingly} and {Wightwick} to
                 receive the {Levi L. Conant Prize} from {AMS}",
  howpublished = "Web document.",
  day =          "2",
  month =        dec,
  year =         "2016",
  bibdate =      "Fri Dec 02 17:54:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://experimentalmath.org/2016/12/bailey-borwein-mattingly-and-wightwick-to-receive-the-levi-l-conant-prize-from-ams/;
                 http://www.ams.org/news?news_id=3232",
  abstract =     "This year's prize was awarded for the recipients' 2013
                 article \booktitle{The Computation of Previously
                 Inaccessible Digits of $ \pi^2 $ and Catalan's
                 Constant} \cite{Bailey:2013:CPI}, which appeared in the
                 August 2013 issue of the \booktitle{Notices of the
                 American Mathematical Society}. The AMS summarizes the
                 article as follows:\par

                 ``The article opens with a historical journey, from
                 Archimedes to the computer age, with many interesting
                 anecdotes along the way. It then goes on to discuss the
                 remarkable ``BBP'' formula, discovered by Bailey
                 together with Peter Borwein and Simon Plouffe. The
                 formula allows one to calculate binary or hexadecimal
                 digits of $ \pi $ beginning with the nth digit without
                 first calculating any of the preceding $ n - 1 $
                 digits. The article leads readers through not only an
                 elementary proof of the BBP formula but also the
                 unconventional search that originally led to this
                 formula as well as similar formulas for Catalan's
                 constant and $ \pi^2 $. The article also provides
                 intriguing insights into the age-old question of
                 whether the digits of $ \pi $ are truly randomly
                 distributed.''",
  acknowledgement = ack-nhfb,
  ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
                 Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: incollection
filename: borwein-jonathan-m.bib
label: Bailey:2016:CDD
author: David H. Bailey
crossref: Bailey:2016:PNG
pages: 109--124
year: 2016
DOI: https://doi.org/10.1007/978-3-319-32377-0_7
bibdate: Tue Mar 14 11:34:57 2017
bibtimestamp: 2017.03.14 11:34:57 ???
acknowledgement: ack-nhfb
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: David H. Bailey
ORCID: Bailey, David H./0000-0002-7574-8342; Borwein, Jonathan/0000-0002-1263-0646
title:
The computation of $ pi $ to 29,360,000 decimal digits using Borweins' quartically convergent algorithm (1988)

rawtitle:
The computation of $ \pi $ to 29,360,000 decimal digits using {Borweins}' quartically convergent algorithm (1988)

entry:
@InCollection{Bailey:2016:CDD,
  author =       "David H. Bailey",
  title =        "The computation of $ \pi $ to 29,360,000 decimal
                 digits using {Borweins}' quartically convergent
                 algorithm (1988)",
  crossref =     "Bailey:2016:PNG",
  pages =        "109--124",
  year =         "2016",
  DOI =          "https://doi.org/10.1007/978-3-319-32377-0_7",
  bibdate =      "Tue Mar 14 11:34:57 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/agm.bib",
  acknowledgement = ack-nhfb,
  ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
                 Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: misc
filename: borwein-jonathan-m.bib
label: Bailey:2016:JBD
author: David H. Bailey
title: Jonathan Borwein dies at 65
pages: 109--124
day: 2
month: aug
monthnumber: 8
year: 2016
bibdate: Tue Aug 16 08:21:38 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.16 08:21:38 ???
URL: https://experimentalmath.info/blog/2016/08/jonathan-borwein-dies-at-65/
acknowledgement: ack-nhfb
howpublished: Math Drudge
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: David H. Bailey
rawtitle: {Jonathan Borwein} dies at 65
ORCID: Bailey, David H./0000-0002-7574-8342; Borwein, Jonathan/0000-0002-1263-0646
entry:
@Misc{Bailey:2016:JBD,
  author =       "David H. Bailey",
  title =        "{Jonathan Borwein} dies at 65",
  howpublished = "Math Drudge",
  day =          "2",
  month =        aug,
  year =         "2016",
  bibdate =      "Tue Aug 16 08:21:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "https://experimentalmath.info/blog/2016/08/jonathan-borwein-dies-at-65/",
  acknowledgement = ack-nhfb,
  ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
                 Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Bailey:2016:JMB
author: David H. Bailey
title: Jonathan M. Borwein's Extraordinary Mathematical Career
journal: j-CMS-NOTES
volume: 48
number: 6
pages: 14--15
month: dec
monthnumber: 12
year: 2016
ISSN: 0045-5164 OR 00455164
ISSNL: 0045-5164 OR 00455164
bibdate: Sat Jan 07 11:42:46 2017
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2017.01.07 11:42:46 ???
URL: http://cms.math.ca/notes/v48/n6/Notesv48n6.pdf; http:www.jonborwein.org/jmbpapers/
fjournal: Canadian Mathematical Society Notes
acknowledgement: ack-nhfb
journalURL: https://cms.math.ca/notes
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: David H. Bailey
rawtitle: {Jonathan M. Borwein}'s Extraordinary Mathematical Career
ORCID: Bailey, David H./0000-0002-7574-8342; Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Bailey:2016:JMB,
  author =       "David H. Bailey",
  title =        "{Jonathan M. Borwein}'s Extraordinary Mathematical
                 Career",
  journal =      j-CMS-NOTES,
  volume =       "48",
  number =       "6",
  pages =        "14--15",
  month =        dec,
  year =         "2016",
  ISSN =         "0045-5164",
  ISSN-L =       "0045-5164",
  bibdate =      "Sat Jan 07 11:42:46 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://cms.math.ca/notes/v48/n6/Notesv48n6.pdf;
                 http:www.jonborwein.org/jmbpapers/",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Mathematical Society Notes",
  journal-URL =  "https://cms.math.ca/notes",
  ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
                 Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: misc
filename: borwein-jonathan-m.bib
label: Breen:2016:DBJ
author: Mike Breen and Annette Emerson
pages: 14--15
day: 2
month: dec
monthnumber: 12
year: 2016
bibdate: Fri Dec 02 18:00:54 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.12.02 18:00:54 ???
URL: http://www.ams.org/news?news_id=3232
acknowledgement: ack-nhfb
howpublished: AMS press release.
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Mike Breen and Annette Emerson
ORCID: Borwein, Jonathan/0000-0002-1263-0646
title:
David Bailey, Jonathan Borwein, Andrew Mattingly, and Glenn Wightwick to Receive 2017 AMS Conant Prize

rawtitle:
{David Bailey}, {Jonathan Borwein}, {Andrew Mattingly}, and {Glenn Wightwick} to Receive {2017 AMS Conant Prize}

entry:
@Misc{Breen:2016:DBJ,
  author =       "Mike Breen and Annette Emerson",
  title =        "{David Bailey}, {Jonathan Borwein}, {Andrew
                 Mattingly}, and {Glenn Wightwick} to Receive {2017 AMS
                 Conant Prize}",
  howpublished = "AMS press release.",
  day =          "2",
  month =        dec,
  year =         "2016",
  bibdate =      "Fri Dec 02 18:00:54 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://www.ams.org/news?news_id=3232",
  acknowledgement = ack-nhfb,
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Campbell:2016:LEJ
author: Christiane Rousseau Eddy Campbell and Graham P. Wright
title: Letter to the Editor: Jonathan Borwein and the Canadian Mathematical Society
journal: j-CMS-NOTES
volume: 48
number: 6
pages: 21--21
month: dec
monthnumber: 12
year: 2016
ISSN: 0045-5164 OR 00455164
ISSNL: 0045-5164 OR 00455164
bibdate: Sat Jan 07 11:42:46 2017
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2017.01.07 11:42:46 ???
URL: http://cms.math.ca/notes/v48/n6/Notesv48n6.pdf
fjournal: Canadian Mathematical Society Notes
acknowledgement: ack-nhfb
journalURL: https://cms.math.ca/notes
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Christiane Rousseau Eddy Campbell and Graham P. Wright
rawtitle: Letter to the {Editor}: {Jonathan Borwein} and the {Canadian Mathematical Society}
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Campbell:2016:LEJ,
  author =       "Christiane Rousseau Eddy Campbell and Graham P.
                 Wright",
  title =        "Letter to the {Editor}: {Jonathan Borwein} and the
                 {Canadian Mathematical Society}",
  journal =      j-CMS-NOTES,
  volume =       "48",
  number =       "6",
  pages =        "21--21",
  month =        dec,
  year =         "2016",
  ISSN =         "0045-5164",
  ISSN-L =       "0045-5164",
  bibdate =      "Sat Jan 07 11:42:46 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://cms.math.ca/notes/v48/n6/Notesv48n6.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Mathematical Society Notes",
  journal-URL =  "https://cms.math.ca/notes",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Campbell:2016:RUN
author: Alexander Campbell
journal: Risk.net
pages: ??--??
day: 20
month: may
monthnumber: 5
year: 2016
bibdate: Tue Aug 23 09:50:22 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.23 09:50:22 ???
URL: http://www.risk.net/risk/news/2458806/research-uncovers-new-sources-of-financial-model-risk
acknowledgement: ack-nhfb
journalURL: http://www.risk.net/category/risk-management
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Alexander Campbell
title:
Research uncovers new sources of financial model risk: Past performance of financial models is no guarantee of future success, two forthcoming papers suggest

rawtitle:
Research uncovers new sources of financial model risk: Past performance of financial models is no guarantee of future success, two forthcoming papers suggest

entry:
@Article{Campbell:2016:RUN,
  author =       "Alexander Campbell",
  title =        "Research uncovers new sources of financial model risk:
                 Past performance of financial models is no guarantee of
                 future success, two forthcoming papers suggest",
  journal =      "Risk.net",
  volume =       "??",
  number =       "??",
  pages =        "??--??",
  day =          "20",
  month =        may,
  year =         "2016",
  bibdate =      "Tue Aug 23 09:50:22 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://www.risk.net/risk/news/2458806/research-uncovers-new-sources-of-financial-model-risk",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://www.risk.net/category/risk-management",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Chapman:2016:LEJ
author: Scott T. Chapman
title: A Letter From the Editor: Jonathan M. Borwein (1951--2016)
journal: j-AMER-MATH-MONTHLY
volume: 123
number: 9
pages: 847--848
month: nov
monthnumber: 11
year: 2016
CODEN: AMMYAE
DOI: https://doi.org/10.4169/amer.math.monthly.123.9.847
ISSN: 0002-9890 (print), 1930-0972 (electronic) OR 00029890 (print), 19300972 (electronic)
ISSNL: 0002-9890 OR 00029890
bibdate: Tue Nov 8 09:04:47 MST 2016
bibtimestamp: 2016.11.08 09:04:47 MST
URL: https://www.jstor.org/stable/10.4169/amer.math.monthly.123.9.847
fjournal: American Mathematical Monthly
acknowledgement: ack-nhfb
journalURL: https://www.jstor.org/journals/00029890.html
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Scott T. Chapman
rawtitle: A Letter From the {Editor}: {Jonathan M. Borwein} (1951--2016)
ORCID: Borwein, Jonathan/0000-0002-1263-0646
bibsource:
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly2010.bib

entry:
@Article{Chapman:2016:LEJ,
  author =       "Scott T. Chapman",
  title =        "A Letter From the {Editor}: {Jonathan M. Borwein}
                 (1951--2016)",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "123",
  number =       "9",
  pages =        "847--848",
  month =        nov,
  year =         "2016",
  CODEN =        "AMMYAE",
  DOI =          "https://doi.org/10.4169/amer.math.monthly.123.9.847",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Tue Nov 8 09:04:47 MST 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/amermathmonthly2010.bib",
  URL =          "https://www.jstor.org/stable/10.4169/amer.math.monthly.123.9.847",
  acknowledgement = ack-nhfb,
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "https://www.jstor.org/journals/00029890.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Cohn:2016:SPP
author: Henry Cohn and Abhinav Kumar and Stephen D. Miller and Danylo Radchenko and Maryna Viazovska
title: The sphere packing problem in dimension $ 24 $
journal: arxiv.org
pages: 1--12
day: 21
month: mar
monthnumber: 3
year: 2016
bibdate: Sat Apr 02 06:35:47 2016
bibtimestamp: 2016.04.02 06:35:47 ???
URL: http://arxiv.org/abs/1603.06518
acknowledgement: ack-nhfb
rawauthor: Henry Cohn and Abhinav Kumar and Stephen D. Miller and Danylo Radchenko and Maryna Viazovska
rawtitle: The sphere packing problem in dimension $ 24 $
bibsource:
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; https://www.math.utah.edu/pub/tex/bib/kepler.bib

entry:
@Article{Cohn:2016:SPP,
  author =       "Henry Cohn and Abhinav Kumar and Stephen D. Miller and
                 Danylo Radchenko and Maryna Viazovska",
  title =        "The sphere packing problem in dimension $ 24 $",
  journal =      "arxiv.org",
  volume =       "??",
  number =       "??",
  pages =        "1--12",
  day =          "21",
  month =        mar,
  year =         "2016",
  bibdate =      "Sat Apr 02 06:35:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://arxiv.org/abs/1603.06518",
  acknowledgement = ack-nhfb,
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Dai:2016:BBC
author: YuHong Dai and CaiXia Kou
title: A Barzilai--Borwein conjugate gradient method
journal: j-SCI-CHINA-MATH
volume: 59
number: 8
pages: 1511--1524
month: jul
monthnumber: 7
year: 2016
DOI: https://doi.org/10.1007/s11425-016-0279-2
ISSN: 1674-7283 (print), 1869-1862 (electronic) OR 16747283 (print), 18691862 (electronic)
ISSNL: 1869-1862 OR 18691862
MRclass: 49M37 (65K05 90C30)
MRnumber: 3528500
bibdate: Fri Feb 9 09:25:58 2018
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2018.02.09 09:25:58 ???
fjournal: Science China. Mathematics
acknowledgement: ack-nhfb
journalURL: http://link.springer.com/journal/11425
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: YuHong Dai and CaiXia Kou
rawtitle: A {Barzilai--Borwein} conjugate gradient method
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Dai:2016:BBC,
  author =       "YuHong Dai and CaiXia Kou",
  title =        "A {Barzilai--Borwein} conjugate gradient method",
  journal =      j-SCI-CHINA-MATH,
  volume =       "59",
  number =       "8",
  pages =        "1511--1524",
  month =        jul,
  year =         "2016",
  DOI =          "https://doi.org/10.1007/s11425-016-0279-2",
  ISSN =         "1674-7283 (print), 1869-1862 (electronic)",
  ISSN-L =       "1869-1862",
  MRclass =      "49M37 (65K05 90C30)",
  MRnumber =     "3528500",
  bibdate =      "Fri Feb 9 09:25:58 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Science China. Mathematics",
  journal-URL =  "http://link.springer.com/journal/11425",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: inproceedings
filename: borwein-jonathan-m.bib
label: Galicki:2016:CAB
author: Aleksander Galicki and Andre Nies
editor: Arnold Beckmann and Laurent Bienvenu and Natassa Jonoska
title: A Computational Approach to the Borwein--Ditor Theorem
volume: 9709
publisher: pub-SV
address: pub-SV:adr
pages: 99--104
year: 2016
DOI: https://doi.org/10.1007/978-3-319-40189-8_10
bibdate: Fri Feb 9 09:25:58 2018
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2018.02.09 09:25:58 ???
series: ser-LNCS
acknowledgement: ack-nhfb
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Aleksander Galicki and Andr{\'e} Nies
raweditor: Arnold Beckmann and Laurent Bienvenu and Natas{\v{s}}a Jonoska
rawtitle: A Computational Approach to the {Borwein--Ditor} Theorem
ORCID: Borwein, Jonathan/0000-0002-1263-0646
booktitle:
Pursuit of the Universal: 12th Conference on Computability in Europe, CiE 2016, Paris, France, June 27--July 1, 2016, Proceedings

rawbooktitle:
Pursuit of the Universal: {12th Conference on Computability in Europe, CiE 2016, Paris, France, June 27--July 1, 2016, Proceedings}

entry:
@InProceedings{Galicki:2016:CAB,
  author =       "Aleksander Galicki and Andr{\'e} Nies",
  editor =       "Arnold Beckmann and Laurent Bienvenu and Natas{\v{s}}a
                 Jonoska",
  booktitle =    "Pursuit of the Universal: {12th Conference on
                 Computability in Europe, CiE 2016, Paris, France, June
                 27--July 1, 2016, Proceedings}",
  title =        "A Computational Approach to the {Borwein--Ditor}
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  volume =       "9709",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "99--104",
  year =         "2016",
  DOI =          "https://doi.org/10.1007/978-3-319-40189-8_10",
  bibdate =      "Fri Feb 9 09:25:58 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  series =       ser-LNCS,
  acknowledgement = ack-nhfb,
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Guillera:2016:NPB
author: Jesus Guillera
title: New proofs of Borwein-type algorithms for Pi
journal: j-INTEGRAL-TRANSFORMS-SPEC-FUNCT
volume: 27
number: 10
pages: 775--782
month: jun
monthnumber: 6
year: 2016
DOI: https://doi.org/10.1080/10652469.2016.1200573
ISSN: 1065-2469 (print), 1476-8291 (electronic) OR 10652469 (print), 14768291 (electronic)
ISSNL: 1065-2469 OR 10652469
bibdate: Fri Feb 9 09:25:58 2018
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2018.02.09 09:25:58 ???
fjournal: Integral Transforms and Special Functions
acknowledgement: ack-nhfb
journalURL: http://www.tandfonline.com/loi/gitr20
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Jes{\'u}s Guillera
rawtitle: New proofs of {Borwein}-type algorithms for Pi
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Guillera:2016:NPB,
  author =       "Jes{\'u}s Guillera",
  title =        "New proofs of {Borwein}-type algorithms for Pi",
  journal =      j-INTEGRAL-TRANSFORMS-SPEC-FUNCT,
  volume =       "27",
  number =       "10",
  pages =        "775--782",
  month =        jun,
  year =         "2016",
  CODEN =        "????",
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  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Huang:2016:SPC
author: Yakui Huang and Hongwei Liu and Tengteng Yu
title: Smoothing projected cyclic Barzilai--Borwein method for stochastic linear complementarity problems
journal: j-INT-J-COMPUT-MATH
volume: 93
number: 7
pages: 1188--1199
year: 2016
CODEN: IJCMAT
DOI: https://doi.org/10.1080/00207160.2015.1040780
ISSN: 0020-7160 OR 00207160
ISSNL: 0020-7160 OR 00207160
MRclass: 90C15 (65K15 90C33)
MRnumber: 3494016
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
fjournal: International Journal of Computer Mathematics
acknowledgement: ack-nhfb
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Yakui Huang and Hongwei Liu and Tengteng Yu
ORCID: Borwein, Jonathan/0000-0002-1263-0646
rawtitle:
Smoothing projected cyclic {Barzilai--Borwein} method for stochastic linear complementarity problems

entry:
@Article{Huang:2016:SPC,
  author =       "Yakui Huang and Hongwei Liu and Tengteng Yu",
  title =        "Smoothing projected cyclic {Barzilai--Borwein} method
                 for stochastic linear complementarity problems",
  journal =      j-INT-J-COMPUT-MATH,
  volume =       "93",
  number =       "7",
  pages =        "1188--1199",
  year =         "2016",
  CODEN =        "IJCMAT",
  DOI =          "https://doi.org/10.1080/00207160.2015.1040780",
  ISSN =         "0020-7160",
  ISSN-L =       "0020-7160",
  MRclass =      "90C15 (65K15 90C33)",
  MRnumber =     "3494016",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal of Computer Mathematics",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Kortenkamp:2016:JMB
author: Ulrich Kortenkamp and John Monaghan and Luc Trouche
journal: j-EDUC-STUD-MATH
volume: 93
number: 2
pages: 131--136
month: oct
monthnumber: 10
year: 2016
CODEN: EDSMAN
DOI: https://doi.org/10.1007/s10649-016-9729-0
ISSN: 0013-1954 (print), 1573-0816 (electronic) OR 00131954 (print), 15730816 (electronic)
ISSNL: 0013-1954 OR 00131954
bibdate: Tue Jan 3 07:42:05 2017
bibtimestamp: 2017.01.03 07:42:05 ???
URL: http://link.springer.com/accesspage/article/10.1007/s10649-016-9729-0
fjournal: Educational Studies in Mathematics
acknowledgement: ack-nhfb
journalURL: http://link.springer.com/journal/10649
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Ulrich Kortenkamp and John Monaghan and Luc Trouche
ORCID: Borwein, Jonathan/0000-0002-1263-0646
title:
Jonathan M. Borwein (1951--2016): exploring, experiencing and experimenting in mathematics --- an inspiring journey in mathematics

bibsource:
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; https://www.math.utah.edu/pub/tex/bib/educstudmath.bib

rawtitle:
{Jonathan M. Borwein (1951--2016)}: exploring, experiencing and experimenting in mathematics --- an inspiring journey in mathematics

entry:
@Article{Kortenkamp:2016:JMB,
  author =       "Ulrich Kortenkamp and John Monaghan and Luc Trouche",
  title =        "{Jonathan M. Borwein (1951--2016)}: exploring,
                 experiencing and experimenting in mathematics --- an
                 inspiring journey in mathematics",
  journal =      j-EDUC-STUD-MATH,
  volume =       "93",
  number =       "2",
  pages =        "131--136",
  month =        oct,
  year =         "2016",
  CODEN =        "EDSMAN",
  DOI =          "https://doi.org/10.1007/s10649-016-9729-0",
  ISSN =         "0013-1954 (print), 1573-0816 (electronic)",
  ISSN-L =       "0013-1954",
  bibdate =      "Tue Jan 3 07:42:05 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/educstudmath.bib",
  URL =          "http://link.springer.com/accesspage/article/10.1007/s10649-016-9729-0",
  acknowledgement = ack-nhfb,
  fjournal =     "Educational Studies in Mathematics",
  journal-URL =  "http://link.springer.com/journal/10649",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Krejic:2016:BBM
author: Natasa Krejic and Natasa Krklec Jerinkic and Sanja Rapajic
title: Barzilai--Borwein method with variable sample size for stochastic linear complementarity problems
journal: j-OPTIMIZATION
volume: 65
number: 2
pages: 479--499
year: 2016
CODEN: OPTZDQ
DOI: https://doi.org/10.1080/02331934.2015.1062008
ISSN: 0233-1934, 0323-3898 OR 02331934, 03233898
ISSNL: 0233-1934 OR 02331934
MRclass: 90C33 (65K15 90C15)
MRnumber: 3438121
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
URL: http://arxiv.org/abs/1312.7323
fjournal: Optimization. A Journal of Mathematical Programming and Operations Research
acknowledgement: ack-nhfb
journalURL: http://www.tandfonline.com/loi/gopt20
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Nata{\v{s}}a Kreji{\'c} and Nata{\v{s}}a Krklec Jerinki{\'c} and Sanja Rapaji{\'c}
rawtitle: {Barzilai--Borwein} method with variable sample size for stochastic linear complementarity problems
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Krejic:2016:BBM,
  author =       "Nata{\v{s}}a Kreji{\'c} and Nata{\v{s}}a Krklec
                 Jerinki{\'c} and Sanja Rapaji{\'c}",
  title =        "{Barzilai--Borwein} method with variable sample size
                 for stochastic linear complementarity problems",
  journal =      j-OPTIMIZATION,
  volume =       "65",
  number =       "2",
  pages =        "479--499",
  year =         "2016",
  CODEN =        "OPTZDQ",
  DOI =          "https://doi.org/10.1080/02331934.2015.1062008",
  ISSN =         "0233-1934, 0323-3898",
  ISSN-L =       "0233-1934",
  MRclass =      "90C33 (65K15 90C15)",
  MRnumber =     "3438121",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://arxiv.org/abs/1312.7323",
  acknowledgement = ack-nhfb,
  fjournal =     "Optimization. A Journal of Mathematical Programming
                 and Operations Research",
  journal-URL =  "http://www.tandfonline.com/loi/gopt20",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Kruger:2016:BPV
author: A. Y. Kruger and S. Plubtieng and T. Seangwattana
title: Borwein--Preiss variational principle revisited
journal: j-J-MATH-ANAL-APPL
volume: 435
number: 2
pages: 1183--1193
year: 2016
CODEN: JMANAK
DOI: https://doi.org/10.1016/j.jmaa.2015.11.009
ISSN: 0022-247X (print), 1096-0813 (electronic) OR 0022247X (print), 10960813 (electronic)
ISSNL: 0022-247X OR 0022247X
MRclass: 49J53 (49J50 58E30)
MRnumber: 3429635
bibdate: Thu Aug 11 11:22:39 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 11:22:39 ???
URL: http://www.sciencedirect.com/science/article/pii/S0022247X15010343
fjournal: Journal of Mathematical Analysis and Applications
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/0022247X
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: A. Y. Kruger and S. Plubtieng and T. Seangwattana
rawtitle: {Borwein--Preiss} variational principle revisited
ORCID: Borwein, Jonathan/0000-0002-1263-0646
abstract:
In this article, we refine and slightly strengthen the metric space version of the Borwein--Preiss variational principle due to Li and Shi (2000) [12], clarify the assumptions and conclusions of their Theorem 1 as well as Theorem 2.5.2 in Borwein and Zhu (2005) [4] and streamline the proofs. Our main result, Theorem 3 is formulated in the metric space setting. When reduced to Banach spaces (Corollary 9), it extends and strengthens the smooth variational principle established in Borwein and Preiss (1987) [3] along several directions.

keywords:
Borwein Preiss variational principle; Gauge-type function; Perturbation; Smooth variational principle

rawabstract:
In this article, we refine and slightly strengthen the metric space version of the Borwein--Preiss variational principle due to Li and Shi (2000) [12], clarify the assumptions and conclusions of their Theorem 1 as well as Theorem 2.5.2 in Borwein and Zhu (2005) [4] and streamline the proofs. Our main result, Theorem 3 is formulated in the metric space setting. When reduced to Banach spaces (Corollary 9), it extends and strengthens the smooth variational principle established in Borwein and Preiss (1987) [3] along several directions.

entry:
@Article{Kruger:2016:BPV,
  author =       "A. Y. Kruger and S. Plubtieng and T. Seangwattana",
  title =        "{Borwein--Preiss} variational principle revisited",
  journal =      j-J-MATH-ANAL-APPL,
  volume =       "435",
  number =       "2",
  pages =        "1183--1193",
  year =         "2016",
  CODEN =        "JMANAK",
  DOI =          "https://doi.org/10.1016/j.jmaa.2015.11.009",
  ISSN =         "0022-247X (print), 1096-0813 (electronic)",
  ISSN-L =       "0022-247X",
  MRclass =      "49J53 (49J50 58E30)",
  MRnumber =     "3429635",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0022247X15010343",
  abstract =     "In this article, we refine and slightly strengthen the
                 metric space version of the Borwein--Preiss variational
                 principle due to Li and Shi (2000) [12], clarify the
                 assumptions and conclusions of their Theorem 1 as well
                 as Theorem 2.5.2 in Borwein and Zhu (2005) [4] and
                 streamline the proofs. Our main result, Theorem 3 is
                 formulated in the metric space setting. When reduced to
                 Banach spaces (Corollary 9), it extends and strengthens
                 the smooth variational principle established in Borwein
                 and Preiss (1987) [3] along several directions.",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Mathematical Analysis and Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/0022247X",
  keywords =     "Borwein Preiss variational principle; Gauge-type
                 function; Perturbation; Smooth variational principle",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Marchant:2016:PJM
author: T. R. Marchant and G. A. Willis
title: Professor Jonathan M. Borwein
journal: j-J-AUSTRALIAN-MATH-SOC
volume: 101
number: 03
pages: 289
month: nov
monthnumber: 11
year: 2016
CODEN: JAUMAX
DOI: https://doi.org/10.1017/s1446788716000641
ISSN: 0004-9735 (print), 2059-9234 (electronic) OR 00049735 (print), 20599234 (electronic)
ISSNL: 0004-9735 OR 00049735
bibdate: Fri Feb 9 09:25:58 2018
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2018.02.09 09:25:58 ???
fjournal: Journal of the Australian Mathematical Society
acknowledgement: ack-nhfb
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: T. R. Marchant and G. A. Willis
rawtitle: {Professor Jonathan M. Borwein}
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Marchant:2016:PJM,
  author =       "T. R. Marchant and G. A. Willis",
  title =        "{Professor Jonathan M. Borwein}",
  journal =      j-J-AUSTRALIAN-MATH-SOC,
  volume =       "101",
  number =       "03",
  pages =        "289",
  month =        nov,
  year =         "2016",
  CODEN =        "JAUMAX",
  DOI =          "https://doi.org/10.1017/s1446788716000641",
  ISSN =         "0004-9735 (print), 2059-9234 (electronic)",
  ISSN-L =       "0004-9735",
  bibdate =      "Fri Feb 9 09:25:58 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of the Australian Mathematical Society",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Morovati:2016:BBM
author: Vahid Morovati and Latif Pourkarimi and Hadi Basirzadeh
title: Barzilai and Borwein's method for multiobjective optimization problems
journal: j-NUMER-ALGORITHMS
volume: 72
number: 3
pages: 539--604
month: jul
monthnumber: 7
year: 2016
CODEN: NUALEG
DOI: https://doi.org/10.1007/s11075-015-0058-7
ISSN: 1017-1398 (print), 1572-9265 (electronic) OR 10171398 (print), 15729265 (electronic)
ISSNL: 1017-1398 OR 10171398
bibdate: Tue Sep 20 10:57:46 MDT 2016
bibtimestamp: 2016.09.20 10:57:46 MDT
URL: http://link.springer.com/article/10.1007/s11075-015-0058-7
fjournal: Numerical Algorithms
acknowledgement: ack-nhfb
journalURL: http://link.springer.com/journal/11075
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Vahid Morovati and Latif Pourkarimi and Hadi Basirzadeh
rawtitle: {Barzilai} and {Borwein}'s method for multiobjective optimization problems
ORCID: Borwein, Jonathan/0000-0002-1263-0646
bibsource:
http://link.springer.com/journal/11075/72/3; https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib

entry:
@Article{Morovati:2016:BBM,
  author =       "Vahid Morovati and Latif Pourkarimi and Hadi
                 Basirzadeh",
  title =        "{Barzilai} and {Borwein}'s method for multiobjective
                 optimization problems",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "72",
  number =       "3",
  pages =        "539--604",
  month =        jul,
  year =         "2016",
  CODEN =        "NUALEG",
  DOI =          "https://doi.org/10.1007/s11075-015-0058-7",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  bibdate =      "Tue Sep 20 10:57:46 MDT 2016",
  bibsource =    "http://link.springer.com/journal/11075/72/3;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
  URL =          "http://link.springer.com/article/10.1007/s11075-015-0058-7",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Shareef:2016:NCG
author: Salah Shareef and Alaa Ibrahim
title: A New Conjugate Gradient for Unconstrained Optimization Based on Step Size of Barzilai and Borwein
journal: Science Journal of University of Zakho
volume: 4
number: 1
pages: 104--114
month: jun
monthnumber: 6
year: 2016
DOI: https://doi.org/10.25271/2016.4.1.29
ISSN: 2410-7549 (print), 2414-6943 (electronic) OR 24107549 (print), 24146943 (electronic)
ISSNL: 2410-7549 OR 24107549
bibdate: Fri Feb 9 09:25:58 2018
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2018.02.09 09:25:58 ???
acknowledgement: ack-nhfb
journalURL: http://sjuoz.uoz.edu.krd/
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Salah Shareef and Alaa Ibrahim
ORCID: Borwein, Jonathan/0000-0002-1263-0646
rawtitle:
A New Conjugate Gradient for Unconstrained Optimization Based on Step Size of {Barzilai} and {Borwein}

entry:
@Article{Shareef:2016:NCG,
  author =       "Salah Shareef and Alaa Ibrahim",
  title =        "A New Conjugate Gradient for Unconstrained
                 Optimization Based on Step Size of {Barzilai} and
                 {Borwein}",
  journal =      "Science Journal of University of Zakho",
  volume =       "4",
  number =       "1",
  pages =        "104--114",
  month =        jun,
  year =         "2016",
  DOI =          "https://doi.org/10.25271/2016.4.1.29",
  ISSN =         "2410-7549 (print), 2414-6943 (electronic)",
  ISSN-L =       "2410-7549",
  bibdate =      "Fri Feb 9 09:25:58 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://sjuoz.uoz.edu.krd/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Thera:2016:HSH
author: Michel Thera
title: Homo Sapiens, Homo Ludens
journal: j-J-OPT-THEORY-APPL
volume: 172
pages: 1--8
day: 29
month: dec
monthnumber: 12
year: 2016
CODEN: JOTABN
DOI: https://doi.org/10.1007/s10957-016-1044-5
ISSN: 0022-3239 (print), 1573-2878 (electronic) OR 00223239 (print), 15732878 (electronic)
ISSNL: 0022-3239 OR 00223239
bibdate: Wed May 2 09:56:17 2018
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2018.05.02 09:56:17 ???
note: Paper in memory of Jonathan Borwein.
fjournal: Journal of Optimization Theory and Applications
keywords: Homo Sapiens, Homo Ludens (Latin) == Thinking Man, Playing Man (English); Jonathan M. Borwein
remark: Check volume/pages assignment? Not yet clear from publisher Web site on 02 January 2017.
acknowledgement: ack-nhfb
journalURL: http://link.springer.com/journal/volumesAndIssues/10957
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Michel Th{\'e}ra
rawnote: Paper in memory of Jonathan Borwein.
rawtitle: Homo Sapiens, Homo Ludens
entry:
@Article{Thera:2016:HSH,
  author =       "Michel Th{\'e}ra",
  title =        "Homo Sapiens, Homo Ludens",
  journal =      j-J-OPT-THEORY-APPL,
  volume =       "172",
  pages =        "1--8",
  day =          "29",
  month =        dec,
  year =         "2016",
  CODEN =        "JOTABN",
  DOI =          "https://doi.org/10.1007/s10957-016-1044-5",
  ISSN =         "0022-3239 (print), 1573-2878 (electronic)",
  ISSN-L =       "0022-3239",
  bibdate =      "Wed May 2 09:56:17 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Paper in memory of Jonathan Borwein.",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Optimization Theory and Applications",
  journal-URL =  "http://link.springer.com/journal/volumesAndIssues/10957",
  keywords =     "Homo Sapiens, Homo Ludens (Latin) == Thinking Man,
                 Playing Man (English); Jonathan M. Borwein",
  remark =       "Check volume/pages assignment? Not yet clear from
                 publisher Web site on 02 January 2017.",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Viazovska:2016:SPP
author: Maryna Viazovska
title: The sphere packing problem in dimension $8$
journal: arxiv.org
pages: 1--22
day: 14
month: mar
monthnumber: 3
year: 2016
bibdate: Sat Apr 02 06:35:47 2016
bibtimestamp: 2016.04.02 06:35:47 ???
URL: http://arxiv.org/abs/1603.04246
acknowledgement: ack-nhfb
rawauthor: Maryna Viazovska
rawtitle: The sphere packing problem in dimension $8$
entry:
@Article{Viazovska:2016:SPP,
  author =       "Maryna Viazovska",
  title =        "The sphere packing problem in dimension $8$",
  journal =      "arxiv.org",
  volume =       "??",
  number =       "??",
  pages =        "1--22",
  day =          "14",
  month =        mar,
  year =         "2016",
  bibdate =      "Sat Apr 02 06:35:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://arxiv.org/abs/1603.04246",
  acknowledgement = ack-nhfb,
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Wu:2016:BBL
author: Lei Wu and Zhe Sun and Dong-Hui Li
journal: j-J-SCI-COMPUT
volume: 67
number: 2
pages: 581--601
month: may
monthnumber: 5
year: 2016
CODEN: JSCOEB
DOI: https://doi.org/10.1007/s10915-015-0094-4
ISSN: 0885-7474 (print), 1573-7691 (electronic) OR 08857474 (print), 15737691 (electronic)
ISSNL: 0885-7474 OR 08857474
bibdate: Mon May 30 08:54:46 MDT 2016
bibtimestamp: 2016.05.30 08:54:46 MDT
note: See cite Barzilai:1988:TPS for the original Barzilai--Borwein work.
fjournal: Journal of Scientific Computing
acknowledgement: ack-nhfb
journalURL: http://link.springer.com/journal/10915
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Lei Wu and Zhe Sun and Dong-Hui Li
rawnote: See \cite{Barzilai:1988:TPS} for the original Barzilai--Borwein work.
ORCID: Borwein, Jonathan/0000-0002-1263-0646
title:
A Barzilai--Borwein-Like Iterative Half Thresholding Algorithm for the $ L_1 / 2 $ Regularized Problem

bibsource:
http://link.springer.com/journal/10915; http://link.springer.com/journal/10915/67/2; https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; https://www.math.utah.edu/pub/tex/bib/jscicomput.bib

URL:
http://link.springer.com/article/10.1007/s10915-015-0094-4; http://link.springer.com/content/pdf/10.1007/s10915-015-0094-4.pdf

rawtitle:
A {Barzilai--Borwein}-Like Iterative Half Thresholding Algorithm for the {$ L_{1 / 2} $} Regularized Problem

entry:
@Article{Wu:2016:BBL,
  author =       "Lei Wu and Zhe Sun and Dong-Hui Li",
  title =        "A {Barzilai--Borwein}-Like Iterative Half Thresholding
                 Algorithm for the {$ L_{1 / 2} $} Regularized Problem",
  journal =      j-J-SCI-COMPUT,
  volume =       "67",
  number =       "2",
  pages =        "581--601",
  month =        may,
  year =         "2016",
  CODEN =        "JSCOEB",
  DOI =          "https://doi.org/10.1007/s10915-015-0094-4",
  ISSN =         "0885-7474 (print), 1573-7691 (electronic)",
  ISSN-L =       "0885-7474",
  bibdate =      "Mon May 30 08:54:46 MDT 2016",
  bibsource =    "http://link.springer.com/journal/10915;
                 http://link.springer.com/journal/10915/67/2;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/jscicomput.bib",
  note =         "See \cite{Barzilai:1988:TPS} for the original
                 Barzilai--Borwein work.",
  URL =          "http://link.springer.com/article/10.1007/s10915-015-0094-4;
                 http://link.springer.com/content/pdf/10.1007/s10915-015-0094-4.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Scientific Computing",
  journal-URL =  "http://link.springer.com/journal/10915",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Zhou:2016:NSM
author: QunYan Zhou and WenYu Sun and HongChao Zhang
journal: j-SCI-CHINA-MATH
volume: 59
number: 11
pages: 2265--2280
month: jul
monthnumber: 7
year: 2016
DOI: https://doi.org/10.1007/s11425-015-0734-2
ISSN: 1674-7283 (print), 1869-1862 (electronic) OR 16747283 (print), 18691862 (electronic)
ISSNL: 1869-1862 OR 18691862
bibdate: Fri Feb 9 09:25:58 2018
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2018.02.09 09:25:58 ???
fjournal: Science China. Mathematics
acknowledgement: ack-nhfb
journalURL: http://link.springer.com/journal/11425
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: QunYan Zhou and WenYu Sun and HongChao Zhang
ORCID: Borwein, Jonathan/0000-0002-1263-0646
title:
A new simple model trust-region method with generalized Barzilai--Borwein parameter for large-scale optimization

rawtitle:
A new simple model trust-region method with generalized {Barzilai--Borwein} parameter for large-scale optimization

entry:
@Article{Zhou:2016:NSM,
  author =       "QunYan Zhou and WenYu Sun and HongChao Zhang",
  title =        "A new simple model trust-region method with
                 generalized {Barzilai--Borwein} parameter for
                 large-scale optimization",
  journal =      j-SCI-CHINA-MATH,
  volume =       "59",
  number =       "11",
  pages =        "2265--2280",
  month =        jul,
  year =         "2016",
  DOI =          "https://doi.org/10.1007/s11425-015-0734-2",
  ISSN =         "1674-7283 (print), 1869-1862 (electronic)",
  ISSN-L =       "1869-1862",
  bibdate =      "Fri Feb 9 09:25:58 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Science China. Mathematics",
  journal-URL =  "http://link.springer.com/journal/11425",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: misc
filename: borwein-jonathan-m.bib
label: Bailey:2017:JBC
author: David H. Bailey
title: Jonathan Borwein Commemorative Conference[: 25--29 September 2017 in Newcastle, NSW, Australia]
pages: 2265--2280
day: 6
month: jun
monthnumber: 6
year: 2017
bibdate: Tue Jun 06 09:05:02 2017
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2017.06.06 09:05:02 ???
URL: http://mathscholar.org/jonathan-borwein-commemorative-conference
acknowledgement: ack-nhfb
howpublished: Web blog
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: David H. Bailey
rawtitle: {Jonathan Borwein} Commemorative Conference[: {25--29 September 2017 in Newcastle, NSW, Australia}]
ORCID: Bailey, David H./0000-0002-7574-8342; Borwein, Jonathan/0000-0002-1263-0646
entry:
@Misc{Bailey:2017:JBC,
  author =       "David H. Bailey",
  title =        "{Jonathan Borwein} Commemorative Conference[: {25--29
                 September 2017 in Newcastle, NSW, Australia}]",
  howpublished = "Web blog",
  day =          "6",
  month =        jun,
  year =         "2017",
  bibdate =      "Tue Jun 06 09:05:02 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
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  acknowledgement = ack-nhfb,
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  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
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}


bibtype: techreport
filename: borwein-jonathan-m.bib
label: Bailey:2017:JBEa
author: David H. Bailey
title: Jonathan Borwein: Experimental Mathematician
type: Report
institution: Department of Computer Science, University of California, Davis
address: Davis, CA 95616, USA
pages: 2265--2280
day: 10
month: jan
monthnumber: 1
year: 2017
DOI: https://doi.org/10.1080/10586458.2017.1284625
bibdate: Mon Feb 27 16:19:39 2017
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2017.02.27 16:19:39 ???
acknowledgement: ack-nhfb
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: David H. Bailey
rawtitle: {Jonathan Borwein}: Experimental Mathematician
ORCID: Bailey, David H./0000-0002-7574-8342; Borwein, Jonathan/0000-0002-1263-0646
URL:
http://www.davidhbailey.com/dhbpapers/dhb-jmb-em.pdf; http://www.tandfonline.com/doi/abs/10.1080/10586458.2017.1284625

abstract:
Jonathan M. Borwein unexpectedly died on 2 August 2016, in London, Ontario, Canada, where he had been visiting on leave from home institution, the University of Newcastle, Australia.par Since his death, the present author and Nelson H. F. Beebe of the University of Utah have been collecting Borwein's many published papers, books, reports and talks, as well as a number of articles written by others (such as book reviews) about Jon and his work. Our current catalog (available at http://www.jonborwein.org/jmbpapers/) lists 1745 items, and the list is certain to grow further. This includes over 500 published books, journal articles and refereed conference papers, a prodigious output for any scholar and especially for a research mathematician. And in an era when many mathematicians focus on a single specialty or subspecialty, Borwein did significant research in a wide range of fields, ranging from analytic number theory and optimization to biomedical imaging, math

rawabstract:
Jonathan M. Borwein unexpectedly died on 2 August 2016, in London, Ontario, Canada, where he had been visiting on leave from home institution, the University of Newcastle, Australia.\par Since his death, the present author and Nelson H. F. Beebe of the University of Utah have been collecting Borwein's many published papers, books, reports and talks, as well as a number of articles written by others (such as book reviews) about Jon and his work. Our current catalog (available at http://www.jonborwein.org/jmbpapers/) lists 1745 items, and the list is certain to grow further. This includes over 500 published books, journal articles and refereed conference papers, a prodigious output for any scholar and especially for a research mathematician. And in an era when many mathematicians focus on a single specialty or subspecialty, Borwein did significant research in a wide range of fields, ranging from analytic number theory and optimization to biomedical imaging, math

entry:
@TechReport{Bailey:2017:JBEa,
  author =       "David H. Bailey",
  title =        "{Jonathan Borwein}: Experimental Mathematician",
  type =         "Report",
  institution =  "Department of Computer Science, University of
                 California, Davis",
  address =      "Davis, CA 95616, USA",
  day =          "10",
  month =        jan,
  year =         "2017",
  DOI =          "https://doi.org/10.1080/10586458.2017.1284625",
  bibdate =      "Mon Feb 27 16:19:39 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://www.davidhbailey.com/dhbpapers/dhb-jmb-em.pdf;
                 http://www.tandfonline.com/doi/abs/10.1080/10586458.2017.1284625",
  abstract =     "Jonathan M. Borwein unexpectedly died on 2 August
                 2016, in London, Ontario, Canada, where he had been
                 visiting on leave from home institution, the University
                 of Newcastle, Australia.\par

                 Since his death, the present author and Nelson H. F.
                 Beebe of the University of Utah have been collecting
                 Borwein's many published papers, books, reports and
                 talks, as well as a number of articles written by
                 others (such as book reviews) about Jon and his work.
                 Our current catalog (available at
                 http://www.jonborwein.org/jmbpapers/) lists 1745 items,
                 and the list is certain to grow further. This includes
                 over 500 published books, journal articles and refereed
                 conference papers, a prodigious output for any scholar
                 and especially for a research mathematician. And in an
                 era when many mathematicians focus on a single
                 specialty or subspecialty, Borwein did significant
                 research in a wide range of fields, ranging from
                 analytic number theory and optimization to biomedical
                 imaging, math",
  acknowledgement = ack-nhfb,
  ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
                 Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
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}


bibtype: article
filename: borwein-jonathan-m.bib
label: Bailey:2017:JBEb
author: David H. Bailey
title: Jonathan Borwein: Experimental Mathematician
journal: j-EXP-MATH
volume: 26
number: 2
pages: 125--129
year: 2017
DOI: https://doi.org/10.1080/10586458.2017.1284625
ISSN: 1058-6458 (print), 1944-950X (electronic) OR 10586458 (print), 1944950X (electronic)
ISSNL: 1058-6458 OR 10586458
MRclass: 01A70; 11Y60; 11Y70
bibdate: Thu Mar 16 12:09:45 MDT 2017
bibtimestamp: 2017.03.16 12:09:45 MDT
URL: http://www.tandfonline.com/doi/full/10.1080/10586458.2017.1284625
fjournal: Experimental Mathematics
acknowledgement: ack-nhfb
journalURL: http://www.tandfonline.com/loi/uexm20
onlinedate: 27 February 2017
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: David H. Bailey
rawtitle: {Jonathan Borwein}: Experimental Mathematician
ORCID: Bailey, David H./0000-0002-7574-8342; Borwein, Jonathan/0000-0002-1263-0646
bibsource:
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; https://www.math.utah.edu/pub/tex/bib/expmath.bib; http://www.tandfonline.com/toc/uexm20/26/2

keywords:
continued fractions; high-precision computation; integer relation detection; Ising theory; Poisson equation

entry:
@Article{Bailey:2017:JBEb,
  author =       "David H. Bailey",
  title =        "{Jonathan Borwein}: Experimental Mathematician",
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  acknowledgement = ack-nhfb,
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  onlinedate =   "27 February 2017",
  ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
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  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
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}


bibtype: misc
filename: borwein-jonathan-m.bib
label: Bailey:2017:PCP
author: David H. Bailey
title: Pi and the collapse of peer review
pages: 125--129
day: 20
month: jul
monthnumber: 7
year: 2017
bibdate: Fri Sep 04 17:44:07 2020
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2020.09.04 17:44:07 ???
URL: https://mathscholar.org/2017/07/pi-and-the-collapse-of-peer-review/
keywords: Jonathan Borwein; Peter Borwein
acknowledgement: ack-nhfb
howpublished: MathScholar Web blog.
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: David H. Bailey
rawtitle: Pi and the collapse of peer review
ORCID: Bailey, David H./0000-0002-7574-8342; Borwein, Jonathan/0000-0002-1263-0646
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  author =       "David H. Bailey",
  title =        "Pi and the collapse of peer review",
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  month =        jul,
  year =         "2017",
  bibdate =      "Fri Sep 04 17:44:07 2020",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
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  acknowledgement = ack-nhfb,
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                 Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: misc
filename: borwein-jonathan-m.bib
label: Bailey:2017:RJB
author: David H. Bailey
title: Report on the Jon Borwein remembrance day meeting in Paris [10 February 2017]
pages: 125--129
day: 15
month: feb
monthnumber: 2
year: 2017
bibdate: Tue Jun 06 09:03:47 2017
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2017.06.06 09:03:47 ???
URL: http://jonborwein.org/2017/02/report-on-the-jon-borwein-remembrance-day-meeting-in-paris/
acknowledgement: ack-nhfb
howpublished: Web blog.
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: David H. Bailey
rawtitle: Report on the {Jon Borwein} remembrance day meeting in {Paris} [{10 February 2017}]
ORCID: Bailey, David H./0000-0002-7574-8342; Borwein, Jonathan/0000-0002-1263-0646
entry:
@Misc{Bailey:2017:RJB,
  author =       "David H. Bailey",
  title =        "Report on the {Jon Borwein} remembrance day meeting in
                 {Paris} [{10 February 2017}]",
  howpublished = "Web blog.",
  day =          "15",
  month =        feb,
  year =         "2017",
  bibdate =      "Tue Jun 06 09:03:47 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://jonborwein.org/2017/02/report-on-the-jon-borwein-remembrance-day-meeting-in-paris/",
  acknowledgement = ack-nhfb,
  ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
                 Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
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}


bibtype: inproceedings
filename: borwein-jonathan-m.bib
label: Bao:2017:NPBa
author: Yanyan Bao and Hongwei Liu
booktitle: 2017 2nd International Conference on Image, Vision and Computing (ICIVC)
title: Nonmonotone Projected Barzilai--Borwein Method for Compressed Sensing
publisher: pub-IEEE
address: pub-IEEE:adr
pages: 756--760
year: 2017
DOI: https://doi.org/10.1109/icivc.2017.7984656
bibdate: Fri Feb 9 09:25:58 2018
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2018.02.09 09:25:58 ???
acknowledgement: ack-nhfb
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Yanyan Bao and Hongwei Liu
rawbooktitle: 2017 2nd International Conference on Image, Vision and Computing ({ICIVC})
rawtitle: Nonmonotone Projected {Barzilai--Borwein} Method for Compressed Sensing
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@InProceedings{Bao:2017:NPBa,
  author =       "Yanyan Bao and Hongwei Liu",
  booktitle =    "2017 2nd International Conference on Image, Vision and
                 Computing ({ICIVC})",
  title =        "Nonmonotone Projected {Barzilai--Borwein} Method for
                 Compressed Sensing",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "756--760",
  year =         "2017",
  DOI =          "https://doi.org/10.1109/icivc.2017.7984656",
  bibdate =      "Fri Feb 9 09:25:58 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: inproceedings
filename: borwein-jonathan-m.bib
label: Bao:2017:NPBb
author: Yanyan Bao and Hongwei Liu
booktitle: 2017 International Conference on Smart Grid and Electrical Automation (ICSGEA)
title: Nonmonotone Projected Barzilai--Borwein Method for Compressed Sensing
publisher: pub-IEEE
address: pub-IEEE:adr
pages: 264--268
year: 2017
DOI: https://doi.org/10.1109/icsgea.2017.173
bibdate: Fri Feb 9 09:25:58 2018
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2018.02.09 09:25:58 ???
acknowledgement: ack-nhfb
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Yanyan Bao and Hongwei Liu
rawbooktitle: 2017 International Conference on Smart Grid and Electrical Automation ({ICSGEA})
rawtitle: Nonmonotone Projected {Barzilai--Borwein} Method for Compressed Sensing
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@InProceedings{Bao:2017:NPBb,
  author =       "Yanyan Bao and Hongwei Liu",
  booktitle =    "2017 International Conference on Smart Grid and
                 Electrical Automation ({ICSGEA})",
  title =        "Nonmonotone Projected {Barzilai--Borwein} Method for
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  publisher =    pub-IEEE,
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  pages =        "264--268",
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  DOI =          "https://doi.org/10.1109/icsgea.2017.173",
  bibdate =      "Fri Feb 9 09:25:58 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
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  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Belovas:2017:LTC
author: Igoris Belovas and Leonidas Sakalauskas
journal: j-COLLOQ-MATH
pages: 264--268
year: 2017
CODEN: CQMAAQ
DOI: https://doi.org/10.4064/cm7086-2-2017
ISSN: 0010-1354 (print), 1730-6302 (electronic) OR 00101354 (print), 17306302 (electronic)
ISSNL: 0010-1354 OR 00101354
bibdate: Fri Feb 9 09:25:58 2018
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2018.02.09 09:25:58 ???
fjournal: Colloquium Mathematicum
acknowledgement: ack-nhfb
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Igoris Belovas and Leonidas Sakalauskas
ORCID: Borwein, Jonathan/0000-0002-1263-0646
title:
Limit theorems for the coefficients of the modified Borwein method for the calculation of the Riemann zeta-function values

rawtitle:
Limit theorems for the coefficients of the modified {Borwein} method for the calculation of the {Riemann} zeta-function values

entry:
@Article{Belovas:2017:LTC,
  author =       "Igoris Belovas and Leonidas Sakalauskas",
  title =        "Limit theorems for the coefficients of the modified
                 {Borwein} method for the calculation of the {Riemann}
                 zeta-function values",
  journal =      j-COLLOQ-MATH,
  year =         "2017",
  CODEN =        "CQMAAQ",
  DOI =          "https://doi.org/10.4064/cm7086-2-2017",
  ISSN =         "0010-1354 (print), 1730-6302 (electronic)",
  ISSN-L =       "0010-1354",
  bibdate =      "Fri Feb 9 09:25:58 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Colloquium Mathematicum",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:2017:OJM
author: Judith Borwein and Naomi Borwein and Brailey Sims
title: Obituary: Jonathan M. Borwein FAAAS, FBAS, FAustMS, FAA, FAMS, FRSNSW 20 May 1951 to 2 August 2016
journal: j-AUSTRALIAN-MATH-SOC-GAZ
volume: 44
number: 5
pages: 289--293
month: nov
monthnumber: 11
year: 2017
ISSN: 0311-0729 (print), 1326-2297 (electronic) OR 03110729 (print), 13262297 (electronic)
ISSNL: 0311-0729 OR 03110729
MRclass: 01A70
MRnumber: 3727000
bibdate: Wed May 2 09:55:16 2018
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2018.05.02 09:55:16 ???
URL: http://www.austms.org.au/Publ/Gazette/2017/Nov17/ObitBorwein.pdf
fjournal: The Australian Mathematical Society. Gazette
acknowledgement: ack-nhfb
journalURL: http://www.austms.org.au/gazette
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Judith Borwein and Naomi Borwein and Brailey Sims
ORCID: Borwein, Jonathan/0000-0002-1263-0646
rawtitle:
Obituary: {Jonathan M. Borwein FAAAS, FBAS, FAustMS, FAA, FAMS, FRSNSW 20 May 1951 to 2 August 2016}

entry:
@Article{Borwein:2017:OJM,
  author =       "Judith Borwein and Naomi Borwein and Brailey Sims",
  title =        "Obituary: {Jonathan M. Borwein FAAAS, FBAS, FAustMS,
                 FAA, FAMS, FRSNSW 20 May 1951 to 2 August 2016}",
  journal =      j-AUSTRALIAN-MATH-SOC-GAZ,
  volume =       "44",
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  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: techreport
filename: borwein-jonathan-m.bib
label: Brent:2017:JBP
author: Richard P. Brent
title: Jonathan Borwein, Pi and the AGM
type: Talk slides
institution: Australian National University and CARMA, University of Newcastle
address: Canberra, ACT and Newcastle, NSW, Australia
pages: 76
day: 26
month: sep
monthnumber: 9
year: 2017
bibdate: Fri Sep 04 17:08:54 2020
bibtimestamp: 2020.09.04 17:08:54 ???
URL: https://carma.newcastle.edu.au/meetings/jbcc/abstracts/pdf/JBCC-Richard_Brent.pdf
acknowledgement: ack-nhfb
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Richard P. Brent
rawtitle: {Jonathan Borwein}, Pi and the {AGM}
ORCID: Borwein, Jonathan/0000-0002-1263-0646
abstract:
We consider some of Jon Borwein s contributions to the high-precision computation of $ pi $ and the elementary functions, with particular reference to the fascinating book booktitle Pi and the AGM(Wiley, 1987) by Jon and his brother Peter Borwein. Here ``AGM'' is the arithmetic-geometric mean, first studied by Euler, Gauss and Legendre. Because the AGM has second-order convergence, it can be combined with fast multiplication algorithms to give fast algorithms for the $n$-bit computation of $ pi $, and more generally the elementary functions. These algorithms run in ``almost linear' time $ O(M(n) log n)$, where $ M(n)$ is the time for $n$-bit multiplication. The talk will survey some of the results and algorithms, from the time of Archimedes to the present day, that were of interest to Jon. In several cases they were discovered or improved by him

rawabstract:
We consider some of Jon Borwein s contributions to the high-precision computation of $ \pi $ and the elementary functions, with particular reference to the fascinating book \booktitle{Pi and the AGM}(Wiley, 1987) by Jon and his brother Peter Borwein. Here ``AGM'' is the arithmetic-geometric mean, first studied by Euler, Gauss and Legendre. Because the AGM has second-order convergence, it can be combined with fast multiplication algorithms to give fast algorithms for the $n$-bit computation of $ \pi $, and more generally the elementary functions. These algorithms run in ``almost linear' time $ O(M(n) \log n)$, where $ M(n)$ is the time for $n$-bit multiplication. The talk will survey some of the results and algorithms, from the time of Archimedes to the present day, that were of interest to Jon. In several cases they were discovered or improved by him

entry:
@TechReport{Brent:2017:JBP,
  author =       "Richard P. Brent",
  title =        "{Jonathan Borwein}, Pi and the {AGM}",
  type =         "Talk slides",
  institution =  "Australian National University and CARMA, University
                 of Newcastle",
  address =      "Canberra, ACT and Newcastle, NSW, Australia",
  pages =        "76",
  day =          "26",
  month =        sep,
  year =         "2017",
  bibdate =      "Fri Sep 04 17:08:54 2020",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/agm.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "https://carma.newcastle.edu.au/meetings/jbcc/abstracts/pdf/JBCC-Richard_Brent.pdf",
  abstract =     "We consider some of Jon Borwein s contributions to the
                 high-precision computation of $ \pi $ and the
                 elementary functions, with particular reference to the
                 fascinating book \booktitle{Pi and the AGM}(Wiley,
                 1987) by Jon and his brother Peter Borwein. Here
                 ``AGM'' is the arithmetic-geometric mean, first studied
                 by Euler, Gauss and Legendre. Because the AGM has
                 second-order convergence, it can be combined with fast
                 multiplication algorithms to give fast algorithms for
                 the $n$-bit computation of $ \pi $, and more generally
                 the elementary functions. These algorithms run in
                 ``almost linear' time $ O(M(n) \log n)$, where $ M(n)$
                 is the time for $n$-bit multiplication. The talk will
                 survey some of the results and algorithms, from the
                 time of Archimedes to the present day, that were of
                 interest to Jon. In several cases they were discovered
                 or improved by him",
  acknowledgement = ack-nhfb,
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: misc
filename: borwein-jonathan-m.bib
label: Cosgrave:2017:EGB
author: John Cosgrave
title: Extension of Gauss' binomial coefficient congruence
pages: 76
year: 2017
bibdate: Mon May 28 14:25:48 2018
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2018.05.28 14:25:48 ???
acknowledgement: ack-nhfb
howpublished: Lecture at Trinity College, Dublin, Ireland.
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: John Cosgrave
rawtitle: Extension of {Gauss}' binomial coefficient congruence
entry:
@Misc{Cosgrave:2017:EGB,
  author =       "John Cosgrave",
  title =        "Extension of {Gauss}' binomial coefficient
                 congruence",
  howpublished = "Lecture at Trinity College, Dublin, Ireland.",
  year =         "2017",
  bibdate =      "Mon May 28 14:25:48 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: misc
filename: borwein-jonathan-m.bib
label: Devlin:2017:LJB
author: Keith Devlin
title: The Legacy of Jonathan Borwein
pages: 76
day: 20
month: sep
monthnumber: 9
year: 2017
bibdate: Thu Oct 31 18:58:55 2019
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2019.10.31 18:58:55 ???
URL: http://devlinsangle.blogspot.com/2017/09/the-legacy-of-jonathan-borwein.html
acknowledgement: ack-nhfb
howpublished: Web blog.
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Keith Devlin
rawtitle: The Legacy of {Jonathan Borwein}
entry:
@Misc{Devlin:2017:LJB,
  author =       "Keith Devlin",
  title =        "The Legacy of {Jonathan Borwein}",
  howpublished = "Web blog.",
  day =          "20",
  month =        sep,
  year =         "2017",
  bibdate =      "Thu Oct 31 18:58:55 2019",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://devlinsangle.blogspot.com/2017/09/the-legacy-of-jonathan-borwein.html",
  acknowledgement = ack-nhfb,
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Ganz:2017:RRC
author: Reinhard E. Ganz
journal: j-EXP-MATH
volume: 26
number: 3
pages: 306--307
year: 2017
DOI: https://doi.org/10.1080/10586458.2016.1173413
ISSN: 1058-6458 (print), 1944-950X (electronic) OR 10586458 (print), 1944950X (electronic)
ISSNL: 1058-6458 OR 10586458
bibdate: Tue Jun 6 09:17:18 MDT 2017
bibtimestamp: 2017.06.06 09:17:18 MDT
note: See cite Bailey:2017:RCS.
URL: http://www.tandfonline.com/doi/full/10.1080/10586458.2016.1173413
fjournal: Experimental Mathematics
acknowledgement: ack-nhfb
journalURL: http://www.tandfonline.com/loi/uexm20
onlinedate: 24 Aug 2016
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Reinhard E. Ganz
rawnote: See \cite{Bailey:2017:RCS}.
title:
Reply to ``Reproducibility in Computational Science: A Case Study: Randomness of the Digits of Pi'' [Bailey et al. 17]

bibsource:
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; https://www.math.utah.edu/pub/tex/bib/expmath.bib; http://www.tandfonline.com/toc/uexm20/26/3

rawtitle:
Reply to {``Reproducibility in Computational Science: A Case Study: Randomness of the Digits of Pi'' [Bailey et al. 17]}

entry:
@Article{Ganz:2017:RRC,
  author =       "Reinhard E. Ganz",
  title =        "Reply to {``Reproducibility in Computational Science:
                 A Case Study: Randomness of the Digits of Pi'' [Bailey
                 et al. 17]}",
  journal =      j-EXP-MATH,
  volume =       "26",
  number =       "3",
  pages =        "306--307",
  year =         "2017",
  CODEN =        "????",
  DOI =          "https://doi.org/10.1080/10586458.2016.1173413",
  ISSN =         "1058-6458 (print), 1944-950X (electronic)",
  ISSN-L =       "1058-6458",
  bibdate =      "Tue Jun 6 09:17:18 MDT 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/expmath.bib;
                 http://www.tandfonline.com/toc/uexm20/26/3",
  note =         "See \cite{Bailey:2017:RCS}.",
  URL =          "http://www.tandfonline.com/doi/full/10.1080/10586458.2016.1173413",
  acknowledgement = ack-nhfb,
  fjournal =     "Experimental Mathematics",
  journal-URL =  "http://www.tandfonline.com/loi/uexm20",
  onlinedate =   "24 Aug 2016",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Guillera:2017:SRB
author: Jesus Guillera
title: Self-replication and Borwein-like algorithms
journal: j-RAMANUJAN-J
pages: 306--307
month: aug
monthnumber: 8
year: 2017
DOI: https://doi.org/10.1007/s11139-017-9927-0
ISSN: 1382-4090 (print), 1572-9303 (electronic) OR 13824090 (print), 15729303 (electronic)
ISSNL: 1382-4090 OR 13824090
bibdate: Fri Feb 9 09:25:58 2018
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2018.02.09 09:25:58 ???
fjournal: The Ramanujan Journal
acknowledgement: ack-nhfb
journalURL: http://link.springer.com/journal/11139
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Jes{\'u}s Guillera
rawtitle: Self-replication and {Borwein}-like algorithms
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Guillera:2017:SRB,
  author =       "Jes{\'u}s Guillera",
  title =        "Self-replication and {Borwein}-like algorithms",
  journal =      j-RAMANUJAN-J,
  month =        aug,
  year =         "2017",
  DOI =          "https://doi.org/10.1007/s11139-017-9927-0",
  ISSN =         "1382-4090 (print), 1572-9303 (electronic)",
  ISSN-L =       "1382-4090",
  bibdate =      "Fri Feb 9 09:25:58 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "The {Ramanujan} Journal",
  journal-URL =  "http://link.springer.com/journal/11139",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: incollection
filename: borwein-jonathan-m.bib
label: Hirschhorn:2017:CTF
author: Michael D. Hirschhorn
booktitle: The Power of $q$
title: The Cubic Theta-Function Analogues of Borwein, Borwein and Garvan
publisher: pub-SV
address: pub-SV:adr
pages: 185--203
year: 2017
DOI: https://doi.org/10.1007/978-3-319-57762-3_22
bibdate: Fri Feb 9 09:25:58 2018
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2018.02.09 09:25:58 ???
acknowledgement: ack-nhfb
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Michael D. Hirschhorn
rawbooktitle: The Power of $q$
rawtitle: The Cubic Theta-Function Analogues of {Borwein}, {Borwein} and {Garvan}
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@InCollection{Hirschhorn:2017:CTF,
  author =       "Michael D. Hirschhorn",
  booktitle =    "The Power of $q$",
  title =        "The Cubic Theta-Function Analogues of {Borwein},
                 {Borwein} and {Garvan}",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "185--203",
  year =         "2017",
  DOI =          "https://doi.org/10.1007/978-3-319-57762-3_22",
  bibdate =      "Fri Feb 9 09:25:58 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Iannazzo:2017:RBB
author: Bruno Iannazzo and Margherita Porcelli
journal: j-IMA-J-NUMER-ANAL
volume: 38
number: 1
pages: 495--517
month: apr
monthnumber: 4
year: 2017
CODEN: IJNADH
DOI: https://doi.org/10.1093/imanum/drx015
ISSN: 0272-4979 (print), 1464-3642 (electronic) OR 02724979 (print), 14643642 (electronic)
ISSNL: 0272-4979 OR 02724979
bibdate: Fri Feb 9 09:25:58 2018
bibtimestamp: 2018.02.09 09:25:58 ???
fjournal: IMA Journal of Numerical Analysis
acknowledgement: ack-nhfb
journalURL: http://imajna.oxfordjournals.org/content/by/year
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Bruno Iannazzo and Margherita Porcelli
ORCID: Borwein, Jonathan/0000-0002-1263-0646
title:
The Riemannian Barzilai--Borwein method with nonmonotone line search and the matrix geometric mean computation

rawtitle:
The {Riemannian Barzilai--Borwein} method with nonmonotone line search and the matrix geometric mean computation

entry:
@Article{Iannazzo:2017:RBB,
  author =       "Bruno Iannazzo and Margherita Porcelli",
  title =        "The {Riemannian Barzilai--Borwein} method with
                 nonmonotone line search and the matrix geometric mean
                 computation",
  journal =      j-IMA-J-NUMER-ANAL,
  volume =       "38",
  number =       "1",
  pages =        "495--517",
  month =        apr,
  year =         "2017",
  CODEN =        "IJNADH",
  DOI =          "https://doi.org/10.1093/imanum/drx015",
  ISSN =         "0272-4979 (print), 1464-3642 (electronic)",
  ISSN-L =       "0272-4979",
  bibdate =      "Fri Feb 9 09:25:58 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/agm.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "IMA Journal of Numerical Analysis",
  journal-URL =  "http://imajna.oxfordjournals.org/content/by/year",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Kruger:2017:BPV
author: A. Y. Kruger and S. Plubtieng and T. Seangwattana
title: Borwein--Preiss vector variational principle
journal: j-POSITIVITY
pages: 495--517
month: jan
monthnumber: 1
year: 2017
DOI: https://doi.org/10.1007/s11117-017-0466-0
ISSN: 1385-1292 (print), 1572-9281 (electronic) OR 13851292 (print), 15729281 (electronic)
ISSNL: 1385-1292 OR 13851292
bibdate: Fri Feb 9 09:25:58 2018
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2018.02.09 09:25:58 ???
fjournal: Positivity
acknowledgement: ack-nhfb
journalURL: https://link.springer.com/journal/11117
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: A. Y. Kruger and S. Plubtieng and T. Seangwattana
rawtitle: {Borwein--Preiss} vector variational principle
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Kruger:2017:BPV,
  author =       "A. Y. Kruger and S. Plubtieng and T. Seangwattana",
  title =        "{Borwein--Preiss} vector variational principle",
  journal =      j-POSITIVITY,
  month =        jan,
  year =         "2017",
  CODEN =        "????",
  DOI =          "https://doi.org/10.1007/s11117-017-0466-0",
  ISSN =         "1385-1292 (print), 1572-9281 (electronic)",
  ISSN-L =       "1385-1292",
  bibdate =      "Fri Feb 9 09:25:58 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Positivity",
  journal-URL =  "https://link.springer.com/journal/11117",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Nosratipour:2017:ANG
author: Hadi Nosratipour and Omid Solaymani Fard and Akbar Hashemi Borzabadi
title: An adaptive nonmonotone global Barzilai--Borwein gradient method for unconstrained optimization
journal: j-OPTIMIZATION
volume: 66
number: 4
pages: 641--655
month: feb
monthnumber: 2
year: 2017
CODEN: OPTZDQ
DOI: https://doi.org/10.1080/02331934.2017.1287702
ISSN: 0233-1934, 0323-3898 OR 02331934, 03233898
ISSNL: 0233-1934 OR 02331934
bibdate: Fri Feb 9 09:25:58 2018
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2018.02.09 09:25:58 ???
fjournal: Optimization
acknowledgement: ack-nhfb
journalURL: http://www.tandfonline.com/loi/gopt20
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Hadi Nosratipour and Omid Solaymani Fard and Akbar Hashemi Borzabadi
rawtitle: An adaptive nonmonotone global {Barzilai--Borwein} gradient method for unconstrained optimization
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Nosratipour:2017:ANG,
  author =       "Hadi Nosratipour and Omid Solaymani Fard and Akbar
                 Hashemi Borzabadi",
  title =        "An adaptive nonmonotone global {Barzilai--Borwein}
                 gradient method for unconstrained optimization",
  journal =      j-OPTIMIZATION,
  volume =       "66",
  number =       "4",
  pages =        "641--655",
  month =        feb,
  year =         "2017",
  CODEN =        "OPTZDQ",
  DOI =          "https://doi.org/10.1080/02331934.2017.1287702",
  ISSN =         "0233-1934, 0323-3898",
  ISSN-L =       "0233-1934",
  bibdate =      "Fri Feb 9 09:25:58 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Optimization",
  journal-URL =  "http://www.tandfonline.com/loi/gopt20",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Nosratipour:2017:OCV
author: Hadi Nosratipour and Omid Solaymani Fard and Akbar Hashemi Borzabadi
journal: j-INT-J-COMPUT-MATH
pages: 1--16
month: jun
monthnumber: 6
year: 2017
CODEN: IJCMAT
DOI: https://doi.org/10.1080/00207160.2017.1343472
ISSN: 0020-7160 OR 00207160
ISSNL: 0020-7160 OR 00207160
bibdate: Fri Feb 9 09:25:58 2018
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2018.02.09 09:25:58 ???
fjournal: International Journal of Computer Mathematics
acknowledgement: ack-nhfb
journalURL: http://www.tandfonline.com/loi/gcom20
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Hadi Nosratipour and Omid Solaymani Fard and Akbar Hashemi Borzabadi
ORCID: Borwein, Jonathan/0000-0002-1263-0646
title:
Optimal control of viscous Burgers equation via an adaptive nonmonotone Barzilai--Borwein gradient method

rawtitle:
Optimal control of viscous {Burgers} equation via an adaptive nonmonotone {Barzilai--Borwein} gradient method

entry:
@Article{Nosratipour:2017:OCV,
  author =       "Hadi Nosratipour and Omid Solaymani Fard and Akbar
                 Hashemi Borzabadi",
  title =        "Optimal control of viscous {Burgers} equation via an
                 adaptive nonmonotone {Barzilai--Borwein} gradient
                 method",
  journal =      j-INT-J-COMPUT-MATH,
  pages =        "1--16",
  month =        jun,
  year =         "2017",
  CODEN =        "IJCMAT",
  DOI =          "https://doi.org/10.1080/00207160.2017.1343472",
  ISSN =         "0020-7160",
  ISSN-L =       "0020-7160",
  bibdate =      "Fri Feb 9 09:25:58 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal of Computer Mathematics",
  journal-URL =  "http://www.tandfonline.com/loi/gcom20",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: misc
filename: borwein-jonathan-m.bib
label: Swedroe:2017:SGF
author: Larry Swedroe
title: Swedroe: Grading The Forecasters
pages: 1--16
day: 28
month: jul
monthnumber: 7
year: 2017
bibdate: Fri Jul 28 17:20:08 2017
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2017.07.28 17:20:08 ???
URL: http://www.etf.com/sections/index-investor-corner/swedroe-grading-forecasters
remark: Comments on cite Bailey:2017:ERM.
acknowledgement: ack-nhfb
howpublished: Web blog.
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Larry Swedroe
rawtitle: {Swedroe}: Grading The Forecasters
entry:
@Misc{Swedroe:2017:SGF,
  author =       "Larry Swedroe",
  title =        "{Swedroe}: Grading The Forecasters",
  howpublished = "Web blog.",
  day =          "28",
  month =        jul,
  year =         "2017",
  bibdate =      "Fri Jul 28 17:20:08 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://www.etf.com/sections/index-investor-corner/swedroe-grading-forecasters",
  acknowledgement = ack-nhfb,
  remark =       "Comments on \cite{Bailey:2017:ERM}.",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Apkarian:2018:NSO
author: Pierre Apkarian and Dominikus Noll and Laleh Ravanbod
title: Non-Smooth Optimization for Robust Control of Infinite-Dimensional Systems
journal: j-SET-VALUED-VAR-ANAL
volume: 26
number: 2
pages: 405--429
month: jun
monthnumber: 6
year: 2018
DOI: https://doi.org/10.1007/s11228-017-0453-4
ISSN: 1877-0533 (print), 1877-0541 (electronic) OR 18770533 (print), 18770541 (electronic)
ISSNL: 1877-0533 OR 18770533
bibdate: Wed May 30 06:39:09 MDT 2018
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2018.05.30 06:39:09 MDT
URL: http://link.springer.com/article/10.1007/s11228-017-0453-4
fjournal: Set-Valued and Variational Analysis
remark: Special issue: A tribute to Jonathan Borwein (Part 2).
acknowledgement: ack-nhfb
journalURL: http://link.springer.com/journal/11228
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Pierre Apkarian and Dominikus Noll and Laleh Ravanbod
rawtitle: Non-Smooth Optimization for Robust Control of Infinite-Dimensional Systems
entry:
@Article{Apkarian:2018:NSO,
  author =       "Pierre Apkarian and Dominikus Noll and Laleh
                 Ravanbod",
  title =        "Non-Smooth Optimization for Robust Control of
                 Infinite-Dimensional Systems",
  journal =      j-SET-VALUED-VAR-ANAL,
  volume =       "26",
  number =       "2",
  pages =        "405--429",
  month =        jun,
  year =         "2018",
  CODEN =        "????",
  DOI =          "https://doi.org/10.1007/s11228-017-0453-4",
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  bibdate =      "Wed May 30 06:39:09 MDT 2018",
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  acknowledgement = ack-nhfb,
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bibtype: article
filename: borwein-jonathan-m.bib
label: Artacho:2018:SGC
author: Francisco J. Aragon Artacho and Ruben Campoy
title: Solving Graph Coloring Problems with the Douglas--Rachford Algorithm
journal: j-SET-VALUED-VAR-ANAL
volume: 26
number: 2
pages: 277--304
month: jun
monthnumber: 6
year: 2018
DOI: https://doi.org/10.1007/s11228-017-0461-4
ISSN: 1877-0533 (print), 1877-0541 (electronic) OR 18770533 (print), 18770541 (electronic)
ISSNL: 1877-0533 OR 18770533
bibdate: Wed May 30 06:39:09 MDT 2018
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2018.05.30 06:39:09 MDT
URL: http://link.springer.com/article/10.1007/s11228-017-0461-4
fjournal: Set-Valued and Variational Analysis
remark: Special issue: A tribute to Jonathan Borwein (Part 2).
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bibtype: article
filename: borwein-jonathan-m.bib
label: Arutyunov:2018:SPN
author: A. V. Arutyunov and A. F. Izmailov
journal: j-SET-VALUED-VAR-ANAL
volume: 26
number: 2
pages: 327--352
month: jun
monthnumber: 6
year: 2018
DOI: https://doi.org/10.1007/s11228-017-0459-y
ISSN: 1877-0533 (print), 1877-0541 (electronic) OR 18770533 (print), 18770541 (electronic)
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bibdate: Wed May 30 06:39:09 MDT 2018
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2018.05.30 06:39:09 MDT
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fjournal: Set-Valued and Variational Analysis
remark: Special issue: A tribute to Jonathan Borwein (Part 2).
acknowledgement: ack-nhfb
journalURL: http://link.springer.com/journal/11228
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: A. V. Arutyunov and A. F. Izmailov
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Stability of Possibly Nonisolated Solutions of Constrained Equations, with Applications to Complementarity and Equilibrium Problems

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Stability of Possibly Nonisolated Solutions of Constrained Equations, with Applications to Complementarity and Equilibrium Problems

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bibtype: article
filename: borwein-jonathan-m.bib
label: Bauschke:2018:Pa
author: Heinz H. Bauschke and Boris S. Mordukhovich and Claudia S. Sagastizabal and Michel A. Thera
title: Preface
journal: j-SET-VALUED-VAR-ANAL
volume: 26
number: 1
pages: 1--4
month: mar
monthnumber: 3
year: 2018
DOI: https://doi.org/10.1007/s11228-018-0473-8
ISSN: 1877-0533 (print), 1877-0541 (electronic) OR 18770533 (print), 18770541 (electronic)
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bibdate: Wed May 30 06:38:59 MDT 2018
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2018.05.30 06:38:59 MDT
fjournal: Set-Valued and Variational Analysis
remark: Special issue: A tribute to Jonathan Borwein (Part 1).
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journalURL: http://link.springer.com/journal/11228
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bibtype: article
filename: borwein-jonathan-m.bib
label: Bauschke:2018:Pb
author: Heinz H. Bauschke and Boris S. Mordukhovich and Claudia S. Sagastizabal and Michel A. Thera
title: Preface
journal: j-SET-VALUED-VAR-ANAL
volume: 26
number: 2
pages: 205--206
month: jun
monthnumber: 6
year: 2018
DOI: https://doi.org/10.1007/s11228-018-0484-5
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bibdate: Wed May 30 06:39:09 MDT 2018
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2018.05.30 06:39:09 MDT
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bibtype: article
filename: borwein-jonathan-m.bib
label: Beer:2018:UCN
author: Gerald Beer and M. Isabel Garrido and Ana S. Merono
title: Uniform Continuity and a New Bornology for a Metric Space
journal: j-SET-VALUED-VAR-ANAL
volume: 26
number: 1
pages: 49--65
month: mar
monthnumber: 3
year: 2018
DOI: https://doi.org/10.1007/s11228-017-0429-4
ISSN: 1877-0533 (print), 1877-0541 (electronic) OR 18770533 (print), 18770541 (electronic)
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bibdate: Wed May 30 06:38:59 MDT 2018
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2018.05.30 06:38:59 MDT
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bibtype: article
filename: borwein-jonathan-m.bib
label: BoAa:2018:ANN
author: Radu Ioan Bot and Erno Robert Csetnek
journal: j-SET-VALUED-VAR-ANAL
volume: 26
number: 2
pages: 227--245
month: jun
monthnumber: 6
year: 2018
DOI: https://doi.org/10.1007/s11228-017-0411-1
ISSN: 1877-0533 (print), 1877-0541 (electronic) OR 18770533 (print), 18770541 (electronic)
ISSNL: 1877-0533 OR 18770533
bibdate: Wed May 30 06:39:09 MDT 2018
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2018.05.30 06:39:09 MDT
fjournal: Set-Valued and Variational Analysis
remark: Special issue: A tribute to Jonathan Borwein (Part 2).
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journalURL: http://link.springer.com/journal/11228
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Radu Ioan Bo{\c{t}} and Ern{\"o} Robert Csetnek
title:
Approaching Nonsmooth Nonconvex Optimization Problems Through First Order Dynamical Systems with Hidden Acceleration and Hessian Driven Damping Terms

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rawtitle:
Approaching Nonsmooth Nonconvex Optimization Problems Through First Order Dynamical Systems with Hidden Acceleration and {Hessian} Driven Damping Terms

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bibtype: article
filename: borwein-jonathan-m.bib
label: Bonnefond:2018:NMP
author: Xavier Bonnefond and Pierre Marechal and Walter Cedric and Simo Tao Lee
title: A Note on the Morozov Principle via Lagrange Duality
journal: j-SET-VALUED-VAR-ANAL
volume: 26
number: 2
pages: 265--275
month: jun
monthnumber: 6
year: 2018
DOI: https://doi.org/10.1007/s11228-018-0470-y
ISSN: 1877-0533 (print), 1877-0541 (electronic) OR 18770533 (print), 18770541 (electronic)
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bibdate: Wed May 30 06:39:09 MDT 2018
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2018.05.30 06:39:09 MDT
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bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:2018:DDR
title: Dynamics of the Douglas--Rachford Method for Ellipses and $p$-Spheres
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volume: 26
number: 2
pages: 385--403
month: jun
monthnumber: 6
year: 2018
DOI: https://doi.org/10.1007/s11228-017-0457-0
ISSN: 1877-0533 (print), 1877-0541 (electronic) OR 18770533 (print), 18770541 (electronic)
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bibdate: Wed May 30 06:39:09 MDT 2018
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
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rawtitle: Dynamics of the {Douglas--Rachford} Method for Ellipses and $p$-Spheres
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bibtype: article
filename: borwein-jonathan-m.bib
label: Burachik:2018:BTD
author: Regina S. Burachik and Juan E. Martinez-Legaz
title: On Bregman-Type Distances for Convex Functions and Maximally Monotone Operators
journal: j-SET-VALUED-VAR-ANAL
volume: 26
number: 2
pages: 369--384
month: jun
monthnumber: 6
year: 2018
DOI: https://doi.org/10.1007/s11228-017-0443-6
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bibdate: Wed May 30 06:39:09 MDT 2018
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2018.05.30 06:39:09 MDT
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bibtype: article
filename: borwein-jonathan-m.bib
label: Chieu:2018:SCS
author: N. H. Chieu and J. W. Feng and W. Gao and G. Li and D. Wu
journal: j-SET-VALUED-VAR-ANAL
volume: 26
number: 2
pages: 305--326
month: jun
monthnumber: 6
year: 2018
DOI: https://doi.org/10.1007/s11228-017-0456-1
ISSN: 1877-0533 (print), 1877-0541 (electronic) OR 18770533 (print), 18770541 (electronic)
ISSNL: 1877-0533 OR 18770533
bibdate: Wed May 30 06:39:09 MDT 2018
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2018.05.30 06:39:09 MDT
URL: http://link.springer.com/article/10.1007/s11228-017-0456-1
fjournal: Set-Valued and Variational Analysis
remark: Special issue: A tribute to Jonathan Borwein (Part 2).
acknowledgement: ack-nhfb
journalURL: http://link.springer.com/journal/11228
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: N. H. Chieu and J. W. Feng and W. Gao and G. Li and D. Wu
title:
SOS-Convex Semialgebraic Programs and its Applications to Robust Optimization: A Tractable Class of Nonsmooth Convex Optimization

rawtitle:
{SOS-Convex} Semialgebraic Programs and its Applications to Robust Optimization: A Tractable Class of Nonsmooth Convex Optimization

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bibtype: article
filename: borwein-jonathan-m.bib
label: Combettes:2018:PFP
author: Patrick L. Combettes
title: Perspective Functions: Properties, Constructions, and Examples
journal: j-SET-VALUED-VAR-ANAL
volume: 26
number: 2
pages: 247--264
month: jun
monthnumber: 6
year: 2018
DOI: https://doi.org/10.1007/s11228-017-0407-x
ISSN: 1877-0533 (print), 1877-0541 (electronic) OR 18770533 (print), 18770541 (electronic)
ISSNL: 1877-0533 OR 18770533
bibdate: Wed May 30 06:39:09 MDT 2018
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2018.05.30 06:39:09 MDT
URL: http://link.springer.com/article/10.1007/s11228-017-0407-x
fjournal: Set-Valued and Variational Analysis
remark: Special issue: A tribute to Jonathan Borwein (Part 2).
acknowledgement: ack-nhfb
journalURL: http://link.springer.com/journal/11228
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
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bibtype: article
filename: borwein-jonathan-m.bib
label: Cotrina:2018:EPE
author: John Cotrina and Yboon Garcia
title: Equilibrium Problems: Existence Results and Applications
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volume: 26
number: 1
pages: 159--177
month: mar
monthnumber: 3
year: 2018
DOI: https://doi.org/10.1007/s11228-017-0451-6
ISSN: 1877-0533 (print), 1877-0541 (electronic) OR 18770533 (print), 18770541 (electronic)
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bibdate: Wed May 30 06:38:59 MDT 2018
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2018.05.30 06:38:59 MDT
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fjournal: Set-Valued and Variational Analysis
remark: Special issue: A tribute to Jonathan Borwein (Part 1).
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journalURL: http://link.springer.com/journal/11228
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bibtype: article
filename: borwein-jonathan-m.bib
label: Daniilidis:2018:PAD
author: Aris Daniilidis and Colin Petitjean
title: A Partial Answer to the Demyanov--Ryabova Conjecture
journal: j-SET-VALUED-VAR-ANAL
volume: 26
number: 1
pages: 143--157
month: mar
monthnumber: 3
year: 2018
DOI: https://doi.org/10.1007/s11228-017-0439-2
ISSN: 1877-0533 (print), 1877-0541 (electronic) OR 18770533 (print), 18770541 (electronic)
ISSNL: 1877-0533 OR 18770533
bibdate: Wed May 30 06:38:59 MDT 2018
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2018.05.30 06:38:59 MDT
URL: http://link.springer.com/article/10.1007/s11228-017-0439-2
fjournal: Set-Valued and Variational Analysis
remark: Special issue: A tribute to Jonathan Borwein (Part 1).
acknowledgement: ack-nhfb
journalURL: http://link.springer.com/journal/11228
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
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bibtype: article
filename: borwein-jonathan-m.bib
label: Garcia-Lirola:2018:MRN
author: Luis Garcia-Lirola and Matias Raja
title: Maps with the Radon--Nikodym Property
journal: j-SET-VALUED-VAR-ANAL
volume: 26
number: 1
pages: 77--93
month: mar
monthnumber: 3
year: 2018
DOI: https://doi.org/10.1007/s11228-017-0428-5
ISSN: 1877-0533 (print), 1877-0541 (electronic) OR 18770533 (print), 18770541 (electronic)
ISSNL: 1877-0533 OR 18770533
bibdate: Wed May 30 06:38:59 MDT 2018
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2018.05.30 06:38:59 MDT
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fjournal: Set-Valued and Variational Analysis
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bibtype: article
filename: borwein-jonathan-m.bib
label: Giladi:2018:RCD
author: Ohad Giladi
title: A Remark on the Convergence of the Douglas--Rachford Iteration in a Non-convex Setting
journal: j-SET-VALUED-VAR-ANAL
volume: 26
number: 2
pages: 207--225
month: jun
monthnumber: 6
year: 2018
DOI: https://doi.org/10.1007/s11228-018-0477-4
ISSN: 1877-0533 (print), 1877-0541 (electronic) OR 18770533 (print), 18770541 (electronic)
ISSNL: 1877-0533 OR 18770533
bibdate: Wed May 30 06:39:09 MDT 2018
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2018.05.30 06:39:09 MDT
URL: http://link.springer.com/article/10.1007/s11228-018-0477-4
fjournal: Set-Valued and Variational Analysis
remark: Special issue: A tribute to Jonathan Borwein (Part 2).
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journalURL: http://link.springer.com/journal/11228
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Ohad Giladi
rawtitle: A Remark on the Convergence of the {Douglas--Rachford} Iteration in a Non-convex Setting
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bibtype: article
filename: borwein-jonathan-m.bib
label: Iannazzo:2018:RBB
author: Bruno Iannazzo and Margherita Porcelli
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volume: 38
number: 1
pages: 495--517
day: 25
month: jan
monthnumber: 1
year: 2018
CODEN: IJNADH
DOI: https://doi.org/10.1093/imanum/drx015
ISSN: 0272-4979 (print), 1464-3642 (electronic) OR 02724979 (print), 14643642 (electronic)
ISSNL: 0272-4979 OR 02724979
bibdate: Mon Oct 15 18:47:19 MDT 2018
bibtimestamp: 2018.10.15 18:47:19 MDT
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acknowledgement: ack-nhfb
journalURL: http://imajna.oxfordjournals.org/content/by/year
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Bruno Iannazzo and Margherita Porcelli
title:
The Riemannian Barzilai--Borwein method with nonmonotone line search and the matrix geometric mean computation

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rawtitle:
The {Riemannian Barzilai--Borwein} method with nonmonotone line search and the matrix geometric mean computation

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bibtype: article
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label: Kruger:2018:AIT
author: Alexander Y. Kruger
title: About Intrinsic Transversality of Pairs of Sets
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number: 1
pages: 111--142
month: mar
monthnumber: 3
year: 2018
DOI: https://doi.org/10.1007/s11228-017-0446-3
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bibdate: Wed May 30 06:38:59 MDT 2018
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2018.05.30 06:38:59 MDT
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bibtype: article
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label: Lassonde:2018:USF
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title: Upper Semismooth Functions and the Subdifferential Determination Property
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volume: 26
number: 1
pages: 95--109
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monthnumber: 3
year: 2018
DOI: https://doi.org/10.1007/s11228-017-0467-y
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bibdate: Wed May 30 06:38:59 MDT 2018
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label: Lauster:2018:SCM
author: Florian Lauster and D. Russell Luke and Matthew K. Tam
title: Symbolic Computation with Monotone Operators
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volume: 26
number: 2
pages: 353--368
month: jun
monthnumber: 6
year: 2018
DOI: https://doi.org/10.1007/s11228-017-0418-7
ISSN: 1877-0533 (print), 1877-0541 (electronic) OR 18770533 (print), 18770541 (electronic)
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bibdate: Wed May 30 06:39:09 MDT 2018
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bibtimestamp: 2018.05.30 06:39:09 MDT
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  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
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bibtype: article
filename: borwein-jonathan-m.bib
label: Li:2018:NAB
author: Ting Li and Zhong Wan
journal: j-ANZIAM-J
volume: 61
number: 1
pages: 76--98
month: dec
monthnumber: 12
year: 2018
CODEN: AJNOA2
DOI: https://doi.org/10.1017/s1446181118000263
ISSN: 1446-1811 (print), 1446-8735 (electronic) OR 14461811 (print), 14468735 (electronic)
ISSNL: 1446-1811 OR 14461811
bibdate: Fri Apr 26 15:54:55 2019
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2019.04.26 15:54:55 ???
fjournal: The ANZIAM Journal
acknowledgement: ack-nhfb
journalURL: http://journals.cambridge.org/action/displayJournal?jid=ANZ
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Ting Li and Zhong Wan
title:
New adaptive Barzilai--Borwein step size and its application in solving large-scale optimization problems

rawtitle:
New adaptive {Barzilai--Borwein} step size and its application in solving large-scale optimization problems

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bibtype: article
filename: borwein-jonathan-m.bib
label: Li:2018:NOC
author: An Li and Jane J. Ye
journal: j-SET-VALUED-VAR-ANAL
volume: 26
number: 1
pages: 179--203
month: mar
monthnumber: 3
year: 2018
DOI: https://doi.org/10.1007/s11228-017-0444-5
ISSN: 1877-0533 (print), 1877-0541 (electronic) OR 18770533 (print), 18770541 (electronic)
ISSNL: 1877-0533 OR 18770533
bibdate: Wed May 30 06:38:59 MDT 2018
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2018.05.30 06:38:59 MDT
URL: http://link.springer.com/article/10.1007/s11228-017-0444-5
fjournal: Set-Valued and Variational Analysis
remark: Special issue: A tribute to Jonathan Borwein (Part 1).
acknowledgement: ack-nhfb
journalURL: http://link.springer.com/journal/11228
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: An Li and Jane J. Ye
title:
Necessary Optimality Conditions for Implicit Control Systems with Applications to Control of Differential Algebraic Equations

rawtitle:
Necessary Optimality Conditions for Implicit Control Systems with Applications to Control of Differential Algebraic Equations

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bibtype: article
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label: Momeni:2018:NCG
author: M. Momeni and M. R. Peyghami
journal: j-OPTIM-METHODS-SOFTW
pages: 1--15
month: jan
monthnumber: 1
year: 2018
DOI: https://doi.org/10.1080/10556788.2017.1414813
ISSN: 1055-6788 OR 10556788
ISSNL: 1026-7670 OR 10267670
bibdate: Fri Feb 9 09:25:58 2018
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2018.02.09 09:25:58 ???
fjournal: Optimization Methods and Software
acknowledgement: ack-nhfb
journalURL: http://www.tandfonline.com/loi/goms20
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: M. Momeni and M. R. Peyghami
ORCID: Borwein, Jonathan/0000-0002-1263-0646
title:
A new conjugate gradient algorithm with cubic Barzilai--Borwein stepsize for unconstrained optimization

rawtitle:
A new conjugate gradient algorithm with cubic {Barzilai--Borwein} stepsize for unconstrained optimization

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bibtype: article
filename: borwein-jonathan-m.bib
label: Moors:2018:NCS
author: Warren B. Moors
title: Nearly Chebyshev Sets are Almost Convex
journal: j-SET-VALUED-VAR-ANAL
volume: 26
number: 1
pages: 67--76
month: mar
monthnumber: 3
year: 2018
DOI: https://doi.org/10.1007/s11228-017-0445-4
ISSN: 1877-0533 (print), 1877-0541 (electronic) OR 18770533 (print), 18770541 (electronic)
ISSNL: 1877-0533 OR 18770533
bibdate: Wed May 30 06:38:59 MDT 2018
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2018.05.30 06:38:59 MDT
URL: http://link.springer.com/article/10.1007/s11228-017-0445-4
fjournal: Set-Valued and Variational Analysis
remark: Special issue: A tribute to Jonathan Borwein (Part 1).
acknowledgement: ack-nhfb
journalURL: http://link.springer.com/journal/11228
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Warren B. Moors
rawtitle: Nearly {Chebyshev} Sets are Almost Convex
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@Article{Moors:2018:NCS,
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bibtype: article
filename: borwein-jonathan-m.bib
label: Pospisil:2018:PBB
author: Lukas Pospisil and Zdenek Dostal
journal: j-MATH-COMP-SIM
volume: 145
pages: 79--89
month: mar
monthnumber: 3
year: 2018
CODEN: MCSIDR
DOI: https://doi.org/10.1016/j.matcom.2017.10.003
ISSN: 0378-4754 (print), 1872-7166 (electronic) OR 03784754 (print), 18727166 (electronic)
ISSNL: 0378-4754 OR 03784754
bibdate: Fri Feb 9 09:25:58 2018
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2018.02.09 09:25:58 ???
fjournal: Mathematics and Computers in Simulation
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journalURL: http://www.sciencedirect.com/science/journal/03784754
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rawauthor: Luk{\'a}{\v{s}} Posp{\'{\i}}{\v{s}}il and Zden{\v{e}}k Dost{\'a}l
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title:
The projected Barzilai--Borwein method with fall-back for strictly convex QCQP problems with separable constraints

rawtitle:
The projected {Barzilai--Borwein} method with fall-back for strictly convex {QCQP} problems with separable constraints

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  author =       "Luk{\'a}{\v{s}} Posp{\'{\i}}{\v{s}}il and Zden{\v{e}}k
                 Dost{\'a}l",
  title =        "The projected {Barzilai--Borwein} method with
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bibtype: article
filename: borwein-jonathan-m.bib
label: Reich:2018:CMU
author: Simeon Reich and Alexander J. Zaslavski
title: Contractive Mappings on Unbounded Sets
journal: j-SET-VALUED-VAR-ANAL
volume: 26
number: 1
pages: 27--47
month: mar
monthnumber: 3
year: 2018
DOI: https://doi.org/10.1007/s11228-017-0430-y
ISSN: 1877-0533 (print), 1877-0541 (electronic) OR 18770533 (print), 18770541 (electronic)
ISSNL: 1877-0533 OR 18770533
bibdate: Wed May 30 06:38:59 MDT 2018
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2018.05.30 06:38:59 MDT
URL: http://link.springer.com/article/10.1007/s11228-017-0430-y
fjournal: Set-Valued and Variational Analysis
remark: Special issue: A tribute to Jonathan Borwein (Part 1).
acknowledgement: ack-nhfb
journalURL: http://link.springer.com/journal/11228
subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
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bibtype: article
filename: borwein-jonathan-m.bib
label: Simons:2018:QMM
author: Stephen Simons
title: Quasidense Monotone Multifunctions
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volume: 26
number: 1
pages: 5--26
month: mar
monthnumber: 3
year: 2018
DOI: https://doi.org/10.1007/s11228-017-0434-7
ISSN: 1877-0533 (print), 1877-0541 (electronic) OR 18770533 (print), 18770541 (electronic)
ISSNL: 1877-0533 OR 18770533
bibdate: Wed May 30 06:38:59 MDT 2018
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2018.05.30 06:38:59 MDT
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rawtitle: Quasidense Monotone Multifunctions
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bibtype: article
filename: borwein-jonathan-m.bib
label: Li:2019:NAB
author: Ting Li and Zhong Wan
journal: j-ANZIAM-J
volume: 61
number: 1
pages: 76--98
month: jan
monthnumber: 1
year: 2019
CODEN: AJNOA2
DOI: https://doi.org/10.1017/S1446181118000263
ISSN: 1446-1811 (print), 1446-8735 (electronic) OR 14461811 (print), 14468735 (electronic)
ISSNL: 1446-1811 OR 14461811
bibdate: Fri Apr 26 16:14:14 MDT 2019
bibtimestamp: 2019.04.26 16:14:14 MDT
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acknowledgement: ack-nhfb
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journalURL: http://journals.cambridge.org/action/displayJournal?jid=ANZ
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subjectdates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Ting Li and Zhong Wan
title:
New adaptive Barzilai--Borwein step size and its application in solving large-scale optimization problems

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https://www.cambridge.org/core/journals/anziam-journal/article/new-adaptive-barzilaiborwein-step-size-and-its-application-in-solving-largescale-optimization-problems/ACD9681C2B8C9F20A84A62658C3DEAB8

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New adaptive {Barzilai--Borwein} step size and its application in solving large-scale optimization problems

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