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key: ack-nhfb
filename: borwein-jonathan-m.bib
value:
Nelson H. F. Beebe, University of Utah, Department of Mathematics, 110 LCB, 155 S 1400 E RM 233, Salt Lake City, UT 84112-0090, USA, Tel: +1 801 581 5254, FAX: +1 801 581 4148, e-mail: path |beebe@math.utah.edu|, path |beebe@acm.org|, path |beebe@computer.org| (Internet), URL: path |https://www.math.utah.edu/~beebe/|

entry:
@String{ack-nhfb = "Nelson H. F. Beebe,
                    University of Utah,
                    Department of Mathematics, 110 LCB,
                    155 S 1400 E RM 233,
                    Salt Lake City, UT 84112-0090, USA,
                    Tel: +1 801 581 5254,
                    FAX: +1 801 581 4148,
                    e-mail: \path|beebe@math.utah.edu|,
                            \path|beebe@acm.org|,
                            \path|beebe@computer.org| (Internet),
                    URL: \path|https://www.math.utah.edu/~beebe/|"}


key: inst-CARMA
filename: borwein-jonathan-m.bib
value:
Centre for Computer-assisted Research Mathematics and its Applications (CARMA), School of Mathematical and Physical Sciences, University of Newcastle

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entry:
@String{inst-CECM               = "Centre for Experimental and Constructive
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entry:
@String{j-APPL-NUM-MATH         = "Applied Numerical Mathematics: Transactions
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entry:
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@String{j-C-R-ACAD-SCI-CANADA   = "Comptes rendus de l'Acad{\'e}mie des
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@String{j-COMP-OPTIM-APPL       = "Computational optimization and
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entry:
@String{j-INT-J-COMPUT-MATH     = "International Journal of Computer
                                  Mathematics"}


key: j-INT-J-MATH-MATH-SCI
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entry:
@String{j-INT-J-MATH-MATH-SCI   = "International Journal of Mathematics and
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key: j-INTEGRAL-TRANSFORMS-SPEC-FUNCT
value: Integral Transforms and Special Functions
filename: borwein-jonathan-m.bib
entry:
@String{j-INTEGRAL-TRANSFORMS-SPEC-FUNCT = "Integral Transforms and Special
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key: j-INVERSE-PROBL-SCI-ENG
value: Inverse Problems in Science and Engineering
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entry:
@String{j-INVERSE-PROBL-SCI-ENG = "Inverse Problems in Science and
                                  Engineering"}


key: j-J-AUSTRAL-MATH-SOC
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entry:
@String{j-J-AUSTRAL-MATH-SOC    = "Journal of the Australian
                                  Mathematical Society"}


key: j-J-AUSTRAL-MATH-SOC-SER-A
value: Journal of the Australian Mathematical Society. Series A: Pure Mathematics and Statistics
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entry:
@String{j-J-AUSTRAL-MATH-SOC-SER-A = "Journal of the Australian
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value: Journal of the Australian Mathematical Society. Series B
filename: borwein-jonathan-m.bib
entry:
@String{j-J-AUSTRAL-MATH-SOC-SER-B = "Journal of the Australian
                                  Mathematical Society. Series B"}


key: j-J-COMPUT-APPL-MATH
value: Journal of Computational and Applied Mathematics
filename: borwein-jonathan-m.bib
entry:
@String{j-J-COMPUT-APPL-MATH    = "Journal of Computational and Applied
                                  Mathematics"}


key: j-J-LOND-MATH-SOC-2
value: Journal of the London Mathematical Society (series 2)
filename: borwein-jonathan-m.bib
entry:
@String{j-J-LOND-MATH-SOC-2     = "Journal of the London Mathematical Society
                                  (series 2)"}


key: j-J-MATH-ANAL-APPL
value: Journal of Mathematical Analysis and Applications
filename: borwein-jonathan-m.bib
entry:
@String{j-J-MATH-ANAL-APPL      = "Journal of Mathematical Analysis and
                                  Applications"}


key: j-J-OPT-THEORY-APPL
value: Journal of Optimization Theory and Applications
filename: borwein-jonathan-m.bib
entry:
@String{j-J-OPT-THEORY-APPL     = "Journal of Optimization Theory and
                                  Applications"}


key: j-J-PHYS-A
value: Journal of Physics A (Mathematical and General)
filename: borwein-jonathan-m.bib
entry:
@String{j-J-PHYS-A              = "Journal of Physics A (Mathematical and
                                  General)"}


key: j-J-PHYS-A-MATH-THEOR
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entry:
@String{j-J-PHYS-A-MATH-THEOR   = "Journal of Physics A: Mathematical and
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key: j-J-REINE-ANGEW-MATH
value: Journal fur die reine und angewandte Mathematik
filename: borwein-jonathan-m.bib
entry:
@String{j-J-REINE-ANGEW-MATH    = "{Journal f{\"u}r die reine und angewandte
                                  Mathematik}"}


key: j-NAMS
value: Notices of the American Mathematical Society
filename: borwein-jonathan-m.bib
entry:
@String{j-NAMS                  = "Notices of the American Mathematical
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key: j-NONLINEAR-ANAL
value: Nonlinear Analysis, Theory, Methods and Applications
filename: borwein-jonathan-m.bib
entry:
@String{j-NONLINEAR-ANAL        = "Nonlinear Analysis, Theory, Methods and
                                  Applications"}


key: j-NUMER-ALGEBRA-CONTROL-OPTIM
value: Numerical Algebra, Control and Optimization
filename: borwein-jonathan-m.bib
entry:
@String{j-NUMER-ALGEBRA-CONTROL-OPTIM = "Numerical Algebra, Control and
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key: j-NUMER-FUNCT-ANAL-OPTIM
value: Numerical Functional Analysis and Optimization
filename: borwein-jonathan-m.bib
entry:
@String{j-NUMER-FUNCT-ANAL-OPTIM = "Numerical Functional Analysis and
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key: j-PROC-AM-MATH-SOC
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entry:
@String{j-PROC-AM-MATH-SOC      = "Proceedings of the American Mathematical
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value: Proceedings of the Edinburgh Mathematical Society (2)
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entry:
@String{j-PROC-EDINBURGH-MATH-SOC-2 = "Proceedings of the Edinburgh Mathematical
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key: j-PROC-LONDON-MATH-SOC-3
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filename: borwein-jonathan-m.bib
entry:
@String{j-PROC-LONDON-MATH-SOC-3 = "Proceedings of the London Mathematical
                                  Society. Third Series"}


key: j-SERDICA-MATH-J
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filename: borwein-jonathan-m.bib
entry:
@String{j-SERDICA-MATH-J        = "Serdica. Mathematical Journal. Serdika.
                                  Matematichesko Spisanie"}


key: j-SIGSAM
value: SIGSAM Bulletin (ACM Special Interest Group on Symbolic and Algebraic Manipulation)
filename: borwein-jonathan-m.bib
entry:
@String{j-SIGSAM                = "SIGSAM Bulletin (ACM Special Interest Group
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key: j-TRANS-AM-MATH-SOC
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entry:
@String{j-TRANS-AM-MATH-SOC     = "Transactions of the American Mathematical
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entry:
@String{j-TRANS-INFO-PROCESSING-SOC-JAPAN = "Transactions of the Information
                                  Processing Society of Japan"}


key: j-Z-OPER-RES
value: Zeitschrift fur Operations Research. Mathematical Methods of Operations Research
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entry:
@String{j-Z-OPER-RES            = "Zeitschrift f{\"u}r Operations Research.
                                  Mathematical Methods of Operations Research"}


key: j-ZOR-MATH-METHODS-OPER-RES
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entry:
@String{j-ZOR-MATH-METHODS-OPER-RES = "ZOR --- Mathematical Methods of
                                  Operations Research"}


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value: 1109 Spring Street, Suite 300, Silver Spring, MD 20910, USA
filename: borwein-jonathan-m.bib
entry:
@String{pub-IEEE:adr            = "1109 Spring Street, Suite 300,
                                  Silver Spring, MD 20910, USA"}


key: pub-KLUWER:adr
value: Norwell, MA, USA, and Dordrecht, The Netherlands
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entry:
@String{pub-KLUWER:adr          = "Norwell, MA, USA, and Dordrecht,
                                  The Netherlands"}


key: pub-REIDEL:adr
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filename: borwein-jonathan-m.bib
entry:
@String{pub-REIDEL:adr          = "Dordrecht, The Netherlands; Boston, MA, USA;
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entry:
@String{pub-SIAM                = "Society for Industrial and Applied
                                  Mathematics"}


key: pub-SV:adr
value: Berlin, Germany~/ Heidelberg, Germany~/ London, UK~/ etc.
filename: borwein-jonathan-m.bib
entry:
@String{pub-SV:adr              = "Berlin, Germany~/ Heidelberg,
                                  Germany~/ London, UK~/ etc."}


# bibtab

bibtype: mastersthesis
filename: borwein-jonathan-m.bib
label: Borwein:1972:MON
author: Jonathan Michael Borwein
title: Monotone Operators and Non-Linear Functional Analysis
type: M.Sc. thesis
school: Oxford University
address: Oxford, UK
year: 1972
bibdate: Thu Aug 11 17:24:59 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 17:24:59 ???
remark: Not found in Proquest or in Oxford Solo catalog.
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Jonathan Michael Borwein
rawtitle: Monotone Operators and Non-Linear Functional Analysis
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@MastersThesis{Borwein:1972:MON,
  author =       "Jonathan Michael Borwein",
  title =        "Monotone Operators and Non-Linear Functional
                 Analysis",
  type =         "{M.Sc.} thesis",
  school =       "Oxford University",
  address =      "Oxford, UK",
  year =         "1972",
  bibdate =      "Thu Aug 11 17:24:59 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "Not found in Proquest or in Oxford Solo catalog.",
}


bibtype: phdthesis
filename: borwein-jonathan-m.bib
label: Borwein:1974:ORP
author: Jonathan Michael Borwein
title: Optimization with respect to partial orderings
type: D.Phil. thesis
school: Oxford University
address: Oxford, UK
pages: 200
year: 1974
bibdate: Wed Aug 10 10:59:56 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 10:59:56 ???
URL: http://search.proquest.com/pqdtglobal/docview/1767375969/
acknowledgement: ack-nhfb
advisor: M. A. H. (Michael Alan Howarth) Dempster
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Jonathan Michael Borwein
rawtitle: Optimization with respect to partial orderings
ORCID: Borwein, Jonathan/0000-0002-1263-0646
remark:
Found in Proquest, but not available for viewing. Oxford Solo catalog identifies physical location as Radcliffe Science Library.

entry:
@PhdThesis{Borwein:1974:ORP,
  author =       "Jonathan Michael Borwein",
  title =        "Optimization with respect to partial orderings",
  type =         "{D.Phil.} thesis",
  school =       "Oxford University",
  address =      "Oxford, UK",
  pages =        "200",
  year =         "1974",
  bibdate =      "Wed Aug 10 10:59:56 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://search.proquest.com/pqdtglobal/docview/1767375969/",
  acknowledgement = ack-nhfb,
  advisor =      "M. A. H. (Michael Alan Howarth) Dempster",
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "Found in Proquest, but not available for viewing.
                 Oxford Solo catalog identifies physical location as
                 Radcliffe Science Library.",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1976:FPD
author: J. M. Borwein
title: Fractional programming without differentiability
journal: j-MATH-PROG
volume: 11
number: 1
pages: 283--290
year: 1976
CODEN: MHPGA4
DOI: https://doi.org/10.1007/BF01580396
ISSN: 0025-5610 (print), 1436-4646 (electronic) OR 00255610 (print), 14364646 (electronic)
ISSNL: 0025-5610 OR 00255610
MRclass: 90C10 (65K05)
MRnumber: 0449664
MRreviewer: Siegfried Schaible
bibdate: Thu Aug 11 09:36:22 MDT 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 09:36:22 MDT
URL: http://docserver.carma.newcastle.edu.au/1671/; http://link.springer.com/article/10.1007/BF01580396
fjournal: Mathematical Programming
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://link.springer.com/journal/10107
rawauthor: J. M. Borwein
rawtitle: Fractional programming without differentiability
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Borwein:1976:FPD,
  author =       "J. M. Borwein",
  title =        "Fractional programming without differentiability",
  journal =      j-MATH-PROG,
  volume =       "11",
  number =       "1",
  pages =        "283--290",
  year =         "1976",
  CODEN =        "MHPGA4",
  DOI =          "https://doi.org/10.1007/BF01580396",
  ISSN =         "0025-5610 (print), 1436-4646 (electronic)",
  ISSN-L =       "0025-5610",
  MRclass =      "90C10 (65K05)",
  MRnumber =     "0449664",
  MRreviewer =   "Siegfried Schaible",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1671/;
                 http://link.springer.com/article/10.1007/BF01580396",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Mathematical Programming",
  journal-URL =  "http://link.springer.com/journal/10107",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  xxnumber =     "3",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1976:NFJ
author: J. M. Borwein
title: A note on Fritz John sufficiency
journal: j-BULL-AUSTRAL-MATH-SOC
volume: 15
number: 2
pages: 293--296
month: oct
monthnumber: 10
year: 1976
CODEN: ALNBAB
DOI: https://doi.org/10.1017/S0004972700022656
ISSN: 0004-9727 (print), 1755-1633 (electronic) OR 00049727 (print), 17551633 (electronic)
ISSNL: 0004-9727 OR 00049727
MRclass: 90C30
MRnumber: 0426851
MRreviewer: R. N. Kaul
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
fjournal: Bulletin of the Australian Mathematical Society
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://journals.cambridge.org/action/displayJournal?jid=BAZ
rawauthor: J. M. Borwein
rawtitle: A note on {Fritz John} sufficiency
ORCID: Borwein, Jonathan/0000-0002-1263-0646
URL:
http://docserver.carma.newcastle.edu.au/1515/; http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=4812456

entry:
@Article{Borwein:1976:NFJ,
  author =       "J. M. Borwein",
  title =        "A note on {Fritz John} sufficiency",
  journal =      j-BULL-AUSTRAL-MATH-SOC,
  volume =       "15",
  number =       "2",
  pages =        "293--296",
  month =        oct,
  year =         "1976",
  CODEN =        "ALNBAB",
  DOI =          "https://doi.org/10.1017/S0004972700022656",
  ISSN =         "0004-9727 (print), 1755-1633 (electronic)",
  ISSN-L =       "0004-9727",
  MRclass =      "90C30",
  MRnumber =     "0426851",
  MRreviewer =   "R. N. Kaul",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1515/;
                 http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=4812456",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Bulletin of the Australian Mathematical Society",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=BAZ",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1976:TCC
author: J. Borwein and R. O'Brien
title: Tangent cones and convexity
journal: j-CAN-MATH-BULL
volume: 19
number: 3
pages: 257--261
year: 1976
CODEN: CMBUA3
DOI: https://doi.org/10.4153/CMB-1976-040-x
ISSN: 0008-4395 (print), 1496-4287 (electronic) OR 00084395 (print), 14964287 (electronic)
ISSNL: 0008-4395 OR 00084395
MRclass: 46A99 (52A05)
MRnumber: 0454586
MRreviewer: A. Gopfert
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://docserver.carma.newcastle.edu.au/1517/
fjournal: Canadian Mathematical Bulletin. Bulletin Canadien de Mathematiques
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://cms.math.ca/cmb/
rawauthor: J. Borwein and R. O'Brien
rawtitle: Tangent cones and convexity
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Borwein:1976:TCC,
  author =       "J. Borwein and R. O'Brien",
  title =        "Tangent cones and convexity",
  journal =      j-CAN-MATH-BULL,
  volume =       "19",
  number =       "3",
  pages =        "257--261",
  year =         "1976",
  CODEN =        "CMBUA3",
  DOI =          "https://doi.org/10.4153/CMB-1976-040-x",
  ISSN =         "0008-4395 (print), 1496-4287 (electronic)",
  ISSN-L =       "0008-4395",
  MRclass =      "46A99 (52A05)",
  MRnumber =     "0454586",
  MRreviewer =   "A. Gopfert",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1517/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  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",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1976:VS
author: J. Borwein and M. Edelstein and R. O'Brien
title: Visibility and Starshape
journal: j-J-LOND-MATH-SOC-2
volume: S2-14
number: 2
pages: 313--318
month: nov
monthnumber: 11
year: 1976
CODEN: JLMSAK
DOI: https://doi.org/10.1112/jlms/s2-14.2.313
ISSN: 0024-6107 (print), 1469-7750 (electronic) OR 00246107 (print), 14697750 (electronic)
ISSNL: 0024-6107 OR 00246107
MRclass: 46B05
MRnumber: 0428010
MRreviewer: Bor-Luh Lin
bibdate: Fri Aug 12 16:38:27 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.12 16:38:27 ???
fjournal: Journal of the London Mathematical Society (series 2)
acknowledgement: ack-nhfb
ajournal: J. Lond. Math. Soc. (2)
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://jlms.oxfordjournals.org/content/by/year
rawauthor: J. Borwein and M. Edelstein and R. O'Brien
rawtitle: Visibility and Starshape
ORCID: Borwein, Jonathan/0000-0002-1263-0646
URL:
http://docserver.carma.newcastle.edu.au/1670/; http://jlms.oxfordjournals.org/content/s2-14/2/313.full.pdf+html

entry:
@Article{Borwein:1976:VS,
  author =       "J. Borwein and M. Edelstein and R. O'Brien",
  title =        "Visibility and Starshape",
  journal =      j-J-LOND-MATH-SOC-2,
  volume =       "S2-14",
  number =       "2",
  pages =        "313--318",
  month =        nov,
  year =         "1976",
  CODEN =        "JLMSAK",
  DOI =          "https://doi.org/10.1112/jlms/s2-14.2.313",
  ISSN =         "0024-6107 (print), 1469-7750 (electronic)",
  ISSN-L =       "0024-6107",
  MRclass =      "46B05",
  MRnumber =     "0428010",
  MRreviewer =   "Bor-Luh Lin",
  bibdate =      "Fri Aug 12 16:38:27 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1670/;
                 http://jlms.oxfordjournals.org/content/s2-14/2/313.full.pdf+html",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Lond. Math. Soc. (2)",
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of the London Mathematical Society (series
                 2)",
  journal-URL =  "http://jlms.oxfordjournals.org/content/by/year",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1977:MCO
author: J. Borwein
title: Multivalued convexity and optimization: a unified approach to inequality and equality constraints
journal: j-MATH-PROG
volume: 13
number: 2
pages: 183--199
year: 1977
CODEN: MHPGA4
DOI: https://doi.org/10.1007/BF01584336
ISSN: 0025-5610 (print), 1436-4646 (electronic) OR 00255610 (print), 14364646 (electronic)
ISSNL: 0025-5610 OR 00255610
MRclass: 52A40 (90C25)
MRnumber: 0451166
MRreviewer: J. Stoer
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://docserver.carma.newcastle.edu.au/1669/; http://link.springer.com/article/10.1007/BF01584336
fjournal: Mathematical Programming
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://link.springer.com/journal/10107
rawauthor: J. Borwein
rawtitle: Multivalued convexity and optimization: a unified approach to inequality and equality constraints
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Borwein:1977:MCO,
  author =       "J. Borwein",
  title =        "Multivalued convexity and optimization: a unified
                 approach to inequality and equality constraints",
  journal =      j-MATH-PROG,
  volume =       "13",
  number =       "2",
  pages =        "183--199",
  year =         "1977",
  CODEN =        "MHPGA4",
  DOI =          "https://doi.org/10.1007/BF01584336",
  ISSN =         "0025-5610 (print), 1436-4646 (electronic)",
  ISSN-L =       "0025-5610",
  MRclass =      "52A40 (90C25)",
  MRnumber =     "0451166",
  MRreviewer =   "J. Stoer",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1669/;
                 http://link.springer.com/article/10.1007/BF01584336",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Mathematical Programming",
  journal-URL =  "http://link.springer.com/journal/10107",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1977:PEH
author: J. Borwein
title: A proof of the equivalence of Helly's and Krasnoselski's theorems
journal: j-CAN-MATH-BULL
volume: 20
number: 1
pages: 35--37
month: mar
monthnumber: 3
year: 1977
CODEN: CMBUA3
DOI: https://doi.org/10.4153/CMB-1977-007-4
ISSN: 0008-4395 (print), 1496-4287 (electronic) OR 00084395 (print), 14964287 (electronic)
ISSNL: 0008-4395 OR 00084395
MRclass: 52A35
MRnumber: 0478014
MRreviewer: John D. Baildon
bibdate: Wed Aug 10 11:09:47 2016
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://docserver.carma.newcastle.edu.au/1518/
fjournal: Canadian Mathematical Bulletin. Bulletin Canadien de Mathematiques
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://cms.math.ca/cmb/
rawauthor: J. Borwein
rawtitle: A proof of the equivalence of {Helly}'s and {Krasnoselski}'s theorems
ORCID: Borwein, Jonathan/0000-0002-1263-0646
bibsource:
http://cms.math.ca/cmb/v20/; https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; https://www.math.utah.edu/pub/tex/bib/canmathbull.bib

entry:
@Article{Borwein:1977:PEH,
  author =       "J. Borwein",
  title =        "A proof of the equivalence of {Helly}'s and
                 {Krasnoselski}'s theorems",
  journal =      j-CAN-MATH-BULL,
  volume =       "20",
  number =       "1",
  pages =        "35--37",
  month =        mar,
  year =         "1977",
  CODEN =        "CMBUA3",
  DOI =          "https://doi.org/10.4153/CMB-1977-007-4",
  ISSN =         "0008-4395 (print), 1496-4287 (electronic)",
  ISSN-L =       "0008-4395",
  MRclass =      "52A35",
  MRnumber =     "0478014",
  MRreviewer =   "John D. Baildon",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "http://cms.math.ca/cmb/v20/;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/canmathbull.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1518/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  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",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1977:PEP
author: J. Borwein
title: Proper Efficient Points for Maximizations with Respect to Cones
journal: j-SIAM-J-CONTROL-OPTIM
volume: 15
number: 1
pages: 57--63
month: jan
monthnumber: 1
year: 1977
CODEN: SJCODC
DOI: https://doi.org/10.1137/0315004
ISSN: 0363-0129 (print), 1095-7138 (electronic) OR 03630129 (print), 10957138 (electronic)
ISSNL: 0363-0129 OR 03630129
MRclass: 90C30 (65K05 49B99)
MRnumber: 0434441
MRreviewer: M. Rossler
bibdate: Wed Aug 10 11:09:47 2016
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://docserver.carma.newcastle.edu.au/1667/
fjournal: SIAM Journal on Control and Optimization
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://epubs.siam.org/sicon
journalabr: SIAM J Control Optim
onlinedate: January 1977
rawauthor: J. Borwein
rawtitle: Proper Efficient Points for Maximizations with Respect to Cones
ORCID: Borwein, Jonathan/0000-0002-1263-0646
bibsource:
http://epubs.siam.org/sam-bin/dbq/toclist/SICON/15/1; https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; https://www.math.utah.edu/pub/tex/bib/siamjcontroloptim.bib

entry:
@Article{Borwein:1977:PEP,
  author =       "J. Borwein",
  title =        "Proper Efficient Points for Maximizations with Respect
                 to Cones",
  journal =      j-SIAM-J-CONTROL-OPTIM,
  volume =       "15",
  number =       "1",
  pages =        "57--63",
  month =        jan,
  year =         "1977",
  CODEN =        "SJCODC",
  DOI =          "https://doi.org/10.1137/0315004",
  ISSN =         "0363-0129 (print), 1095-7138 (electronic)",
  ISSN-L =       "0363-0129",
  MRclass =      "90C30 (65K05 49B99)",
  MRnumber =     "0434441",
  MRreviewer =   "M. Rossler",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toclist/SICON/15/1;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjcontroloptim.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1667/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "SIAM Journal on Control and Optimization",
  journal-URL =  "http://epubs.siam.org/sicon",
  journalabr =   "SIAM J Control Optim",
  onlinedate =   "January 1977",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1977:SRV
author: J. Borwein and M. Edelstein and R. O'Brien
title: Some remarks on visibility and starshape
journal: j-J-LOND-MATH-SOC-2
volume: S2-15
number: 2
pages: 342--344
month: apr
monthnumber: 4
year: 1977
CODEN: JLMSAK
DOI: https://doi.org/10.1112/jlms/s2-15.2.342
ISSN: 0024-6107 (print), 1469-7750 (electronic) OR 00246107 (print), 14697750 (electronic)
ISSNL: 0024-6107 OR 00246107
MRclass: 46A99
MRnumber: 0442642
MRreviewer: Bor-Luh Lin
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
fjournal: Journal of the London Mathematical Society (series 2)
acknowledgement: ack-nhfb
ajournal: J. Lond. Math. Soc. (2)
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://jlms.oxfordjournals.org/content/by/year
rawauthor: J. Borwein and M. Edelstein and R. O'Brien
rawtitle: Some remarks on visibility and starshape
ORCID: Borwein, Jonathan/0000-0002-1263-0646
URL:
http://docserver.carma.newcastle.edu.au/1666/; http://jlms.oxfordjournals.org/content/s2-15/2/342.full.pdf+html

entry:
@Article{Borwein:1977:SRV,
  author =       "J. Borwein and M. Edelstein and R. O'Brien",
  title =        "Some remarks on visibility and starshape",
  journal =      j-J-LOND-MATH-SOC-2,
  volume =       "S2-15",
  number =       "2",
  pages =        "342--344",
  month =        apr,
  year =         "1977",
  CODEN =        "JLMSAK",
  DOI =          "https://doi.org/10.1112/jlms/s2-15.2.342",
  ISSN =         "0024-6107 (print), 1469-7750 (electronic)",
  ISSN-L =       "0024-6107",
  MRclass =      "46A99",
  MRnumber =     "0442642",
  MRreviewer =   "Bor-Luh Lin",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1666/;
                 http://jlms.oxfordjournals.org/content/s2-15/2/342.full.pdf+html",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Lond. Math. Soc. (2)",
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of the London Mathematical Society (series
                 2)",
  journal-URL =  "http://jlms.oxfordjournals.org/content/by/year",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: misc
filename: borwein-jonathan-m.bib
label: Borwein:1977:WLP
author: J. M. Borwein
title: The William Lowell Putnam Competition. A Brief History
pages: 9
day: 26
month: jan
monthnumber: 1
year: 1977
bibdate: Mon Nov 07 06:59:36 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.11.07 06:59:36 ???
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
howpublished: Unpublished notes.
rawauthor: J. M. Borwein
rawtitle: The {William Lowell Putnam} Competition. {A} Brief History
ORCID: Borwein, Jonathan/0000-0002-1263-0646
abstract:
In December 1921 William Lowell Putnam, a magna cum laude Mathematics graduate of the Harvard class of 1882, wrote in the Harvard Graduate Magazine on ``A Suggestion For Increasing The Undergraduate Interest In Studies''. He noted that all prizes for scholarship were individual and suggested that ``a Harvard man prefers for example to be a member of a tennis team to play against Yale ldots rather than to be champion of Harvard'' and that the same principle of team work and team competition ``which has inspired young men to undertake and undergo so much for the sake of athletic victories might accomplish some result in academic fields''. These sentiments, and others which seem even more dated, would probably have had no effect were it not that Putnam's wife was a Lowell, was extremely rich and was the sister of then President Abbott Lowell of Harvard. Putnam's mother was also a Lowell while his father was a Unitarian with all the right connections and memberships who founded the English Speaking Union among other organizations and wrote prodigiously on many learned topics

rawabstract:
In December 1921 William Lowell Putnam, a magna cum laude Mathematics graduate of the Harvard class of 1882, wrote in the Harvard Graduate Magazine on ``A Suggestion For Increasing The Undergraduate Interest In Studies''. He noted that all prizes for scholarship were individual and suggested that ``a Harvard man prefers for example to be a member of a tennis team to play against Yale \ldots{} rather than to be champion of Harvard'' and that the same principle of team work and team competition ``which has inspired young men to undertake and undergo so much for the sake of athletic victories might accomplish some result in academic fields''. These sentiments, and others which seem even more dated, would probably have had no effect were it not that Putnam's wife was a Lowell, was extremely rich and was the sister of then President Abbott Lowell of Harvard. Putnam's mother was also a Lowell while his father was a Unitarian with all the right connections and memberships who founded the English Speaking Union among other organizations and wrote prodigiously on many learned topics

entry:
@Misc{Borwein:1977:WLP,
  author =       "J. M. Borwein",
  title =        "The {William Lowell Putnam} Competition. {A} Brief
                 History",
  howpublished = "Unpublished notes.",
  pages =        "9",
  day =          "26",
  month =        jan,
  year =         "1977",
  bibdate =      "Mon Nov 07 06:59:36 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  abstract =     "In December 1921 William Lowell Putnam, a magna cum
                 laude Mathematics graduate of the Harvard class of
                 1882, wrote in the Harvard Graduate Magazine on ``A
                 Suggestion For Increasing The Undergraduate Interest In
                 Studies''. He noted that all prizes for scholarship
                 were individual and suggested that ``a Harvard man
                 prefers for example to be a member of a tennis team to
                 play against Yale \ldots{} rather than to be champion
                 of Harvard'' and that the same principle of team work
                 and team competition ``which has inspired young men to
                 undertake and undergo so much for the sake of athletic
                 victories might accomplish some result in academic
                 fields''. These sentiments, and others which seem even
                 more dated, would probably have had no effect were it
                 not that Putnam's wife was a Lowell, was extremely rich
                 and was the sister of then President Abbott Lowell of
                 Harvard. Putnam's mother was also a Lowell while his
                 father was a Unitarian with all the right connections
                 and memberships who founded the English Speaking Union
                 among other organizations and wrote prodigiously on
                 many learned topics",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1978:CCC
author: J. M. Borwein and R. C. O'Brien
title: Cancellation characterizes convexity
journal: Nanta Mathematica
volume: 11
number: 1
pages: 100--102
year: 1978
CODEN: NAMAB2
ISSN: 0077-2739 OR 00772739
MRclass: 52A20
MRnumber: 510842
MRreviewer: John D. Baildon
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://docserver.carma.newcastle.edu.au/1659/
fjournal: Nanyang University. Nanta Mathematica
acknowledgement: ack-nhfb
ajournal: Nanta Math.
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: J. M. Borwein and R. C. O'Brien
rawtitle: Cancellation characterizes convexity
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Borwein:1978:CCC,
  author =       "J. M. Borwein and R. C. O'Brien",
  title =        "Cancellation characterizes convexity",
  journal =      "Nanta Mathematica",
  volume =       "11",
  number =       "1",
  pages =        "100--102",
  year =         "1978",
  CODEN =        "NAMAB2",
  ISSN =         "0077-2739",
  MRclass =      "52A20",
  MRnumber =     "510842",
  MRreviewer =   "John D. Baildon",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1659/",
  acknowledgement = ack-nhfb,
  ajournal =     "Nanta Math.",
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Nanyang University. Nanta Mathematica",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1978:SEF
author: J. M. Borwein
title: On strongly exposing functionals
journal: j-PROC-AM-MATH-SOC
volume: 69
number: 1
pages: 46--48
year: 1978
CODEN: PAMYAR
ISSN: 0002-9939 (print), 1088-6826 (electronic) OR 00029939 (print), 10886826 (electronic)
ISSNL: 0002-9939 OR 00029939
MRclass: 46B99 (52A05)
MRnumber: 0493272
MRreviewer: Ka Sing Lau
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://docserver.carma.newcastle.edu.au/1665/; http://www.jstor.org/stable/2043185
fjournal: Proceedings of the American Mathematical Society
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://www.ams.org/journals/proc
rawauthor: J. M. Borwein
rawtitle: On strongly exposing functionals
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Borwein:1978:SEF,
  author =       "J. M. Borwein",
  title =        "On strongly exposing functionals",
  journal =      j-PROC-AM-MATH-SOC,
  volume =       "69",
  number =       "1",
  pages =        "46--48",
  year =         "1978",
  CODEN =        "PAMYAR",
  ISSN =         "0002-9939 (print), 1088-6826 (electronic)",
  ISSN-L =       "0002-9939",
  MRclass =      "46B99 (52A05)",
  MRnumber =     "0493272",
  MRreviewer =   "Ka Sing Lau",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1665/;
                 http://www.jstor.org/stable/2043185",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Proceedings of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/proc",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1978:TCS
author: J. M. Borwein
title: Tangent cones, starshape and convexity
journal: j-INT-J-MATH-MATH-SCI
volume: 1
number: 4
pages: 459--477
year: 1978
DOI: https://doi.org/10.1155/S0161171278000460
ISSN: 0161-1712 (print), 1687-0425 (electronic) OR 01611712 (print), 16870425 (electronic)
ISSNL: 0161-1712 OR 01611712
MRclass: 52A30 (90C30)
MRnumber: 517949
MRreviewer: Gerald Beer
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://docserver.carma.newcastle.edu.au/1663/
fjournal: International Journal of Mathematics and Mathematical Sciences
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: https://www.hindawi.com/journals/ijmms/
rawauthor: J. M. Borwein
rawtitle: Tangent cones, starshape and convexity
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Borwein:1978:TCS,
  author =       "J. M. Borwein",
  title =        "Tangent cones, starshape and convexity",
  journal =      j-INT-J-MATH-MATH-SCI,
  volume =       "1",
  number =       "4",
  pages =        "459--477",
  year =         "1978",
  DOI =          "https://doi.org/10.1155/S0161171278000460",
  ISSN =         "0161-1712 (print), 1687-0425 (electronic)",
  ISSN-L =       "0161-1712",
  MRclass =      "52A30 (90C30)",
  MRnumber =     "517949",
  MRreviewer =   "Gerald Beer",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1663/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "International Journal of Mathematics and Mathematical
                 Sciences",
  journal-URL =  "https://www.hindawi.com/journals/ijmms/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1978:WTC
author: J. Borwein
title: Weak Tangent Cones and Optimization in a Banach Space
journal: j-SIAM-J-CONTROL-OPTIM
volume: 16
number: 3
pages: 512--522
month: may
monthnumber: 5
year: 1978
CODEN: SJCODC
DOI: https://doi.org/10.1137/0316034
ISSN: 0363-0129 (print), 1095-7138 (electronic) OR 03630129 (print), 10957138 (electronic)
ISSNL: 0363-0129 OR 03630129
MRclass: 65K05 (90C99)
MRnumber: 0478612
bibdate: Wed Aug 10 11:09:47 2016
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://docserver.carma.newcastle.edu.au/1664/
fjournal: SIAM Journal on Control and Optimization
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://epubs.siam.org/sicon
journalabr: SIAM J Control Optim
onlinedate: May 1978
rawauthor: J. Borwein
rawtitle: Weak Tangent Cones and Optimization in a {Banach} Space
ORCID: Borwein, Jonathan/0000-0002-1263-0646
bibsource:
http://epubs.siam.org/sam-bin/dbq/toclist/SICON/16/3; https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; https://www.math.utah.edu/pub/tex/bib/siamjcontroloptim.bib

entry:
@Article{Borwein:1978:WTC,
  author =       "J. Borwein",
  title =        "Weak Tangent Cones and Optimization in a {Banach}
                 Space",
  journal =      j-SIAM-J-CONTROL-OPTIM,
  volume =       "16",
  number =       "3",
  pages =        "512--522",
  month =        may,
  year =         "1978",
  CODEN =        "SJCODC",
  DOI =          "https://doi.org/10.1137/0316034",
  ISSN =         "0363-0129 (print), 1095-7138 (electronic)",
  ISSN-L =       "0363-0129",
  MRclass =      "65K05 (90C99)",
  MRnumber =     "0478612",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toclist/SICON/16/3;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjcontroloptim.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1664/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "SIAM Journal on Control and Optimization",
  journal-URL =  "http://epubs.siam.org/sicon",
  journalabr =   "SIAM J Control Optim",
  onlinedate =   "May 1978",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: unpublished
filename: borwein-jonathan-m.bib
label: Borwein:1979:CD
author: J. M. Borwein
title: On convex decompositions
pages: 512--522
year: 1979
bibdate: Fri Aug 12 16:51:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.12 16:51:47 ???
URL: http://docserver.carma.newcastle.edu.au/1672/
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: J. M. Borwein
rawtitle: On convex decompositions
ORCID: Borwein, Jonathan/0000-0002-1263-0646
note:
Accepted for publication in booktitle Nanta Mathematica, but the journal ceased publication in 1979 before the paper appeared.

rawnote:
Accepted for publication in \booktitle{Nanta Mathematica}, but the journal ceased publication in 1979 before the paper appeared.

entry:
@Unpublished{Borwein:1979:CD,
  author =       "J. M. Borwein",
  title =        "On convex decompositions",
  year =         "1979",
  bibdate =      "Fri Aug 12 16:51:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Accepted for publication in \booktitle{Nanta
                 Mathematica}, but the journal ceased publication in
                 1979 before the paper appeared.",
  URL =          "http://docserver.carma.newcastle.edu.au/1672/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: techreport
filename: borwein-jonathan-m.bib
label: Borwein:1979:COA
author: J. M. Borwein and H. Wolkowicz
title: Characterizations of Optimality for the Abstract Convex Program
type: Research Report
number: 19
institution: Department of Mathematics, Dalhousie University
address: Halifax, NS, Canada
pages: 54
month: jul
monthnumber: 7
year: 1979
bibdate: Tue Nov 08 15:45:14 2016
bibtimestamp: 2016.11.08 15:45:14 ???
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: J. M. Borwein and H. Wolkowicz
rawtitle: Characterizations of Optimality for the Abstract Convex Program
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/w/wolkowicz-henry.bib

abstract:
This paper presents characterizations of optimality for the convex program $$ (p) mu = inf p(x) colon g(x) in - S, x in Omega $$ when $S$ is an arbitrary convex cone in a finite dimensional space, $ Omega $ is a convex set and $p$ and $g$ are respectively convex and S-convex(on $ Omega $). These characterizations, which include a Lagrange multiplier and do not presume any a priori constraint qualification, subsume those presently in the literature.

keywords:
abstract programming; cone of positive semi-definite matrices; convexity; duality principles; facial reduction; Lagrange multipliers; Slater's condition; subgradients; symmetric matrices

rawabstract:
This paper presents characterizations of optimality for the convex program $$ (p) \mu = \inf \{ p(x) \colon g(x) \in - S, x \in \Omega \} $$ when $S$ is an arbitrary convex cone in a finite dimensional space, $ \Omega $ is a convex set and $p$ and $g$ are respectively convex and S-convex(on $ \Omega $). These characterizations, which include a Lagrange multiplier and do not presume any a priori constraint qualification, subsume those presently in the literature.

entry:
@TechReport{Borwein:1979:COA,
  author =       "J. M. Borwein and H. Wolkowicz",
  title =        "Characterizations of Optimality for the Abstract
                 Convex Program",
  type =         "Research Report",
  number =       "19",
  institution =  "Department of Mathematics, Dalhousie University",
  address =      "Halifax, NS, Canada",
  pages =        "54",
  month =        jul,
  year =         "1979",
  bibdate =      "Tue Nov 08 15:45:14 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  abstract =     "This paper presents characterizations of optimality
                 for the convex program $$ (p) \mu = \inf \{ p(x) \colon
                 g(x) \in - S, x \in \Omega \} $$ when $S$ is an
                 arbitrary convex cone in a finite dimensional space, $
                 \Omega $ is a convex set and $p$ and $g$ are
                 respectively convex and S-convex(on $ \Omega $). These
                 characterizations, which include a Lagrange multiplier
                 and do not presume any a priori constraint
                 qualification, subsume those presently in the
                 literature.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  keywords =     "abstract programming; cone of positive semi-definite
                 matrices; convexity; duality principles; facial
                 reduction; Lagrange multipliers; Slater's condition;
                 subgradients; symmetric matrices",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: techreport
filename: borwein-jonathan-m.bib
label: Borwein:1979:COC
author: J. M. Borwein and H. Wolkowicz
title: Characterizations of optimality without constraint qualification for the abstract convex program
type: Research Report
number: 14
institution: Department of Mathematics, Dalhousie University
address: Halifax, NS, Canada
pages: 59
month: jun
monthnumber: 6
year: 1979
bibdate: Tue Nov 08 15:45:14 2016
bibtimestamp: 2016.11.08 15:45:14 ???
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: J. M. Borwein and H. Wolkowicz
rawtitle: Characterizations of optimality without constraint qualification for the abstract convex program
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/w/wolkowicz-henry.bib

entry:
@TechReport{Borwein:1979:COC,
  author =       "J. M. Borwein and H. Wolkowicz",
  title =        "Characterizations of optimality without constraint
                 qualification for the abstract convex program",
  type =         "Research Report",
  number =       "14",
  institution =  "Department of Mathematics, Dalhousie University",
  address =      "Halifax, NS, Canada",
  pages =        "59",
  month =        jun,
  year =         "1979",
  bibdate =      "Tue Nov 08 15:45:14 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: techreport
filename: borwein-jonathan-m.bib
label: Borwein:1979:DTS
author: J. M. Borwein
title: Direct theorems in semi-infinite convex programming
type: Report
number: 11
institution: Department of Mathematics, Dalhousie University
address: Halifax, NS, Canada
pages: 33
month: apr
monthnumber: 4
year: 1979
bibdate: Tue Nov 08 15:45:14 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.11.08 15:45:14 ???
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: J. M. Borwein
rawtitle: Direct theorems in semi-infinite convex programming
ORCID: Borwein, Jonathan/0000-0002-1263-0646
abstract:
Recently Ben-Tal, Ben-Israel and Rossinger [1] have proven a ``direct theorem'' for the existence of finite subprograms for infinitely constrained programming problems with finitely many variables. They did this via a Helly-type theorem for open convex sets due to Klee [10], [7]. The proof of Klee's theorem [10] is somewhat difficult to follow and, in addition, requires the use of the notion of an ``open-closed'' family of sets. One of the purposes of this paper is to provide an entirely self-contained proof of an extension of the result in [1].

rawabstract:
Recently Ben-Tal, Ben-Israel and Rossinger [1] have proven a ``direct theorem'' for the existence of finite subprograms for infinitely constrained programming problems with finitely many variables. They did this via a Helly-type theorem for open convex sets due to Klee [10], [7]. The proof of Klee's theorem [10] is somewhat difficult to follow and, in addition, requires the use of the notion of an ``open-closed'' family of sets. One of the purposes of this paper is to provide an entirely self-contained proof of an extension of the result in [1].

entry:
@TechReport{Borwein:1979:DTS,
  author =       "J. M. Borwein",
  title =        "Direct theorems in semi-infinite convex programming",
  type =         "Report",
  number =       "11",
  institution =  "Department of Mathematics, Dalhousie University",
  address =      "Halifax, NS, Canada",
  pages =        "33",
  month =        apr,
  year =         "1979",
  bibdate =      "Tue Nov 08 15:45:14 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  abstract =     "Recently Ben-Tal, Ben-Israel and Rossinger [1] have
                 proven a ``direct theorem'' for the existence of finite
                 subprograms for infinitely constrained programming
                 problems with finitely many variables. They did this
                 via a Helly-type theorem for open convex sets due to
                 Klee [10], [7]. The proof of Klee's theorem [10] is
                 somewhat difficult to follow and, in addition, requires
                 the use of the notion of an ``open-closed'' family of
                 sets. One of the purposes of this paper is to provide
                 an entirely self-contained proof of an extension of the
                 result in [1].",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: techreport
filename: borwein-jonathan-m.bib
label: Borwein:1979:LLC
author: J. M. Borwein
title: The Limiting Lagrangean as a Consequence of Helly's Theorem
type: Report
number: 7
institution: Department of Mathematics, Dalhousie University
address: Halifax, NS, Canada
pages: 33
month: mar
monthnumber: 3
year: 1979
bibdate: Tue Nov 08 15:34:18 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.11.08 15:34:18 ???
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: J. M. Borwein
rawtitle: The Limiting Lagrangean as a Consequence of {Helly's Theorem}
ORCID: Borwein, Jonathan/0000-0002-1263-0646
abstract:
The perturbational Lagrangean equation established by Jeroslow in convex semi-infinite programming is derived from Helly's Theorem and some prior results on one dimensional perturbations of convex programs.

keywords:
Affine Minorants; convex semi-infinite programming; Helly's Theorem; limiting Lagrangeans; Recession Directions

rawabstract:
The perturbational Lagrangean equation established by Jeroslow in convex semi-infinite programming is derived from Helly's Theorem and some prior results on one dimensional perturbations of convex programs.

entry:
@TechReport{Borwein:1979:LLC,
  author =       "J. M. Borwein",
  title =        "The Limiting Lagrangean as a Consequence of {Helly's
                 Theorem}",
  type =         "Report",
  number =       "7",
  institution =  "Department of Mathematics, Dalhousie University",
  address =      "Halifax, NS, Canada",
  month =        mar,
  year =         "1979",
  bibdate =      "Tue Nov 08 15:34:18 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  abstract =     "The perturbational Lagrangean equation established by
                 Jeroslow in convex semi-infinite programming is derived
                 from Helly's Theorem and some prior results on one
                 dimensional perturbations of convex programs.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  keywords =     "Affine Minorants; convex semi-infinite programming;
                 Helly's Theorem; limiting Lagrangeans; Recession
                 Directions",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1979:MAF
author: J. M. Borwein
title: A multivalued approach to the Farkas lemma
journal: j-MATH-PROG-STUDY
volume: 10
pages: 42--47
year: 1979
CODEN: MPSTDF
DOI: https://doi.org/10.1007/BFb0120842
ISSN: 0303-3929 OR 03033929
ISSNL: 0303-3929 OR 03033929
MRclass: 90C99
MRnumber: 527056
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
note: Point-to-set maps and mathematical programming.
URL: http://docserver.carma.newcastle.edu.au/1660/; http://link.springer.com/chapter/10.1007/BFb0120842
fjournal: Mathematical Programming Study
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: https://link.springer.com/bookseries/8439
rawauthor: J. M. Borwein
rawnote: Point-to-set maps and mathematical programming.
rawtitle: A multivalued approach to the {Farkas} lemma
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Borwein:1979:MAF,
  author =       "J. M. Borwein",
  title =        "A multivalued approach to the {Farkas} lemma",
  journal =      j-MATH-PROG-STUDY,
  volume =       "10",
  pages =        "42--47",
  year =         "1979",
  CODEN =        "MPSTDF",
  DOI =          "https://doi.org/10.1007/BFb0120842",
  ISSN =         "0303-3929",
  ISSN-L =       "0303-3929",
  MRclass =      "90C99",
  MRnumber =     "527056",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Point-to-set maps and mathematical programming.",
  URL =          "http://docserver.carma.newcastle.edu.au/1660/;
                 http://link.springer.com/chapter/10.1007/BFb0120842",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Mathematical Programming Study",
  journal-URL =  "https://link.springer.com/bookseries/8439",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: incollection
filename: borwein-jonathan-m.bib
label: Borwein:1979:MFP
author: J. M. Borwein
booktitle: Third Symposium on Operations Research (Univ. Mannheim, Mannheim, 1978), Section I
title: The minimum of a family of programs
volume: 31
publisher: Hain
pages: 99--111
year: 1979
MRclass: 90C25
MRnumber: 541191
MRreviewer: Jacques Dubois
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
series: Operations Res. Verfahren
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: J. M. Borwein
rawbooktitle: {Third Symposium on Operations Research (Univ. Mannheim, Mannheim, 1978), Section I}
rawtitle: The minimum of a family of programs
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@InCollection{Borwein:1979:MFP,
  author =       "J. M. Borwein",
  booktitle =    "{Third Symposium on Operations Research (Univ.
                 Mannheim, Mannheim, 1978), Section I}",
  title =        "The minimum of a family of programs",
  volume =       "31",
  publisher =    "Hain",
  pages =        "99--111",
  year =         "1979",
  MRclass =      "90C25",
  MRnumber =     "541191",
  MRreviewer =   "Jacques Dubois",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  series =       "Operations Res. Verfahren",
  acknowledgement = ack-nhfb,
  addresss =     "K{\"o}nigstein im Taunus, West Germany",
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1979:MLP
author: Jonathan M. Borwein
title: Monochrome lines in the plane
journal: j-MATH-MAG
volume: 52
number: 1
pages: 41--45
year: 1979
CODEN: MAMGA8
DOI: https://doi.org/10.2307/2689976
ISSN: 0025-570X (print), 1930-0980 (electronic) OR 0025570X (print), 19300980 (electronic)
ISSNL: 0025-570X OR 0025570X
MRclass: 54B20 (57N05)
MRnumber: 524202
MRreviewer: H. W. Lambert
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://docserver.carma.newcastle.edu.au/1662/
fjournal: Mathematics Magazine
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://www.maa.org/pubs/mathmag.html
rawauthor: Jonathan M. Borwein
rawtitle: Monochrome lines in the plane
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Borwein:1979:MLP,
  author =       "Jonathan M. Borwein",
  title =        "Monochrome lines in the plane",
  journal =      j-MATH-MAG,
  volume =       "52",
  number =       "1",
  pages =        "41--45",
  year =         "1979",
  CODEN =        "MAMGA8",
  DOI =          "https://doi.org/10.2307/2689976",
  ISSN =         "0025-570X (print), 1930-0980 (electronic)",
  ISSN-L =       "0025-570X",
  MRclass =      "54B20 (57N05)",
  MRnumber =     "524202",
  MRreviewer =   "H. W. Lambert",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1662/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Mathematics Magazine",
  journal-URL =  "http://www.maa.org/pubs/mathmag.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1979:TVS
author: J. M. Borwein
title: Two variants of Sylvester's theorem
journal: Atlantic Mathematics Bulletin
volume: 3
pages: 11--13
year: 1979
ISSN: 0705-9078 OR 07059078
ISSNL: 0705-9078 OR 07059078
bibdate: Fri Aug 12 16:08:43 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.12 16:08:43 ???
URL: http://docserver.carma.newcastle.edu.au/1658/
fjournal: Atlantic Mathematics Bulletin
acknowledgement: ack-nhfb
ajournal: Atlantic Math. Bull.
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: J. M. Borwein
rawtitle: Two variants of {Sylvester}'s theorem
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Borwein:1979:TVS,
  author =       "J. M. Borwein",
  title =        "Two variants of {Sylvester}'s theorem",
  journal =      "Atlantic Mathematics Bulletin",
  volume =       "3",
  number =       "??",
  pages =        "11--13",
  month =        "????",
  year =         "1979",
  DOI =          "",
  ISSN =         "0705-9078",
  ISSN-L =       "0705-9078",
  bibdate =      "Fri Aug 12 16:08:43 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1658/",
  acknowledgement = ack-nhfb,
  ajournal =     "Atlantic Math. Bull.",
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Atlantic Mathematics Bulletin",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1979:WLS
author: J. M. Borwein
title: Weak local supportability and applications to approximation
journal: j-PAC-J-MATH
volume: 82
number: 2
pages: 323--338
year: 1979
CODEN: PJMAAI
ISSN: 0030-8730 (print), 1945-5844 (electronic) OR 00308730 (print), 19455844 (electronic)
ISSNL: 0030-8730 OR 00308730
MRclass: 46B99 (41A25 49A27 58C20 90C30)
MRnumber: 551692
MRreviewer: Ka Sing Lau
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://projecteuclid.org/euclid.pjm/1102784876
fjournal: Pacific Journal of Mathematics
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://msp.org/pjm
rawauthor: J. M. Borwein
rawtitle: Weak local supportability and applications to approximation
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Borwein:1979:WLS,
  author =       "J. M. Borwein",
  title =        "Weak local supportability and applications to
                 approximation",
  journal =      j-PAC-J-MATH,
  volume =       "82",
  number =       "2",
  pages =        "323--338",
  year =         "1979",
  CODEN =        "PJMAAI",
  ISSN =         "0030-8730 (print), 1945-5844 (electronic)",
  ISSN-L =       "0030-8730",
  MRclass =      "46B99 (41A25 49A27 58C20 90C30)",
  MRnumber =     "551692",
  MRreviewer =   "Ka Sing Lau",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://projecteuclid.org/euclid.pjm/1102784876",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Pacific Journal of Mathematics",
  journal-URL =  "http://msp.org/pjm",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1980:GPE
author: J. M. Borwein
title: The geometry of Pareto efficiency over cones
journal: j-OPTIMIZATION
volume: 11
number: 2
pages: 235--248
year: 1980
CODEN: OPTZDQ
DOI: https://doi.org/10.1080/02331938008842650
ISSN: 0323-3898 OR 03233898
ISSNL: 0233-1934 OR 02331934
MRclass: 90C31 (58E17 90C25 90C30)
MRnumber: 640689
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://www.tandfonline.com/doi/abs/10.1080/02331938008842650
fjournal: Mathematische Operationsforschung und Statistik Series Optimization
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://www.tandfonline.com/loi/gopt20
onlinedate: 5 July 2007
rawauthor: J. M. Borwein
rawtitle: The geometry of {Pareto} efficiency over cones
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
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  author =       "J. M. Borwein",
  title =        "The geometry of {Pareto} efficiency over cones",
  journal =      j-OPTIMIZATION,
  volume =       "11",
  number =       "2",
  pages =        "235--248",
  year =         "1980",
  CODEN =        "OPTZDQ",
  DOI =          "https://doi.org/10.1080/02331938008842650",
  ISSN =         "0323-3898",
  ISSN-L =       "0233-1934",
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  MRnumber =     "640689",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://www.tandfonline.com/doi/abs/10.1080/02331938008842650",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Mathematische Operationsforschung und Statistik Series
                 Optimization",
  journal-URL =  "http://www.tandfonline.com/loi/gopt20",
  onlinedate =   "5 July 2007",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1980:HMC
author: J. Borwein and L. Keener
title: The Hausdorff metric and Cebysev centres
journal: j-J-APPROX-THEORY
volume: 28
number: 4
pages: 366--376
year: 1980
CODEN: JAXTAZ
DOI: https://doi.org/10.1016/0021-9045(80)90071-4
ISSN: 0021-9045 (print), 1096-0430 (electronic) OR 00219045 (print), 10960430 (electronic)
ISSNL: 0021-9045 OR 00219045
MRclass: 41A65 (46B20)
MRnumber: 589992
MRreviewer: S. Cobza{\c{s}}
bibdate: Thu Aug 11 10:27:38 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 10:27:38 ???
fjournal: Journal of Approximation Theory
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://www.sciencedirect.com/science/journal/00219045
rawauthor: J. Borwein and L. Keener
rawtitle: The {Hausdorff} metric and {{\v{C}}eby{\v{s}}ev} centres
ORCID: Borwein, Jonathan/0000-0002-1263-0646
URL:
http://docserver.carma.newcastle.edu.au/1652/; http://www.sciencedirect.com/science/article/pii/0021904580900714

entry:
@Article{Borwein:1980:HMC,
  author =       "J. Borwein and L. Keener",
  title =        "The {Hausdorff} metric and {{\v{C}}eby{\v{s}}ev}
                 centres",
  journal =      j-J-APPROX-THEORY,
  volume =       "28",
  number =       "4",
  pages =        "366--376",
  year =         "1980",
  CODEN =        "JAXTAZ",
  DOI =          "https://doi.org/10.1016/0021-9045(80)90071-4",
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  ISSN-L =       "0021-9045",
  MRclass =      "41A65 (46B20)",
  MRnumber =     "589992",
  MRreviewer =   "S. Cobza{\c{s}}",
  bibdate =      "Thu Aug 11 10:27:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1652/;
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  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Approximation Theory",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219045",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1980:LM
author: J. M. Borwein
title: Lexicographic multipliers
journal: j-J-MATH-ANAL-APPL
volume: 78
number: 1
pages: 309--327
year: 1980
CODEN: JMANAK
DOI: https://doi.org/10.1016/0022-247X(80)90228-0
ISSN: 0022-247X (print), 1096-0813 (electronic) OR 0022247X (print), 10960813 (electronic)
ISSNL: 0022-247X OR 0022247X
MRclass: 90C25 (58C20)
MRnumber: 595782
bibdate: Thu Aug 11 10:27:38 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 10:27:38 ???
fjournal: Journal of Mathematical Analysis and Applications
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://www.sciencedirect.com/science/journal/0022247X
rawauthor: J. M. Borwein
rawtitle: Lexicographic multipliers
ORCID: Borwein, Jonathan/0000-0002-1263-0646
URL:
http://docserver.carma.newcastle.edu.au/1653/; http://www.sciencedirect.com/science/article/pii/0022247X80902280

entry:
@Article{Borwein:1980:LM,
  author =       "J. M. Borwein",
  title =        "Lexicographic multipliers",
  journal =      j-J-MATH-ANAL-APPL,
  volume =       "78",
  number =       "1",
  pages =        "309--327",
  year =         "1980",
  CODEN =        "JMANAK",
  DOI =          "https://doi.org/10.1016/0022-247X(80)90228-0",
  ISSN =         "0022-247X (print), 1096-0813 (electronic)",
  ISSN-L =       "0022-247X",
  MRclass =      "90C25 (58C20)",
  MRnumber =     "595782",
  bibdate =      "Thu Aug 11 10:27:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1653/;
                 http://www.sciencedirect.com/science/article/pii/0022247X80902280",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Mathematical Analysis and Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/0022247X",
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}


bibtype: techreport
filename: borwein-jonathan-m.bib
label: Borwein:1980:LMT
author: J. M. Borwein
title: A Lagrange Multiplier Theorem and a Sandwich Theorem for Convex Relations
type: Research Report
number: 80-1
institution: Department of Mathematics, Dalhousie University
address: Halifax, NS, Canada
pages: 26
day: 15
month: jan
monthnumber: 1
year: 1980
bibdate: Tue Nov 08 15:45:14 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.11.08 15:45:14 ???
keywords: convex relations; Fenchel's theorem; Lagrange multipliers; order complete spaces; separation
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: J. M. Borwein
rawtitle: A {Lagrange} Multiplier Theorem and a Sandwich Theorem for Convex Relations
ORCID: Borwein, Jonathan/0000-0002-1263-0646
abstract:
We formulate and prove various separation principles for convex relations taking values in an order complete vector space. These principles subsume the standard ones

rawabstract:
We formulate and prove various separation principles for convex relations taking values in an order complete vector space. These principles subsume the standard ones

entry:
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  author =       "J. M. Borwein",
  title =        "A {Lagrange} Multiplier Theorem and a Sandwich Theorem
                 for Convex Relations",
  type =         "Research Report",
  number =       "80-1",
  institution =  "Department of Mathematics, Dalhousie University",
  address =      "Halifax, NS, Canada",
  pages =        "26",
  day =          "15",
  month =        jan,
  year =         "1980",
  bibdate =      "Tue Nov 08 15:45:14 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  abstract =     "We formulate and prove various separation principles
                 for convex relations taking values in an order complete
                 vector space. These principles subsume the standard
                 ones",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  keywords =     "convex relations; Fenchel's theorem; Lagrange
                 multipliers; order complete spaces; separation",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1980:NPD
author: J. M. Borwein
title: A note on perfect duality and limiting Lagrangeans
journal: j-MATH-PROG
volume: 18
number: 1
pages: 330--337
year: 1980
CODEN: MHPGA4
DOI: https://doi.org/10.1007/BF01588327
ISSN: 0025-5610 (print), 1436-4646 (electronic) OR 00255610 (print), 14364646 (electronic)
ISSNL: 0025-5610 OR 00255610
MRclass: 90C25
MRnumber: 571994
MRreviewer: N. N. Astaf{\cprime}ev
bibdate: Thu Aug 11 09:36:22 MDT 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 09:36:22 MDT
URL: http://docserver.carma.newcastle.edu.au/1654/; http://link.springer.com/article/10.1007/BF01588327
fjournal: Mathematical Programming
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://link.springer.com/journal/10107
rawauthor: J. M. Borwein
rawtitle: A note on perfect duality and limiting {Lagrangeans}
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
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  author =       "J. M. Borwein",
  title =        "A note on perfect duality and limiting {Lagrangeans}",
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  number =       "1",
  pages =        "330--337",
  year =         "1980",
  CODEN =        "MHPGA4",
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  ISSN =         "0025-5610 (print), 1436-4646 (electronic)",
  ISSN-L =       "0025-5610",
  MRclass =      "90C25",
  MRnumber =     "571994",
  MRreviewer =   "N. N. Astaf{\cprime}ev",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1654/;
                 http://link.springer.com/article/10.1007/BF01588327",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Mathematical Programming",
  journal-URL =  "http://link.springer.com/journal/10107",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  xxnumber =     "3",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1980:SDT
author: J. M. Borwein
title: A strong duality theorem for the minimum of a family of convex programs
journal: j-J-OPT-THEORY-APPL
volume: 31
number: 4
pages: 453--472
year: 1980
CODEN: JOTABN
DOI: https://doi.org/10.1007/BF00934472
ISSN: 0022-3239 (print), 1573-2878 (electronic) OR 00223239 (print), 15732878 (electronic)
ISSNL: 0022-3239 OR 00223239
MRclass: 90C25 (46G99 90C30)
MRnumber: 600199
MRreviewer: Tadashi Nakamura
bibdate: Thu Aug 11 09:36:22 MDT 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 09:36:22 MDT
URL: http://docserver.carma.newcastle.edu.au/1657/; http://link.springer.com/article/10.1007/BF00934472
fjournal: Journal of Optimization Theory and Applications
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://link.springer.com/journal/volumesAndIssues/10957
rawauthor: J. M. Borwein
rawtitle: A strong duality theorem for the minimum of a family of convex programs
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
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  author =       "J. M. Borwein",
  title =        "A strong duality theorem for the minimum of a family
                 of convex programs",
  journal =      j-J-OPT-THEORY-APPL,
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  number =       "4",
  pages =        "453--472",
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  CODEN =        "JOTABN",
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  MRnumber =     "600199",
  MRreviewer =   "Tadashi Nakamura",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1657/;
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  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Optimization Theory and Applications",
  journal-URL =  "http://link.springer.com/journal/volumesAndIssues/10957",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Tijs:1980:SGC
author: S. H. Tijs and J. M. Borwein
journal: j-CAN-MATH-BULL
volume: 23
number: 3
pages: 339--346
month: sep
monthnumber: 9
year: 1980
CODEN: CMBUA3
DOI: https://doi.org/10.4153/CMB-1980-048-x
ISSN: 0008-4395 (print), 1496-4287 (electronic) OR 00084395 (print), 14964287 (electronic)
ISSNL: 0008-4395 OR 00084395
MRclass: 90C05 (46G99 58C20)
MRnumber: 593393
MRreviewer: M. Brannigan
bibdate: Wed Aug 10 11:09:47 2016
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://docserver.carma.newcastle.edu.au/1656/
fjournal: Canadian Mathematical Bulletin. Bulletin Canadien de Mathematiques
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://cms.math.ca/cmb/
rawauthor: S. H. Tijs and J. M. Borwein
ORCID: Borwein, Jonathan/0000-0002-1263-0646
title:
Some Generalizations of Caratheodory's Theorem via Barycentres, with Application to Mathematical Programming

bibsource:
http://cms.math.ca/cmb/v23/; https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; https://www.math.utah.edu/pub/tex/bib/canmathbull.bib

rawtitle:
Some Generalizations of {Carath{\'e}odory}'s Theorem via Barycentres, with Application to Mathematical Programming

entry:
@Article{Tijs:1980:SGC,
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  title =        "Some Generalizations of {Carath{\'e}odory}'s Theorem
                 via Barycentres, with Application to Mathematical
                 Programming",
  journal =      j-CAN-MATH-BULL,
  volume =       "23",
  number =       "3",
  pages =        "339--346",
  month =        sep,
  year =         "1980",
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  DOI =          "https://doi.org/10.4153/CMB-1980-048-x",
  ISSN =         "0008-4395 (print), 1496-4287 (electronic)",
  ISSN-L =       "0008-4395",
  MRclass =      "90C05 (46G99 58C20)",
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  bibsource =    "http://cms.math.ca/cmb/v23/;
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  URL =          "http://docserver.carma.newcastle.edu.au/1656/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Canadian Mathematical Bulletin. Bulletin Canadien de
                 Math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cmb/",
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}


bibtype: inproceedings
filename: borwein-jonathan-m.bib
label: Borwein:1981:CCP
author: J. M. Borwein and H. Wolkowicz
title: Cone-convex programming, stability and affine constraints
crossref: Schaible:1981:CCP
pages: 379--397
year: 1981
bibdate: Mon Mar 6 22:00:29 MST 1995
bibtimestamp: 1995.03.06 22:00:29 MST
note: Invited paper.
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: J. M. Borwein and H. Wolkowicz
rawnote: Invited paper.
rawtitle: Cone-convex programming, stability and affine constraints
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/w/wolkowicz-henry.bib

entry:
@InProceedings{Borwein:1981:CCP,
  author =       "J. M. Borwein and H. Wolkowicz",
  title =        "Cone-convex programming, stability and affine
                 constraints",
  crossref =     "Schaible:1981:CCP",
  pages =        "379--397",
  year =         "1981",
  bibdate =      "Mon Mar 6 22:00:29 MST 1995",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "Invited paper.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  xxpages =      "379--392",
  xxtitle =      "Cone-convex programming, stability and affine
                 constraint functions",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1981:COA
author: Jon M. Borwein and Henry Wolkowicz
title: Characterization of optimality for the abstract convex program with finite dimensional range
journal: j-J-AUSTRAL-MATH-SOC-SER-A
volume: 30
number: 4
pages: 390--411
month: apr
monthnumber: 4
year: 1981
CODEN: JAMADS
DOI: https://doi.org/10.1017/S1446788700017882
ISSN: 0263-6115 (print), 2396-8192 (electronic) OR 02636115 (print), 23968192 (electronic)
ISSNL: 0263-6115 OR 02636115
MRclass: 90C48
MRnumber: 621556 (83i:90156)
MRreviewer: R. L. Graves
bibdate: Wed Aug 31 15:25:43 2016
bibtimestamp: 2016.08.31 15:25:43 ???
fjournal: Journal of the Australian Mathematical Society. Series A
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://journals.cambridge.org/action/displayBackIssues?jid=JAZ
rawauthor: Jon M. Borwein and Henry Wolkowicz
rawtitle: Characterization of optimality for the abstract convex program with finite dimensional range
ORCID: Borwein, Jonathan/0000-0002-1263-0646
URL:
http://docserver.carma.newcastle.edu.au/1649/; http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=4896312

entry:
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  author =       "Jon M. Borwein and Henry Wolkowicz",
  title =        "Characterization of optimality for the abstract convex
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  journal =      j-J-AUSTRAL-MATH-SOC-SER-A,
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  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
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  journal-URL =  "http://journals.cambridge.org/action/displayBackIssues?jid=JAZ",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  received =     "21 March 1980",
}


bibtype: incollection
filename: borwein-jonathan-m.bib
label: Borwein:1981:CRO
author: J. M. Borwein
booktitle: Generalized Convexity in Optimization and Economics
title: Convex relations in optimization and analysis
publisher: pub-ACADEMIC
address: pub-ACADEMIC:adr
pages: 335--377
year: 1981
bibdate: Mon Aug 15 15:17:45 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.15 15:17:45 ???
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: J. M. Borwein
rawbooktitle: Generalized Convexity in Optimization and Economics
rawtitle: Convex relations in optimization and analysis
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@InCollection{Borwein:1981:CRO,
  author =       "J. M. Borwein",
  booktitle =    "Generalized Convexity in Optimization and Economics",
  title =        "Convex relations in optimization and analysis",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  pages =        "335--377",
  year =         "1981",
  ISBN =         "",
  ISBN-13 =      "",
  LCCN =         "",
  bibdate =      "Mon Aug 15 15:17:45 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1981:DTS
author: J. M. Borwein
title: Direct theorems in semi-infinite convex programming
journal: j-MATH-PROG
volume: 21
number: 1
pages: 301--318
year: 1981
CODEN: MHPGA4
DOI: https://doi.org/10.1007/BF01584251
ISSN: 0025-5610 (print), 1436-4646 (electronic) OR 00255610 (print), 14364646 (electronic)
ISSNL: 0025-5610 OR 00255610
MRclass: 90C25 (49D39 90C30)
MRnumber: 632637
MRreviewer: {\c{S}}tefan {\c{T}}igan
bibdate: Thu Aug 11 09:36:22 MDT 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 09:36:22 MDT
URL: http://link.springer.com/article/10.1007/BF01584251
fjournal: Mathematical Programming
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://link.springer.com/journal/10107
rawauthor: J. M. Borwein
rawtitle: Direct theorems in semi-infinite convex programming
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Borwein:1981:DTS,
  author =       "J. M. Borwein",
  title =        "Direct theorems in semi-infinite convex programming",
  journal =      j-MATH-PROG,
  volume =       "21",
  number =       "1",
  pages =        "301--318",
  year =         "1981",
  CODEN =        "MHPGA4",
  DOI =          "https://doi.org/10.1007/BF01584251",
  ISSN =         "0025-5610 (print), 1436-4646 (electronic)",
  ISSN-L =       "0025-5610",
  MRclass =      "90C25 (49D39 90C30)",
  MRnumber =     "632637",
  MRreviewer =   "{\c{S}}tefan {\c{T}}igan",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://link.springer.com/article/10.1007/BF01584251",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Mathematical Programming",
  journal-URL =  "http://link.springer.com/journal/10107",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  xxnumber =     "3",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1981:FRC
author: Jon M. Borwein and Henry Wolkowicz
title: Facial reduction for a cone-convex programming problem
journal: j-J-AUSTRAL-MATH-SOC-SER-A
volume: 30
number: 3
pages: 369--380
month: feb
monthnumber: 2
year: 1981
CODEN: JAMADS
DOI: https://doi.org/10.1017/S1446788700017250
ISSN: 0263-6115 (print), 2396-8192 (electronic) OR 02636115 (print), 23968192 (electronic)
ISSNL: 0263-6115 OR 02636115
MRclass: 90C25; 90C48
MRnumber: 83b:90121 (614086)
MRreviewer: B. T. Polyak
bibdate: Wed Aug 31 16:29:21 2016
bibtimestamp: 2016.08.31 16:29:21 ???
fjournal: Journal of the Australian Mathematical Society. Series A
ZMnumber: 0464.90086
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://journals.cambridge.org/action/displayBackIssues?jid=JAZ
onlinedate: 28 July 1980
rawauthor: Jon M. Borwein and Henry Wolkowicz
rawtitle: Facial reduction for a cone-convex programming problem
ORCID: Borwein, Jonathan/0000-0002-1263-0646
URL:
http://docserver.carma.newcastle.edu.au/1650/; http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=5441184

entry:
@Article{Borwein:1981:FRC,
  author =       "Jon M. Borwein and Henry Wolkowicz",
  title =        "Facial reduction for a cone-convex programming
                 problem",
  journal =      j-J-AUSTRAL-MATH-SOC-SER-A,
  volume =       "30",
  number =       "3",
  pages =        "369--380",
  month =        feb,
  year =         "1981",
  CODEN =        "JAMADS",
  DOI =          "https://doi.org/10.1017/S1446788700017250",
  ISSN =         "0263-6115 (print), 2396-8192 (electronic)",
  ISSN-L =       "0263-6115",
  MRclass =      "90C25; 90C48",
  MRnumber =     "83b:90121 (614086)",
  MRreviewer =   "B. T. Polyak",
  bibdate =      "Wed Aug 31 16:29:21 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1650/;
                 http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=5441184",
  ZMnumber =     "0464.90086",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of the Australian Mathematical Society. Series
                 A",
  journal-URL =  "http://journals.cambridge.org/action/displayBackIssues?jid=JAZ",
  onlinedate =   "28 July 1980",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  received =     "21 March 1980",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1981:LLC
author: J. M. Borwein
title: The limiting Lagrangian as a consequence of Helly's theorem
journal: j-J-OPT-THEORY-APPL
volume: 33
number: 4
pages: 497--513
year: 1981
CODEN: JOTABN
DOI: https://doi.org/10.1007/BF00935755
ISSN: 0022-3239 (print), 1573-2878 (electronic) OR 00223239 (print), 15732878 (electronic)
ISSNL: 0022-3239 OR 00223239
MRclass: 90C25
MRnumber: 616567
bibdate: Thu Aug 11 09:36:22 MDT 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 09:36:22 MDT
URL: http://docserver.carma.newcastle.edu.au/1647/; http://link.springer.com/article/10.1007/BF00935755
fjournal: Journal of Optimization Theory and Applications
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://link.springer.com/journal/volumesAndIssues/10957
rawauthor: J. M. Borwein
rawtitle: The limiting {Lagrangian} as a consequence of {Helly}'s theorem
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Borwein:1981:LLC,
  author =       "J. M. Borwein",
  title =        "The limiting {Lagrangian} as a consequence of
                 {Helly}'s theorem",
  journal =      j-J-OPT-THEORY-APPL,
  volume =       "33",
  number =       "4",
  pages =        "497--513",
  year =         "1981",
  CODEN =        "JOTABN",
  DOI =          "https://doi.org/10.1007/BF00935755",
  ISSN =         "0022-3239 (print), 1573-2878 (electronic)",
  ISSN-L =       "0022-3239",
  MRclass =      "90C25",
  MRnumber =     "616567",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1647/;
                 http://link.springer.com/article/10.1007/BF00935755",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Optimization Theory and Applications",
  journal-URL =  "http://link.springer.com/journal/volumesAndIssues/10957",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1981:LMT
author: J. M. Borwein
title: A Lagrange multiplier theorem and a sandwich theorem for convex relations
journal: j-MATH-SCAND
volume: 48
number: 2
pages: 189--204
year: 1981
CODEN: MTSCAN
ISSN: 0025-5521 (print), 1903-1807 (electronic) OR 00255521 (print), 19031807 (electronic)
ISSNL: 0025-5521 OR 00255521
MRnumber: 631335
MRreviewer: Michel Th{\'e}ra
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://docserver.carma.newcastle.edu.au/1646/; http://www.mscand.dk/article/view/11911/9927
fjournal: Mathematica Scandinavica
ZMnumber: 0468.49007
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://www.mscand.dk/issue/archive
rawauthor: J. M. Borwein
rawtitle: A {Lagrange} multiplier theorem and a sandwich theorem for convex relations
ORCID: Borwein, Jonathan/0000-0002-1263-0646
MRclass:
49A50 (26A51 46A22 90C25); 49J45 (Optimal control problems involving semicontinuity and convergence; relaxation); 58C06 (Set-valued and function-space valued mappings on manifolds); 49J27 (Optimal control problems in abstract spaces (existence)); 46A30 (Open mapping and closed graph theorems; completeness); 46A40 (Ordered topological linear spaces, vector lattices)

entry:
@Article{Borwein:1981:LMT,
  author =       "J. M. Borwein",
  title =        "A {Lagrange} multiplier theorem and a sandwich theorem
                 for convex relations",
  journal =      j-MATH-SCAND,
  volume =       "48",
  number =       "2",
  pages =        "189--204",
  year =         "1981",
  CODEN =        "MTSCAN",
  ISSN =         "0025-5521 (print), 1903-1807 (electronic)",
  ISSN-L =       "0025-5521",
  MRclass =      "49A50 (26A51 46A22 90C25); 49J45 (Optimal control
                 problems involving semicontinuity and convergence;
                 relaxation); 58C06 (Set-valued and function-space
                 valued mappings on manifolds); 49J27 (Optimal control
                 problems in abstract spaces (existence)); 46A30 (Open
                 mapping and closed graph theorems; completeness); 46A40
                 (Ordered topological linear spaces, vector lattices)",
  MRnumber =     "631335",
  MRreviewer =   "Michel Th{\'e}ra",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1646/;
                 http://www.mscand.dk/article/view/11911/9927",
  ZMnumber =     "0468.49007",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Mathematica Scandinavica",
  journal-URL =  "http://www.mscand.dk/issue/archive",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1981:RAC
author: Jon Borwein and Henry Wolkowicz
title: Regularizing the abstract convex program
journal: j-J-MATH-ANAL-APPL
volume: 83
number: 2
pages: 495--530
year: 1981
CODEN: JMANAK
DOI: https://doi.org/10.1016/0022-247X(81)90138-4
ISSN: 0022-247X (print), 1096-0813 (electronic) OR 0022247X (print), 10960813 (electronic)
ISSNL: 0022-247X OR 0022247X
MRclass: 90C48 (90C25)
MRnumber: 641348
MRreviewer: S. Zlobec
bibdate: Thu Aug 11 10:27:38 2016
bibtimestamp: 2016.08.11 10:27:38 ???
fjournal: Journal of Mathematical Analysis and Applications
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://www.sciencedirect.com/science/journal/0022247X
rawauthor: Jon Borwein and Henry Wolkowicz
rawtitle: Regularizing the abstract convex program
ORCID: Borwein, Jonathan/0000-0002-1263-0646
URL:
http://docserver.carma.newcastle.edu.au/1645/; http://www.sciencedirect.com/science/article/pii/0022247X81901384

abstract:
Characterizations of optimality for the abstract convex program $ mu = i n f p(x) colon g(x) in - S, x in Omega (P) $ where $S$ is an arbitrary convex cone in a finite dimensional space, $ Omega $ is a convex set, and $p$ and $g$ are respectively convex and $S$-convex (on $ Omega $), were given in [10]. These characterizations hold without any constraint qualification. They use the ``minimal cone'' $ S^f$ of $ (P)$ and the cone of directions of constancy $ D_g = (S^f)$. In the faithfully convex case these cones can be used to regularize $ (P)$, i.e., transform $ (P)$ into an equivalent program $ (P_r)$ for which Slater's condition holds. We present an algorithm that finds both $ S^$ f and $ D_g = (S^f)$. The main step of the algorithm consists in solving a particular complementarity problem. We also present a characterization of optimality for $ (P)$ in terms of the cone of directions of constancy of a convex functional $ D_phi g^ = $ rather than $ D_g^ = (S^f)$.

rawabstract:
Characterizations of optimality for the abstract convex program $ \mu = i n f \{ p(x) \colon g(x) \in - S, x \in \Omega \} (P) $ where $S$ is an arbitrary convex cone in a finite dimensional space, $ \Omega $ is a convex set, and $p$ and $g$ are respectively convex and $S$-convex (on $ \Omega $), were given in [10]. These characterizations hold without any constraint qualification. They use the ``minimal cone'' $ S^f$ of $ (P)$ and the cone of directions of constancy $ D_g = (S^f)$. In the faithfully convex case these cones can be used to regularize $ (P)$, i.e., transform $ (P)$ into an equivalent program $ (P_r)$ for which Slater's condition holds. We present an algorithm that finds both $ S^$ f and $ D_g = (S^f)$. The main step of the algorithm consists in solving a particular complementarity problem. We also present a characterization of optimality for $ (P)$ in terms of the cone of directions of constancy of a convex functional $ D_{\phi g}^ = $ rather than $ D_g^ = (S^f)$.

entry:
@Article{Borwein:1981:RAC,
  author =       "Jon Borwein and Henry Wolkowicz",
  title =        "Regularizing the abstract convex program",
  journal =      j-J-MATH-ANAL-APPL,
  volume =       "83",
  number =       "2",
  pages =        "495--530",
  year =         "1981",
  CODEN =        "JMANAK",
  DOI =          "https://doi.org/10.1016/0022-247X(81)90138-4",
  ISSN =         "0022-247X (print), 1096-0813 (electronic)",
  ISSN-L =       "0022-247X",
  MRclass =      "90C48 (90C25)",
  MRnumber =     "641348",
  MRreviewer =   "S. Zlobec",
  bibdate =      "Thu Aug 11 10:27:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1645/;
                 http://www.sciencedirect.com/science/article/pii/0022247X81901384",
  abstract =     "Characterizations of optimality for the abstract
                 convex program $ \mu = i n f \{ p(x) \colon g(x) \in -
                 S, x \in \Omega \} (P) $ where $S$ is an arbitrary
                 convex cone in a finite dimensional space, $ \Omega $
                 is a convex set, and $p$ and $g$ are respectively
                 convex and $S$-convex (on $ \Omega $), were given in
                 [10]. These characterizations hold without any
                 constraint qualification. They use the ``minimal cone''
                 $ S^f$ of $ (P)$ and the cone of directions of
                 constancy $ D_g = (S^f)$. In the faithfully convex case
                 these cones can be used to regularize $ (P)$, i.e.,
                 transform $ (P)$ into an equivalent program $ (P_r)$
                 for which Slater's condition holds. We present an
                 algorithm that finds both $ S^$ f and $ D_g = (S^f)$.
                 The main step of the algorithm consists in solving a
                 particular complementarity problem. We also present a
                 characterization of optimality for $ (P)$ in terms of
                 the cone of directions of constancy of a convex
                 functional $ D_{\phi g}^ = $ rather than $ D_g^ =
                 (S^f)$.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Mathematical Analysis and Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/0022247X",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1981:SRP
author: J. Borwein
journal: j-BULL-CALCUTTA-MATH-SOC
volume: 73
number: 1
pages: 5--8
year: 1981
CODEN: BCMSA5
ISSN: 0008-0659 OR 00080659
ISSNL: 0008-0659 OR 00080659
MRclass: 46B20
MRnumber: 669750
MRreviewer: M. M. Day
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://docserver.carma.newcastle.edu.au/1648/
fjournal: Bulletin of the Calcutta Mathematical Society
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://bulletin.calmathsoc.org/database.php
rawauthor: J. Borwein
ORCID: Borwein, Jonathan/0000-0002-1263-0646
title:
Some remarks on a paper of S. Cobzas on antiproximal sets: ``Antiproximinal sets in some Banach spaces'' [Math. Balkanica bf 4 (1974), 79--82; MR bf 51 #13553]

rawtitle:
Some remarks on a paper of {{\c{S}. Cobza{\c{s}} on antiproximal sets: ``Antiproximinal sets in some Banach spaces'' [Math. Balkanica {\bf 4} (1974), 79--82; MR {\bf 51} \#13553]}}

entry:
@Article{Borwein:1981:SRP,
  author =       "J. Borwein",
  title =        "Some remarks on a paper of {{\c{S}. Cobza{\c{s}} on
                 antiproximal sets: ``Antiproximinal sets in some Banach
                 spaces'' [Math. Balkanica {\bf 4} (1974), 79--82; MR
                 {\bf 51} \#13553]}}",
  journal =      j-BULL-CALCUTTA-MATH-SOC,
  volume =       "73",
  number =       "1",
  pages =        "5--8",
  year =         "1981",
  CODEN =        "BCMSA5",
  ISSN =         "0008-0659",
  ISSN-L =       "0008-0659",
  MRclass =      "46B20",
  MRnumber =     "669750",
  MRreviewer =   "M. M. Day",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1648/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Bulletin of the Calcutta Mathematical Society",
  journal-URL =  "http://bulletin.calmathsoc.org/database.php",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1982:CDP
author: J. M. Borwein
title: Continuity and differentiability properties of convex operators
journal: j-PROC-LONDON-MATH-SOC-3
volume: 44
number: 3
pages: 420--444
year: 1982
CODEN: PLMTAL
DOI: https://doi.org/10.1112/plms/s3-44.3.420
ISSN: 0024-6115 (print), 1460-244x (electronic) OR 00246115 (print), 1460244x (electronic)
ISSNL: 0024-6115 OR 00246115
MRclass: 58C20 (46G99 47H99 49A51 52A07)
MRnumber: 656244
MRreviewer: Jean-Paul Penot
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://docserver.carma.newcastle.edu.au/1640/
fjournal: Proceedings of the London Mathematical Society. Third Series
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://londmathsoc.onlinelibrary.wiley.com/hub/journal/10.1112/(ISSN)1460-244X/
rawauthor: J. M. Borwein
rawtitle: Continuity and differentiability properties of convex operators
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Borwein:1982:CDP,
  author =       "J. M. Borwein",
  title =        "Continuity and differentiability properties of convex
                 operators",
  journal =      j-PROC-LONDON-MATH-SOC-3,
  volume =       "44",
  number =       "3",
  pages =        "420--444",
  year =         "1982",
  CODEN =        "PLMTAL",
  DOI =          "https://doi.org/10.1112/plms/s3-44.3.420",
  ISSN =         "0024-6115 (print), 1460-244x (electronic)",
  ISSN-L =       "0024-6115",
  MRclass =      "58C20 (46G99 47H99 49A51 52A07)",
  MRnumber =     "656244",
  MRreviewer =   "Jean-Paul Penot",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1640/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Proceedings of the London Mathematical Society. Third
                 Series",
  journal-URL =  "http://londmathsoc.onlinelibrary.wiley.com/hub/journal/10.1112/(ISSN)1460-244X/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1982:COCa
author: J. M. Borwein and H. Wolkowicz
title: Characterizations of optimality without constraint qualification for the abstract convex program
journal: j-MATH-PROG-STUDY
volume: 19
pages: 77--100
year: 1982
CODEN: MPSTDF
ISSN: 0303-3929 OR 03033929
ISSNL: 0303-3929 OR 03033929
MRclass: 90C25
MRnumber: 669726
bibdate: Wed Aug 10 11:09:47 2016
bibtimestamp: 2016.08.10 11:09:47 ???
note: Optimality and stability in mathematical programming.
fjournal: Mathematical Programming Study
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: https://link.springer.com/bookseries/8439
rawauthor: J. M. Borwein and H. Wolkowicz
rawnote: Optimality and stability in mathematical programming.
rawtitle: Characterizations of optimality without constraint qualification for the abstract convex program
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Borwein:1982:COCa,
  author =       "J. M. Borwein and H. Wolkowicz",
  title =        "Characterizations of optimality without constraint
                 qualification for the abstract convex program",
  journal =      j-MATH-PROG-STUDY,
  volume =       "19",
  pages =        "77--100",
  year =         "1982",
  CODEN =        "MPSTDF",
  ISSN =         "0303-3929",
  ISSN-L =       "0303-3929",
  MRclass =      "90C25",
  MRnumber =     "669726",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
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  note =         "Optimality and stability in mathematical
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bibtype: inproceedings
filename: borwein-jonathan-m.bib
label: Borwein:1982:COCb
author: J. M. Borwein and H. Wolkowicz
booktitle: Optimality and Stability in Mathematical Programming
title: Characterizations of optimality without constraint qualification for the abstract convex program
publisher: pub-SV
address: pub-SV:adr
pages: ??--??
year: 1982
DOI: https://doi.org/10.1007/BFb0120983
bibdate: Thu Aug 11 09:36:22 MDT 2016
bibtimestamp: 2016.08.11 09:36:22 MDT
URL: http://link.springer.com/chapter/10.1007/BFb0120983
acknowledgement: ack-nhfb
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bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1982:HBE
author: Jonathan M. Borwein
title: On the Hahn--Banach extension property
journal: j-PROC-AM-MATH-SOC
volume: 86
number: 1
pages: 42--46
year: 1982
CODEN: PAMYAR
DOI: https://doi.org/10.2307/2044393
ISSN: 0002-9939 (print), 1088-6826 (electronic) OR 00029939 (print), 10886826 (electronic)
ISSNL: 0002-9939 OR 00029939
MRclass: 46A40 (06F20)
MRnumber: 663863
MRreviewer: M. M. Day
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
fjournal: Proceedings of the American Mathematical Society
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://www.ams.org/journals/proc
rawauthor: Jonathan M. Borwein
rawtitle: On the {Hahn--Banach} extension property
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bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1982:NES
author: J. M. Borwein
title: A note on the existence of subgradients
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number: 2
pages: 225--228
year: 1982
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MRnumber: 674632
bibdate: Thu Aug 11 09:36:22 MDT 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 09:36:22 MDT
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bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1982:NSC
author: J. M. Borwein
title: Necessary and sufficient conditions for quadratic minimality
journal: j-NUMER-FUNCT-ANAL-OPTIM
volume: 5
number: 2
pages: 127--140
year: 1982
CODEN: NFADOL
DOI: https://doi.org/10.1080/01630568208816135
ISSN: 0163-0563 (print), 1532-2467 (electronic) OR 01630563 (print), 15322467 (electronic)
ISSNL: 0163-0563 OR 01630563
MRclass: 90C20
MRnumber: 704109
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://docserver.carma.newcastle.edu.au/1639/
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acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://www.tandfonline.com/loi/lnfa20
rawauthor: J. M. Borwein
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bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1982:NSM
author: J. M. Borwein
title: A note on $ varepsilon $-subgradients and maximal monotonicity
journal: j-PAC-J-MATH
volume: 103
number: 2
pages: 307--314
year: 1982
CODEN: PJMAAI
ISSN: 0030-8730 (print), 1945-5844 (electronic) OR 00308730 (print), 19455844 (electronic)
ISSNL: 0030-8730 OR 00308730
MRclass: 90C25 (49A50 58C20)
MRnumber: 705231
MRreviewer: J. E. Spingarn
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://projecteuclid.org/euclid.pjm/1102723964
fjournal: Pacific Journal of Mathematics
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authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://msp.org/pjm
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rawtitle: A note on $ \varepsilon $-subgradients and maximal monotonicity
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bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1982:SSI
author: J. M. Borwein and G. P. H. Styan and H. Wolkowicz
title: Solutions: Some Inequalities Involving Statistical Expressions (L. V. Foster)
journal: j-SIAM-REVIEW
volume: 24
number: 3
pages: 340--342
year: 1982
CODEN: SIREAD
DOI: https://doi.org/10.1137/1024072
ISSN: 0036-1445 (print), 1095-7200 (electronic) OR 00361445 (print), 10957200 (electronic)
ISSNL: 0036-1445 OR 00361445
bibdate: Sat Mar 29 09:53:30 MDT 2014
bibtimestamp: 2014.03.29 09:53:30 MDT
fjournal: SIAM Review
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://epubs.siam.org/sirev
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bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1983:APD
author: J. M. Borwein
title: Adjoint process duality
journal: j-MATH-OP-RES
volume: 8
number: 3
pages: 403--434
year: 1983
CODEN: MOREDQ
DOI: https://doi.org/10.1287/moor.8.3.403
ISSN: 0364-765x (print), 1526-5471 (electronic) OR 0364765x (print), 15265471 (electronic)
ISSNL: 0364-765X OR 0364765X
MRclass: 90C25
MRnumber: 716121
MRreviewer: J. E. Spingarn
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
note: See letter cite Zalinescu:1986:LEJ.
URL: http://docserver.carma.newcastle.edu.au/1633/
fjournal: Mathematics of Operations Research
acknowledgement: ack-nhfb
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bibtype: article
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title: Completeness and the contraction principle
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number: 2
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year: 1983
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bibtimestamp: 2016.08.10 11:09:47 ???
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bibtype: article
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label: Borwein:1983:EPE
author: Jonathan M. Borwein
title: On the existence of Pareto efficient points
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number: 1
pages: 64--73
month: feb
monthnumber: 2
year: 1983
CODEN: MOREDQ
DOI: https://doi.org/10.1287/moor.8.1.64
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MRreviewer: Autorreferat
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bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1983:FDS
author: J. M. Borwein and K. O. Kortanek
title: Fenchel-duality and separably-infinite programs
journal: j-OPTIMIZATION
volume: 14
number: 1
pages: 37--48.
year: 1983
CODEN: OPTZDQ
DOI: https://doi.org/10.1080/02331938308842831
ISSN: 0323-3898 OR 03233898
ISSNL: 0233-1934 OR 02331934
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MRreviewer: W. F. Tyndall
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
fjournal: Mathematische Operationsforschung und Statistik Series Optimization
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  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Mathematische Operationsforschung und Statistik Series
                 Optimization",
  journal-URL =  "http://www.tandfonline.com/loi/gopt20",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
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bibtype: incollection
filename: borwein-jonathan-m.bib
label: Borwein:1983:HSS
author: J. M. Borwein
booktitle: Semi-infinite Programming
title: How special is semi-infinite programming?
publisher: pub-SV
address: pub-SV:adr
pages: 139--172
year: 1983
bibdate: Mon Aug 15 15:11:40 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.15 15:11:40 ???
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: J. M. Borwein
rawbooktitle: Semi-infinite Programming
rawtitle: How special is semi-infinite programming?
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
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  author =       "J. M. Borwein",
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  title =        "How special is semi-infinite programming?",
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  address =      pub-SV:adr,
  pages =        "139--172",
  year =         "1983",
  bibdate =      "Mon Aug 15 15:11:40 2016",
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  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
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}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1983:NFL
author: J. M. Borwein
title: A note on the Farkas lemma
journal: j-UTIL-MATH
volume: 24
pages: 235--241
year: 1983
CODEN: UTMADA
ISSN: 0315-3681 OR 03153681
MRclass: 90C05 (90C30)
MRnumber: 724772
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://docserver.carma.newcastle.edu.au/1631/
fjournal: Utilitas Mathematica. A Canadian Journal of Applied Mathematics, Computer Science, and Statistics
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://bkocay.cs.umanitoba.ca/utilitas/index.html
rawauthor: J. M. Borwein
rawtitle: A note on the {Farkas} lemma
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  title =        "A note on the {Farkas} lemma",
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bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1983:NMB
author: Jonathan Borwein and Brailey Sims
title: Nonexpansive mappings on Banach lattices
journal: j-C-R-ACAD-SCI-CANADA
volume: 5
number: 1
pages: 21--26
year: 1983
ISSN: 0706-1994 OR 07061994
MRclass: 46A40 (46B20 47H09)
MRnumber: 690312
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://docserver.carma.newcastle.edu.au/1635/
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Jonathan Borwein and Brailey Sims
rawtitle: Nonexpansive mappings on {Banach} lattices
ORCID: Borwein, Jonathan/0000-0002-1263-0646
fjournal:
La Societe Royale du Canada. L'Academie des Sciences. Comptes Rendus Mathematiques. (Mathematical Reports)

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  author =       "Jonathan Borwein and Brailey Sims",
  title =        "Nonexpansive mappings on {Banach} lattices",
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  number =       "1",
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  MRnumber =     "690312",
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  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1983:PSA
title: Problems and Solutions: Advanced Problems: 6430-6435
journal: j-AMER-MATH-MONTHLY
volume: 90
number: 6
pages: 402--403
year: 1983
CODEN: AMMYAE
DOI: https://doi.org/10.2307/2975584
ISSN: 0002-9890 (print), 1930-0972 (electronic) OR 00029890 (print), 19300972 (electronic)
ISSNL: 0002-9890 OR 00029890
MRnumber: 1540218
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
fjournal: American Mathematical Monthly
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://www.jstor.org/journals/00029890.html
rawtitle: Problems and Solutions: Advanced Problems: 6430-6435
ORCID: Borwein, Jonathan/0000-0002-1263-0646
author:
J. Borwein and Gabor J. Szekely and Andras Zempleni and Michael Barr and Edmund Butler and Allen J. Schwenk and Thomas Q. Sibley

rawauthor:
J. Borwein and Gabor J. Szekely and Andras Zempleni and Michael Barr and Edmund Butler and Allen J. Schwenk and Thomas Q. Sibley

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  author =       "J. Borwein and Gabor J. Szekely and Andras Zempleni
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                 and Thomas Q. Sibley",
  title =        "Problems and Solutions: Advanced Problems: 6430-6435",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "90",
  number =       "6",
  pages =        "402--403",
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  DOI =          "https://doi.org/10.2307/2975584",
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  ISSN-L =       "0002-9890",
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  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
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bibtype: incollection
filename: borwein-jonathan-m.bib
label: Borwein:1983:SIP
author: Jonathan M. Borwein
editor: Anthony V. Fiacco and Kenneth O. Kortanek
title: Semi-infinite programming duality: how special is it?
volume: 215
publisher: pub-SV
address: pub-SV:adr
pages: 10--36
year: 1983
DOI: https://doi.org/10.1007/978-3-642-46477-5_2
LCCN: QA402.5 .S428 1983
MRclass: 49D39 (90C30)
MRnumber: 709266
MRreviewer: Sven-{\.A}ke Gustafson
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
series: Lecture Notes in Economics and Mathematical Systems
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
bookDOI: https://doi.org/10.1007/978-3-642-46477-5
bookpages: xi + 322
rawauthor: Jonathan M. Borwein
raweditor: Anthony V. Fiacco and Kenneth O. Kortanek
rawtitle: Semi-infinite programming duality: how special is it?
ORCID: Borwein, Jonathan/0000-0002-1263-0646
booktitle:
Semi-Infinite Programming and Applications: an International Symposium, Austin, Texas, September 8 -10, 1981

ISBN:
0-387-12304-0 (paperback: New York), 3-540-12304-0 (paperback: Berlin) OR 0387123040 (paperback: New York), 3540123040 (paperback: Berlin)

ISBN13:
978-0-387-12304-2 (paperback: New York), 978-3-540-12304-0 (paperback: Berlin) OR 9780387123042 (paperback: New York), 9783540123040 (paperback: Berlin)

rawbooktitle:
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  acknowledgement = ack-nhfb,
  aseries =      "Lecture Notes in Econom. and Math. Systems",
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bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1983:VRC
author: J. M. Borwein and P. B. Borwein
title: A very rapidly convergent product expansion for $ pi $
journal: j-BIT
volume: 23
number: 4
pages: 538--540
month: dec
monthnumber: 12
year: 1983
CODEN: BITTEL, NBITAB
DOI: https://doi.org/10.1007/BF01933626
ISSN: 0006-3835 (print), 1572-9125 (electronic) OR 00063835 (print), 15729125 (electronic)
ISSNL: 0006-3835 OR 00063835
MRclass: 65B99
MRnumber: 721199, 85h:65011
bibdate: Thu Aug 11 09:36:22 MDT 2016
bibtimestamp: 2016.08.11 09:36:22 MDT
fjournal: BIT (Nordisk tidskrift for informationsbehandling)
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://link.springer.com/journal/10543
rawauthor: J. M. Borwein and P. B. Borwein
rawtitle: A very rapidly convergent product expansion for $ \pi $
ORCID: Borwein, Jonathan/0000-0002-1263-0646
bibsource:
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URL:
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entry:
@Article{Borwein:1983:VRC,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "A very rapidly convergent product expansion for $ \pi
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bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1984:AGM
author: J. M. Borwein and P. B. Borwein
title: The Arithmetic--Geometric Mean and Fast Computation of Elementary Functions
journal: j-SIAM-REVIEW
volume: 26
number: 3
pages: 351--366
month: jul
monthnumber: 7
year: 1984
CODEN: SIREAD
DOI: https://doi.org/10.1137/1026073
ISSN: 0036-1445 (print), 1095-7200 (electronic) OR 00361445 (print), 10957200 (electronic)
ISSNL: 0036-1445 OR 00361445
MRclass: 65D20 (26A09)
MRnumber: 750454; 86d:65029
MRreviewer: S. Conde
bibdate: Tue Mar 14 07:52:56 2017
bibtimestamp: 2017.03.14 07:52:56 ???
URL: http://www.jstor.org/stable/2031275
fjournal: SIAM Review. A Publication of the Society for Industrial and Applied Mathematics
acknowledgement: ack-nhfb
affiliationaddress: Dalhousie Univ, Halifax, NS, Can
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://epubs.siam.org/sirev
journalabr: SIAM Rev
onlinedate: July 1984
rawauthor: J. M. Borwein and P. B. Borwein
rawtitle: The Arithmetic--Geometric Mean and Fast Computation of Elementary Functions
ORCID: Borwein, Jonathan/0000-0002-1263-0646
bibsource:
Compendex database; ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt; http://epubs.siam.org/toc/siread/26/3; https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/agm.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/siamreview.bib

abstract:
We produce a self contained account of the relationship between the Gaussian arithmetic--geometric mean iteration and the fast computation of elementary functions. A particularly pleasant algorithm for pi is one of the by-products.

keywords:
AGM (Arithmetic--Geometric Mean); arithmetic--geometric mean; calculation of pi; computational methods; elliptic functions; Iterative Methods; mathematical techniques; numerical mathematics

rawabstract:
We produce a self contained account of the relationship between the Gaussian arithmetic--geometric mean iteration and the fast computation of elementary functions. A particularly pleasant algorithm for pi is one of the by-products.

entry:
@Article{Borwein:1984:AGM,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "The Arithmetic--Geometric Mean and Fast Computation of
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  journal =      j-SIAM-REVIEW,
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  number =       "3",
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  MRreviewer =   "S. Conde",
  bibdate =      "Tue Mar 14 07:52:56 2017",
  bibsource =    "Compendex database;
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  URL =          "http://www.jstor.org/stable/2031275",
  abstract =     "We produce a self contained account of the
                 relationship between the Gaussian arithmetic--geometric
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                 functions. A particularly pleasant algorithm for pi is
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  acknowledgement = ack-nhfb # " and " # ack-nj,
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                 2016)",
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                 computational methods; elliptic functions; Iterative
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bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1984:ANV
author: J. M. Borwein and D. T. Yost
title: Absolute norms on vector lattices
journal: j-PROC-EDINBURGH-MATH-SOC-2
volume: 27
number: 2
pages: 215--222
month: jun
monthnumber: 6
year: 1984
CODEN: PEMSA3
DOI: https://doi.org/10.1017/S0013091500022318
ISSN: 0013-0915 (print), 1464-3839 (electronic) OR 00130915 (print), 14643839 (electronic)
ISSNL: 0013-0915 OR 00130915
MRclass: 46A40 (46B30 90C48)
MRnumber: 760617
MRreviewer: I. Namioka
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
fjournal: Proceedings of the Edinburgh Mathematical Society. Series II
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://journals.cambridge.org/action/displayJournal?jid=PEM
rawauthor: J. M. Borwein and D. T. Yost
rawtitle: Absolute norms on vector lattices
ORCID: Borwein, Jonathan/0000-0002-1263-0646
URL:
http://docserver.carma.newcastle.edu.au/1624/; http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=3076132

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  author =       "J. M. Borwein and D. T. Yost",
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  number =       "2",
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  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
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bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1984:CCO
author: J. M. Borwein and J.-P. Penot and M. Thera
title: Conjugate convex operators
journal: j-J-MATH-ANAL-APPL
volume: 102
number: 2
pages: 399--414
year: 1984
CODEN: JMANAK
DOI: https://doi.org/10.1016/0022-247X(84)90180-X
ISSN: 0022-247X (print), 1096-0813 (electronic) OR 0022247X (print), 10960813 (electronic)
ISSNL: 0022-247X OR 0022247X
MRclass: 90C48 (46G99 49A50)
MRnumber: 755971
MRreviewer: Christian Malivert
bibdate: Thu Aug 11 10:27:38 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 10:27:38 ???
fjournal: Journal of Mathematical Analysis and Applications
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://www.sciencedirect.com/science/journal/0022247X
rawauthor: J. M. Borwein and J.-P. Penot and M. Th{\'e}ra
rawtitle: Conjugate convex operators
ORCID: Borwein, Jonathan/0000-0002-1263-0646
URL:
http://docserver.carma.newcastle.edu.au/1620/; http://www.sciencedirect.com/science/article/pii/0022247X8490180X

abstract:
Convex mappings from a locally convex space X into F. = F cup +infty are considered, where F is an ordered topological vector space and + infty an arbitrary greatest element adjoined to F. In view of applications to the polarity theory of convex operators, the possibility is investigated of representing a convex mapping taking values in F. as a supremum of continuous affine mappings.

rawabstract:
Convex mappings from a locally convex space X into F. = F \cup {+\infty } are considered, where F is an ordered topological vector space and + \infty an arbitrary greatest element adjoined to F. In view of applications to the polarity theory of convex operators, the possibility is investigated of representing a convex mapping taking values in F. as a supremum of continuous affine mappings.

entry:
@Article{Borwein:1984:CCO,
  author =       "J. M. Borwein and J.-P. Penot and M. Th{\'e}ra",
  title =        "Conjugate convex operators",
  journal =      j-J-MATH-ANAL-APPL,
  volume =       "102",
  number =       "2",
  pages =        "399--414",
  year =         "1984",
  CODEN =        "JMANAK",
  DOI =          "https://doi.org/10.1016/0022-247X(84)90180-X",
  ISSN =         "0022-247X (print), 1096-0813 (electronic)",
  ISSN-L =       "0022-247X",
  MRclass =      "90C48 (46G99 49A50)",
  MRnumber =     "755971",
  MRreviewer =   "Christian Malivert",
  bibdate =      "Thu Aug 11 10:27:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1620/;
                 http://www.sciencedirect.com/science/article/pii/0022247X8490180X",
  abstract =     "Convex mappings from a locally convex space X into F.
                 = F \cup {+\infty } are considered, where F is an
                 ordered topological vector space and + \infty an
                 arbitrary greatest element adjoined to F. In view of
                 applications to the polarity theory of convex
                 operators, the possibility is investigated of
                 representing a convex mapping taking values in F. as a
                 supremum of continuous affine mappings.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Mathematical Analysis and Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/0022247X",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1984:CHO
author: J. M. Borwein and P. B. Borwein
title: Cubic and higher order algorithms for $ pi $
journal: j-CAN-MATH-BULL
volume: 27
number: 4
pages: 436--443
month: dec
monthnumber: 12
year: 1984
CODEN: CMBUA3
DOI: https://doi.org/10.4153/CMB-1984-067-7
ISSN: 0008-4395 (print), 1496-4287 (electronic) OR 00084395 (print), 14964287 (electronic)
ISSNL: 0008-4395 OR 00084395
MRclass: 11Y16 (33A25 65D20)
MRnumber: 763041
MRreviewer: L. C. Eggan
bibdate: Wed Aug 10 11:09:47 2016
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://docserver.carma.newcastle.edu.au/1622/
fjournal: Canadian Mathematical Bulletin. Bulletin Canadien de Mathematiques
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://cms.math.ca/cmb/
rawauthor: J. M. Borwein and P. B. Borwein
rawtitle: Cubic and higher order algorithms for $ \pi $
ORCID: Borwein, Jonathan/0000-0002-1263-0646
bibsource:
http://cms.math.ca/cmb/v27/; https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; https://www.math.utah.edu/pub/tex/bib/canmathbull.bib; https://www.math.utah.edu/pub/tex/bib/pi.bib

entry:
@Article{Borwein:1984:CHO,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "Cubic and higher order algorithms for $ \pi $",
  journal =      j-CAN-MATH-BULL,
  volume =       "27",
  number =       "4",
  pages =        "436--443",
  month =        dec,
  year =         "1984",
  CODEN =        "CMBUA3",
  DOI =          "https://doi.org/10.4153/CMB-1984-067-7",
  ISSN =         "0008-4395 (print), 1496-4287 (electronic)",
  ISSN-L =       "0008-4395",
  MRclass =      "11Y16 (33A25 65D20)",
  MRnumber =     "763041",
  MRreviewer =   "L. C. Eggan",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "http://cms.math.ca/cmb/v27/;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/canmathbull.bib;
                 https://www.math.utah.edu/pub/tex/bib/pi.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1622/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  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",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1984:DLM
author: J. M. Borwein and H. M. Strojwas
title: Directionally Lipschitzian mappings on Baire spaces
journal: j-CAN-J-MATH
volume: 36
number: 1
pages: 95--130
year: 1984
CODEN: CJMAAB
DOI: https://doi.org/10.4153/CJM-1984-008-7
ISSN: 0008-414X (print), 1496-4279 (electronic) OR 0008414X (print), 14964279 (electronic)
ISSNL: 0008-414X OR 0008414X
MRclass: 49A52 (26A27 58C20 90C30 90C48)
MRnumber: 733710
MRreviewer: Jean-Paul Penot
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://docserver.carma.newcastle.edu.au/1627/
fjournal: Canadian Journal of Mathematics. Journal Canadien de Mathematiques
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://cms.math.ca/cjm/
rawauthor: J. M. Borwein and H. M. Str{\'o}jwas
rawtitle: Directionally {Lipschitzian} mappings on {Baire} spaces
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Borwein:1984:DLM,
  author =       "J. M. Borwein and H. M. Str{\'o}jwas",
  title =        "Directionally {Lipschitzian} mappings on {Baire}
                 spaces",
  journal =      j-CAN-J-MATH,
  volume =       "36",
  number =       "1",
  pages =        "95--130",
  year =         "1984",
  CODEN =        "CJMAAB",
  DOI =          "https://doi.org/10.4153/CJM-1984-008-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  MRclass =      "49A52 (26A27 58C20 90C30 90C48)",
  MRnumber =     "733710",
  MRreviewer =   "Jean-Paul Penot",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1627/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Canadian Journal of Mathematics. Journal Canadien de
                 Math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: inproceedings
filename: borwein-jonathan-m.bib
label: Borwein:1984:EAO
author: J. M. Borwein and P. B. Borwein
title: Explicit algebraic $n$ th order approximations to pi
crossref: Singh:1984:ATS
volume: 136
pages: 247--256
year: 1984
DOI: https://doi.org/10.1007/978-94-009-6466-2_12
MRclass: 65D20
MRnumber: 786845
bibdate: Thu Aug 11 09:36:22 MDT 2016
bibtimestamp: 2016.08.11 09:36:22 MDT
URL: http://link.springer.com/chapter/10.1007/978-94-009-6466-2_12
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: J. M. Borwein and P. B. Borwein
rawtitle: Explicit algebraic $n$ th order approximations to pi
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/pi.bib

entry:
@InProceedings{Borwein:1984:EAO,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "Explicit algebraic $n$ th order approximations to pi",
  crossref =     "Singh:1984:ATS",
  volume =       "136",
  pages =        "247--256",
  year =         "1984",
  DOI =          "https://doi.org/10.1007/978-94-009-6466-2_12",
  MRclass =      "65D20",
  MRnumber =     "786845",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/pi.bib",
  URL =          "http://link.springer.com/chapter/10.1007/978-94-009-6466-2_12",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: inproceedings
filename: borwein-jonathan-m.bib
label: Borwein:1984:EEH
author: J. M. Borwein
booktitle: APICS Proceedings
title: On the existence of eigenvalues for Hermitian matrices
pages: 1--5
year: 1984
bibdate: Mon Aug 15 15:10:50 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.15 15:10:50 ???
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: J. M. Borwein
rawbooktitle: APICS Proceedings
rawtitle: On the existence of eigenvalues for {Hermitian} matrices
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@InProceedings{Borwein:1984:EEH,
  author =       "J. M. Borwein",
  editor =       "????",
  booktitle =    "APICS Proceedings",
  title =        "On the existence of eigenvalues for {Hermitian}
                 matrices",
  publisher =    "????",
  address =      "????",
  pages =        "1--5",
  year =         "1984",
  DOI =          "",
  ISBN =         "",
  ISBN-13 =      "",
  LCCN =         "",
  bibdate =      "Mon Aug 15 15:10:50 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  xxaddress =    "Falls Church, VA",
  xxbooktitle =  "{APICS Microprocessor Seminar proceedings, January 30,
                 31, February 1, 1984, Palm Springs, {CA}}",
  xxISBN =       "0-935406-40-9",
  xxisbn-13 =    "978-0-935406-40-5",
  xxLCCN =       "TS157 .A64 1984",
  xxpublisher =  "American Production and Inventory Control Society",
}


bibtype: unpublished
filename: borwein-jonathan-m.bib
label: Borwein:1984:EIA
author: J. M. Borwein and P. B. Borwein
title: Elliptic integrals and approximations to $ pi $
pages: 1--5
month: jan
monthnumber: 1
year: 1984
bibdate: Mon Nov 07 17:37:11 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.11.07 17:37:11 ???
note: Typescript, with 84-01 added by hand on cover page.
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: J. M. Borwein and P. B. Borwein
rawnote: Typescript, with 84-01 added by hand on cover page.
rawtitle: Elliptic integrals and approximations to $ \pi $
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Unpublished{Borwein:1984:EIA,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "Elliptic integrals and approximations to $ \pi $",
  month =        jan,
  year =         "1984",
  bibdate =      "Mon Nov 07 17:37:11 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Typescript, with 84-01 added by hand on cover page.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1984:GLC
author: J. M. Borwein
title: Generalized linear complementarity problems treated without fixed-point theory
journal: j-J-OPT-THEORY-APPL
volume: 43
number: 3
pages: 343--356
year: 1984
CODEN: JOTABN
DOI: https://doi.org/10.1007/BF00934459
ISSN: 0022-3239 (print), 1573-2878 (electronic) OR 00223239 (print), 15732878 (electronic)
ISSNL: 0022-3239 OR 00223239
MRclass: 90C33 (90C25)
MRnumber: 750013
MRreviewer: Ikuyo Kaneko
bibdate: Thu Aug 11 09:36:22 MDT 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 09:36:22 MDT
URL: http://link.springer.com/article/10.1007/BF00934459
fjournal: Journal of Optimization Theory and Applications
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://link.springer.com/journal/volumesAndIssues/10957
rawauthor: J. M. Borwein
rawtitle: Generalized linear complementarity problems treated without fixed-point theory
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Borwein:1984:GLC,
  author =       "J. M. Borwein",
  title =        "Generalized linear complementarity problems treated
                 without fixed-point theory",
  journal =      j-J-OPT-THEORY-APPL,
  volume =       "43",
  number =       "3",
  pages =        "343--356",
  year =         "1984",
  CODEN =        "JOTABN",
  DOI =          "https://doi.org/10.1007/BF00934459",
  ISSN =         "0022-3239 (print), 1573-2878 (electronic)",
  ISSN-L =       "0022-3239",
  MRclass =      "90C33 (90C25)",
  MRnumber =     "750013",
  MRreviewer =   "Ikuyo Kaneko",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://link.springer.com/article/10.1007/BF00934459",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Optimization Theory and Applications",
  journal-URL =  "http://link.springer.com/journal/volumesAndIssues/10957",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1984:HMM
author: J. M. Borwein and B. Richmond
title: How many matrices have roots?
journal: j-CAN-J-MATH
volume: 36
number: 2
pages: 286--299
year: 1984
CODEN: CJMAAB
DOI: https://doi.org/10.4153/CJM-1984-018-0
ISSN: 0008-414X (print), 1496-4279 (electronic) OR 0008414X (print), 14964279 (electronic)
ISSNL: 0008-414X OR 0008414X
MRclass: 15A23
MRnumber: 749985
MRreviewer: J. L. Brenner
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://docserver.carma.newcastle.edu.au/1628/
fjournal: Canadian Journal of Mathematics. Journal Canadien de Mathematiques
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://cms.math.ca/cjm/
rawauthor: J. M. Borwein and B. Richmond
rawtitle: How many matrices have roots?
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Borwein:1984:HMM,
  author =       "J. M. Borwein and B. Richmond",
  title =        "How many matrices have roots?",
  journal =      j-CAN-J-MATH,
  volume =       "36",
  number =       "2",
  pages =        "286--299",
  year =         "1984",
  CODEN =        "CJMAAB",
  DOI =          "https://doi.org/10.4153/CJM-1984-018-0",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  MRclass =      "15A23",
  MRnumber =     "749985",
  MRreviewer =   "J. L. Brenner",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1628/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Canadian Journal of Mathematics. Journal Canadien de
                 Math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1984:ICE
author: J. M. Borwein
title: An integral characterization of Euclidean space
journal: j-BULL-AUSTRAL-MATH-SOC
volume: 29
number: 3
pages: 357--364
year: 1984
CODEN: ALNBAB
DOI: https://doi.org/10.1017/S0004972700021602
ISSN: 0004-9727 (print), 1755-1633 (electronic) OR 00049727 (print), 17551633 (electronic)
ISSNL: 0004-9727 OR 00049727
MRclass: 46C10
MRnumber: 748728
MRreviewer: M. M. Day
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://docserver.carma.newcastle.edu.au/1623/
fjournal: Bulletin of the Australian Mathematical Society
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://journals.cambridge.org/action/displayJournal?jid=BAZ
rawauthor: J. M. Borwein
rawtitle: An integral characterization of {Euclidean} space
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Borwein:1984:ICE,
  author =       "J. M. Borwein",
  title =        "An integral characterization of {Euclidean} space",
  journal =      j-BULL-AUSTRAL-MATH-SOC,
  volume =       "29",
  number =       "3",
  pages =        "357--364",
  year =         "1984",
  CODEN =        "ALNBAB",
  DOI =          "https://doi.org/10.1017/S0004972700021602",
  ISSN =         "0004-9727 (print), 1755-1633 (electronic)",
  ISSN-L =       "0004-9727",
  MRclass =      "46C10",
  MRnumber =     "748728",
  MRreviewer =   "M. M. Day",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1623/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Bulletin of the Australian Mathematical Society",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=BAZ",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1984:NMB
author: Jon M. Borwein and Brailey Sims
title: Nonexpansive mappings on Banach lattices and related topics
journal: j-HOUSTON-J-MATH
volume: 10
number: 3
pages: 339--356
year: 1984
CODEN: HJMADZ
ISSN: 0362-1588 OR 03621588
MRclass: 47H10 (46A40 46B20)
MRnumber: 763236
MRreviewer: Gregory B. Passty
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
URL: https://www.math.uh.edu/~hjm/restricted/archive/v010n3/0339BORWEIN.pdf
fjournal: Houston Journal of Mathematics
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: https://www.math.uh.edu/~hjm/
rawauthor: Jon M. Borwein and Brailey Sims
rawtitle: Nonexpansive mappings on {Banach} lattices and related topics
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Borwein:1984:NMB,
  author =       "Jon M. Borwein and Brailey Sims",
  title =        "Nonexpansive mappings on {Banach} lattices and related
                 topics",
  journal =      j-HOUSTON-J-MATH,
  volume =       "10",
  number =       "3",
  pages =        "339--356",
  year =         "1984",
  CODEN =        "HJMADZ",
  ISSN =         "0362-1588",
  MRclass =      "47H10 (46A40 46B20)",
  MRnumber =     "763236",
  MRreviewer =   "Gregory B. Passty",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "https://www.math.uh.edu/~hjm/restricted/archive/v010n3/0339BORWEIN.pdf",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Houston Journal of Mathematics",
  journal-URL =  "https://www.math.uh.edu/~hjm/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: techreport
filename: borwein-jonathan-m.bib
label: Borwein:1984:RCC
author: J. M. Borwein and P. B. Borwein
title: Reduced Complexity Calculation of Log
number: DALTR 84-01
institution: Department of Mathematics, Dalhousie University
address: Halifax, NS, Canada
pages: 17
month: jan
monthnumber: 1
year: 1984
bibdate: Mon Nov 07 17:37:11 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.11.07 17:37:11 ???
remark: Typescript, with 84-01 added by hand on cover page.
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: J. M. Borwein and P. B. Borwein
rawtitle: Reduced Complexity Calculation of Log
ORCID: Borwein, Jonathan/0000-0002-1263-0646
abstract:
Various reduced complexity methods for high precision computation of the logarithm are investigated.

keywords:
analytic complexity; arithmetic--geometric mean; binary splitting; bit complexity; elliptic integrals; Fast Fourier Transform; logarithms; operational complexity; theta functions

rawabstract:
Various reduced complexity methods for high precision computation of the logarithm are investigated.

entry:
@TechReport{Borwein:1984:RCC,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "Reduced Complexity Calculation of Log",
  number =       "DALTR 84-01",
  institution =  "Department of Mathematics, Dalhousie University",
  address =      "Halifax, NS, Canada",
  pages =        "17",
  month =        jan,
  year =         "1984",
  bibdate =      "Mon Nov 07 17:37:11 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  abstract =     "Various reduced complexity methods for high precision
                 computation of the logarithm are investigated.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  keywords =     "analytic complexity; arithmetic--geometric mean;
                 binary splitting; bit complexity; elliptic integrals;
                 Fast Fourier Transform; logarithms; operational
                 complexity; theta functions",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "Typescript, with 84-01 added by hand on cover page.",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1984:SCO
author: J. M. Borwein
title: Subgradients of convex operators
journal: j-OPTIMIZATION
volume: 15
number: 2
pages: 179--191
year: 1984
CODEN: OPTZDQ
DOI: https://doi.org/10.1080/02331938408842921
ISSN: 0323-3898 OR 03233898
ISSNL: 0233-1934 OR 02331934
MRclass: 90C25 (65K05)
MRnumber: 741284
MRreviewer: C. A. Botsaris
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
fjournal: Mathematische Operationsforschung und Statistik Series Optimization
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://www.tandfonline.com/loi/gopt20
rawauthor: J. M. Borwein
rawtitle: Subgradients of convex operators
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Borwein:1984:SCO,
  author =       "J. M. Borwein",
  title =        "Subgradients of convex operators",
  journal =      j-OPTIMIZATION,
  volume =       "15",
  number =       "2",
  pages =        "179--191",
  year =         "1984",
  CODEN =        "OPTZDQ",
  DOI =          "https://doi.org/10.1080/02331938408842921",
  ISSN =         "0323-3898",
  ISSN-L =       "0233-1934",
  MRclass =      "90C25 (65K05)",
  MRnumber =     "741284",
  MRreviewer =   "C. A. Botsaris",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Mathematische Operationsforschung und Statistik Series
                 Optimization",
  journal-URL =  "http://www.tandfonline.com/loi/gopt20",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: techreport
filename: borwein-jonathan-m.bib
label: Borwein:1984:SCS
author: J. M. Borwein and D. W. Tingley
title: On Supportless Convex Sets
type: Report
number: DALTR 84-04
institution: Department of Mathematics, Dalhousie University
address: Halifax, NS, Canada
pages: 13
year: 1984
bibdate: Tue Nov 08 15:45:14 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.11.08 15:45:14 ???
keywords: Bishop-Phelps Theorem; convex sets; support points
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: J. M. Borwein and D. W. Tingley
rawtitle: On Supportless Convex Sets
ORCID: Borwein, Jonathan/0000-0002-1263-0646
abstract:
We give some general constructions of supportless convex subsets of normed spaces and pose a number of open questions.

rawabstract:
We give some general constructions of supportless convex subsets of normed spaces and pose a number of open questions.

entry:
@TechReport{Borwein:1984:SCS,
  author =       "J. M. Borwein and D. W. Tingley",
  title =        "On Supportless Convex Sets",
  type =         "Report",
  number =       "DALTR 84-04",
  institution =  "Department of Mathematics, Dalhousie University",
  address =      "Halifax, NS, Canada",
  pages =        "13",
  year =         "1984",
  bibdate =      "Tue Nov 08 15:45:14 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  abstract =     "We give some general constructions of supportless
                 convex subsets of normed spaces and pose a number of
                 open questions.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  keywords =     "Bishop-Phelps Theorem; convex sets; support points",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: techreport
filename: borwein-jonathan-m.bib
label: Borwein:1984:SRP
author: J. M. Borwein
title: Stability and Regular Points of Inequality Systems
type: Report
number: DALTR 84-02
institution: Department of Mathematics, Dalhousie University and Carnegie-Mellon University
address: Halifax, NS, Canada and Pittsburgh, PA, USA
pages: 67
year: 1984
bibdate: Tue Nov 08 15:45:14 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.11.08 15:45:14 ???
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: J. M. Borwein
rawtitle: Stability and Regular Points of Inequality Systems
ORCID: Borwein, Jonathan/0000-0002-1263-0646
abstract:
We undertake a general study of regular points of Lipschitz and strictly differentiable mappings with applications to tangent cone analysis, inversion theorems, perturbed optimization problems and higher order conditions.

rawabstract:
We undertake a general study of regular points of Lipschitz and strictly differentiable mappings with applications to tangent cone analysis, inversion theorems, perturbed optimization problems and higher order conditions.

entry:
@TechReport{Borwein:1984:SRP,
  author =       "J. M. Borwein",
  title =        "Stability and Regular Points of Inequality Systems",
  type =         "Report",
  number =       "DALTR 84-02",
  institution =  "Department of Mathematics, Dalhousie University and
                 Carnegie-Mellon University",
  address =      "Halifax, NS, Canada and Pittsburgh, PA, USA",
  pages =        "67",
  year =         "1984",
  bibdate =      "Tue Nov 08 15:45:14 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  abstract =     "We undertake a general study of regular points of
                 Lipschitz and strictly differentiable mappings with
                 applications to tangent cone analysis, inversion
                 theorems, perturbed optimization problems and higher
                 order conditions.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: techreport
filename: borwein-jonathan-m.bib
label: Borwein:1984:TCS
author: J. M. Borwein and P. B. Borwein
title: A tangent cone separation principle
type: Report
number: DALTR 84-03
institution: Department of Mathematics, Dalhousie University
address: Halifax, NS, Canada
pages: 67
month: jan
monthnumber: 1
year: 1984
bibdate: Mon Nov 07 17:37:11 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.11.07 17:37:11 ???
remark: Typescript, with DALTR added by hand on cover page before typewritten 84-03.
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: J. M. Borwein and P. B. Borwein
rawtitle: A tangent cone separation principle
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@TechReport{Borwein:1984:TCS,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "A tangent cone separation principle",
  type =         "Report",
  number =       "DALTR 84-03",
  institution =  "Department of Mathematics, Dalhousie University",
  address =      "Halifax, NS, Canada",
  month =        jan,
  year =         "1984",
  bibdate =      "Mon Nov 07 17:37:11 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "Typescript, with DALTR added by hand on cover page
                 before typewritten 84-03.",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1984:TKN
author: J. M. Borwein and J. W. Nieuwenhuis
title: Two kinds of normality in vector optimization
journal: j-MATH-PROG
volume: 28
number: 2
pages: 185--191
year: 1984
CODEN: MHPGA4
DOI: https://doi.org/10.1007/BF02612358
ISSN: 0025-5610 (print), 1436-4646 (electronic) OR 00255610 (print), 14364646 (electronic)
ISSNL: 0025-5610 OR 00255610
MRclass: 90C31
MRnumber: 733210
MRreviewer: M. Ma{\v{n}}as
bibdate: Thu Aug 11 09:36:22 MDT 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 09:36:22 MDT
URL: http://docserver.carma.newcastle.edu.au/1626/; http://link.springer.com/article/10.1007/BF02612358
fjournal: Mathematical Programming
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://link.springer.com/journal/10107
rawauthor: J. M. Borwein and J. W. Nieuwenhuis
rawtitle: Two kinds of normality in vector optimization
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Borwein:1984:TKN,
  author =       "J. M. Borwein and J. W. Nieuwenhuis",
  title =        "Two kinds of normality in vector optimization",
  journal =      j-MATH-PROG,
  volume =       "28",
  number =       "2",
  pages =        "185--191",
  year =         "1984",
  CODEN =        "MHPGA4",
  DOI =          "https://doi.org/10.1007/BF02612358",
  ISSN =         "0025-5610 (print), 1436-4646 (electronic)",
  ISSN-L =       "0025-5610",
  MRclass =      "90C31",
  MRnumber =     "733210",
  MRreviewer =   "M. Ma{\v{n}}as",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1626/;
                 http://link.springer.com/article/10.1007/BF02612358",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Mathematical Programming",
  journal-URL =  "http://link.springer.com/journal/10107",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: incollection
filename: borwein-jonathan-m.bib
label: Borwein:1985:ATG
author: Jonathan M. Borwein
booktitle: Infinite programming (Cambridge, 1984)
title: Alternative theorems for general complementarity problems
volume: 259
publisher: pub-SV
address: pub-SV:adr
pages: 194--203
year: 1985
DOI: https://doi.org/10.1007/978-3-642-46564-2_15
MRclass: 90C33 (52A40)
MRnumber: 824573
MRreviewer: J. Parida
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
series: Lecture Notes in Econom. and Math. Systems
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Jonathan M. Borwein
rawbooktitle: Infinite programming ({Cambridge}, 1984)
rawtitle: Alternative theorems for general complementarity problems
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@InCollection{Borwein:1985:ATG,
  author =       "Jonathan M. Borwein",
  booktitle =    "Infinite programming ({Cambridge}, 1984)",
  title =        "Alternative theorems for general complementarity
                 problems",
  volume =       "259",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "194--203",
  year =         "1985",
  DOI =          "https://doi.org/10.1007/978-3-642-46564-2_15",
  MRclass =      "90C33 (52A40)",
  MRnumber =     "824573",
  MRreviewer =   "J. Parida",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  series =       "Lecture Notes in Econom. and Math. Systems",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1985:CLS
author: David Borwein and Jonathan M. Borwein and Keith F. Taylor
title: Convergence of lattice sums and Madelung's constant
journal: j-J-MATH-PHYS
volume: 26
number: 11
pages: 2999--3009
month: nov
monthnumber: 11
year: 1985
CODEN: JMAPAQ
DOI: https://doi.org/10.1063/1.526675
ISSN: 0022-2488 OR 00222488
ISSNL: 0022-2488 OR 00222488
MRclass: 82A67 (82A60)
MRnumber: 808518
MRreviewer: Pierre Moussa
bibdate: Thu Aug 11 07:19:54 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 07:19:54 ???
URL: http://adsabs.harvard.edu/abs/1985JMP....26.2999B; http://docserver.carma.newcastle.edu.au/1618/
fjournal: Journal of Mathematical Physics
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://jmp.aip.org/
rawauthor: David Borwein and Jonathan M. Borwein and Keith F. Taylor
rawtitle: Convergence of lattice sums and {Madelung}'s constant
ORCID: Borwein, Jonathan/0000-0002-1263-0646
abstract:
The lattice sums involved in the definition of Madelung's constant of an NaCl-type crystal lattice in two or three dimensions are investigated. The fundamental mathematical questions of convergence and uniqueness of the sum of these, not absolutely convergent, series are considered. It is shown that some of the simplest direct sum methods converge and some do not converge. In particular, the very common method of expressing Madelung's constant by a series obtained from expanding spheres does not converge. The concept of analytic continuation of a complex function to provide a basis for an unambiguous mathematical definition of Madelung's constant is introduced. By these means, the simple intuitive direct sum methods and the powerful integral transformation methods, which are based on theta function identities and the Mellin transform, are brought together. A brief analysis of a hexagonal lattice is also given.

rawabstract:
The lattice sums involved in the definition of Madelung's constant of an NaCl-type crystal lattice in two or three dimensions are investigated. The fundamental mathematical questions of convergence and uniqueness of the sum of these, not absolutely convergent, series are considered. It is shown that some of the simplest direct sum methods converge and some do not converge. In particular, the very common method of expressing Madelung's constant by a series obtained from expanding spheres does not converge. The concept of analytic continuation of a complex function to provide a basis for an unambiguous mathematical definition of Madelung's constant is introduced. By these means, the simple intuitive direct sum methods and the powerful integral transformation methods, which are based on theta function identities and the Mellin transform, are brought together. A brief analysis of a hexagonal lattice is also given.

entry:
@Article{Borwein:1985:CLS,
  author =       "David Borwein and Jonathan M. Borwein and Keith F.
                 Taylor",
  title =        "Convergence of lattice sums and {Madelung}'s
                 constant",
  journal =      j-J-MATH-PHYS,
  volume =       "26",
  number =       "11",
  pages =        "2999--3009",
  month =        nov,
  year =         "1985",
  CODEN =        "JMAPAQ",
  DOI =          "https://doi.org/10.1063/1.526675",
  ISSN =         "0022-2488",
  ISSN-L =       "0022-2488",
  MRclass =      "82A67 (82A60)",
  MRnumber =     "808518",
  MRreviewer =   "Pierre Moussa",
  bibdate =      "Thu Aug 11 07:19:54 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://adsabs.harvard.edu/abs/1985JMP....26.2999B;
                 http://docserver.carma.newcastle.edu.au/1618/",
  abstract =     "The lattice sums involved in the definition of
                 Madelung's constant of an NaCl-type crystal lattice in
                 two or three dimensions are investigated. The
                 fundamental mathematical questions of convergence and
                 uniqueness of the sum of these, not absolutely
                 convergent, series are considered. It is shown that
                 some of the simplest direct sum methods converge and
                 some do not converge. In particular, the very common
                 method of expressing Madelung's constant by a series
                 obtained from expanding spheres does not converge. The
                 concept of analytic continuation of a complex function
                 to provide a basis for an unambiguous mathematical
                 definition of Madelung's constant is introduced. By
                 these means, the simple intuitive direct sum methods
                 and the powerful integral transformation methods, which
                 are based on theta function identities and the Mellin
                 transform, are brought together. A brief analysis of a
                 hexagonal lattice is also given.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Mathematical Physics",
  journal-URL =  "http://jmp.aip.org/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1985:PSA
author: Jon Borwein and Anatole Beck
title: Problems and Solutions: Advanced Problems: 6491--6492
journal: j-AMER-MATH-MONTHLY
volume: 92
number: 3
pages: 217--217
month: mar
monthnumber: 3
year: 1985
CODEN: AMMYAE
DOI: https://doi.org/10.2307/2322884
ISSN: 0002-9890 (print), 1930-0972 (electronic) OR 00029890 (print), 19300972 (electronic)
ISSNL: 0002-9890 OR 00029890
MRnumber: 1540608
bibdate: Wed Aug 10 11:09:47 2016
bibtimestamp: 2016.08.10 11:09:47 ???
note: See also cite Beck:1987:PSS,Borwein:1986:PSS.
fjournal: American Mathematical Monthly
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://www.jstor.org/journals/00029890.html
rawauthor: Jon Borwein and Anatole Beck
rawnote: See also \cite{Beck:1987:PSS,Borwein:1986:PSS}.
rawtitle: Problems and Solutions: Advanced Problems: 6491--6492
ORCID: Borwein, Jonathan/0000-0002-1263-0646
bibsource:
http://www.jstor.org/journals/00029890.htm; https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib

entry:
@Article{Borwein:1985:PSA,
  author =       "Jon Borwein and Anatole Beck",
  title =        "Problems and Solutions: Advanced Problems:
                 6491--6492",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "92",
  number =       "3",
  pages =        "217--217",
  month =        mar,
  year =         "1985",
  CODEN =        "AMMYAE",
  DOI =          "https://doi.org/10.2307/2322884",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRnumber =     "1540608",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "http://www.jstor.org/journals/00029890.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
  note =         "See also \cite{Beck:1987:PSS,Borwein:1986:PSS}.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/journals/00029890.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1985:PSS
author: J. Borwein
title: Problems and Solutions: Solutions of Advanced Problems: 6430
journal: j-AMER-MATH-MONTHLY
volume: 92
number: 2
pages: 148--149
month: feb
monthnumber: 2
year: 1985
CODEN: AMMYAE
DOI: https://doi.org/10.2307/2322656
ISSN: 0002-9890 (print), 1930-0972 (electronic) OR 00029890 (print), 19300972 (electronic)
ISSNL: 0002-9890 OR 00029890
MRnumber: 1540590
bibdate: Wed Aug 10 11:09:47 2016
bibtimestamp: 2016.08.10 11:09:47 ???
note: See also cite Borwein:1983:PSA.
fjournal: American Mathematical Monthly
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://www.jstor.org/journals/00029890.html
rawauthor: J. Borwein
rawnote: See also \cite{Borwein:1983:PSA}.
rawtitle: Problems and Solutions: Solutions of Advanced Problems: 6430
ORCID: Borwein, Jonathan/0000-0002-1263-0646
bibsource:
http://www.jstor.org/journals/00029890.htm; https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib

entry:
@Article{Borwein:1985:PSS,
  author =       "J. Borwein",
  title =        "Problems and Solutions: Solutions of Advanced
                 Problems: 6430",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "92",
  number =       "2",
  pages =        "148--149",
  month =        feb,
  year =         "1985",
  CODEN =        "AMMYAE",
  DOI =          "https://doi.org/10.2307/2322656",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRnumber =     "1540590",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "http://www.jstor.org/journals/00029890.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
  note =         "See also \cite{Borwein:1983:PSA}.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/journals/00029890.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1985:SCS
author: J. M. Borwein and D. W. Tingley
title: On supportless convex sets
journal: j-PROC-AM-MATH-SOC
volume: 94
number: 3
pages: 471--476
year: 1985
CODEN: PAMYAR
DOI: https://doi.org/10.2307/2045238
ISSN: 0002-9939 (print), 1088-6826 (electronic) OR 00029939 (print), 10886826 (electronic)
ISSNL: 0002-9939 OR 00029939
MRclass: 46B20 (46A55 52A07)
MRnumber: 787897
MRreviewer: N. T. Peck
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://docserver.carma.newcastle.edu.au/1619/
fjournal: Proceedings of the American Mathematical Society
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://www.ams.org/journals/proc
rawauthor: J. M. Borwein and D. W. Tingley
rawtitle: On supportless convex sets
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Borwein:1985:SCS,
  author =       "J. M. Borwein and D. W. Tingley",
  title =        "On supportless convex sets",
  journal =      j-PROC-AM-MATH-SOC,
  volume =       "94",
  number =       "3",
  pages =        "471--476",
  year =         "1985",
  CODEN =        "PAMYAR",
  DOI =          "https://doi.org/10.2307/2045238",
  ISSN =         "0002-9939 (print), 1088-6826 (electronic)",
  ISSN-L =       "0002-9939",
  MRclass =      "46B20 (46A55 52A07)",
  MRnumber =     "787897",
  MRreviewer =   "N. T. Peck",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1619/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Proceedings of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/proc",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1985:SMI
author: Jon Borwein
title: Some modular identities of Ramanujan useful in approximating $ pi $
journal: j-PROC-AM-MATH-SOC
volume: 95
number: 3
pages: 365--371
month: nov
monthnumber: 11
year: 1985
CODEN: PAMYAR
DOI: https://doi.org/10.2307/2045804
ISSN: 0002-9939 (print), 1088-6826 (electronic) OR 00029939 (print), 10886826 (electronic)
ISSNL: 0002-9939 OR 00029939
MRclass: 11F03 (11J72 41A25)
MRnumber: 806072
MRreviewer: Bruce C. Berndt
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://docserver.carma.newcastle.edu.au/1616/; http://www.jstor.org/stable/2045804
fjournal: Proceedings of the American Mathematical Society
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://www.ams.org/journals/proc
rawauthor: Jon Borwein
rawtitle: Some modular identities of {Ramanujan} useful in approximating $ \pi $
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Borwein:1985:SMI,
  author =       "Jon Borwein",
  title =        "Some modular identities of {Ramanujan} useful in
                 approximating $ \pi $",
  journal =      j-PROC-AM-MATH-SOC,
  volume =       "95",
  number =       "3",
  pages =        "365--371",
  month =        nov,
  year =         "1985",
  CODEN =        "PAMYAR",
  DOI =          "https://doi.org/10.2307/2045804",
  ISSN =         "0002-9939 (print), 1088-6826 (electronic)",
  ISSN-L =       "0002-9939",
  MRclass =      "11F03 (11J72 41A25)",
  MRnumber =     "806072",
  MRreviewer =   "Bruce C. Berndt",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1616/;
                 http://www.jstor.org/stable/2045804",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Proceedings of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/proc",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1985:TA
author: J. M. Borwein and H. M. Strojwas
title: Tangential approximations
journal: j-NONLINEAR-ANAL
volume: 9
number: 12
pages: 1347--1366
year: 1985
CODEN: NOANDD
DOI: https://doi.org/10.1016/0362-546X(85)90095-1
ISSN: 0362-546x (print), 1873-5215 (electronic) OR 0362546x (print), 18735215 (electronic)
ISSNL: 0362-546X OR 0362546X
MRclass: 90C48 (46A55 90C25)
MRnumber: 820646
MRreviewer: Christian Malivert
bibdate: Thu Aug 11 10:27:38 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 10:27:38 ???
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: https://www.sciencedirect.com/journal/nonlinear-analysis
rawauthor: J. M. Borwein and H. M. Str{\'o}jwas
rawtitle: Tangential approximations
ORCID: Borwein, Jonathan/0000-0002-1263-0646
URL:
http://docserver.carma.newcastle.edu.au/1617/; http://www.sciencedirect.com/science/article/pii/0362546X85900951

fjournal:
Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal. Series A: Theory and Methods

keywords:
epi-Lipschitzian (compactly epi-Lipschitzian; Tangent cones; tangentially regular) set at a point; unsupportable space

entry:
@Article{Borwein:1985:TA,
  author =       "J. M. Borwein and H. M. Str{\'o}jwas",
  title =        "Tangential approximations",
  journal =      j-NONLINEAR-ANAL,
  volume =       "9",
  number =       "12",
  pages =        "1347--1366",
  year =         "1985",
  CODEN =        "NOANDD",
  DOI =          "https://doi.org/10.1016/0362-546X(85)90095-1",
  ISSN =         "0362-546x (print), 1873-5215 (electronic)",
  ISSN-L =       "0362-546X",
  MRclass =      "90C48 (46A55 90C25)",
  MRnumber =     "820646",
  MRreviewer =   "Christian Malivert",
  bibdate =      "Thu Aug 11 10:27:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1617/;
                 http://www.sciencedirect.com/science/article/pii/0362546X85900951",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Nonlinear Analysis. Theory, Methods \& Applications.
                 An International Multidisciplinary Journal. Series A:
                 Theory and Methods",
  journal-URL =  "https://www.sciencedirect.com/journal/nonlinear-analysis",
  keywords =     "epi-Lipschitzian (compactly epi-Lipschitzian; Tangent
                 cones; tangentially regular) set at a point;
                 unsupportable space",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Honor:1985:DTR
author: R. B. Honor
title: Density and transitivity results on $ l^infty $ and $ l^1 $
journal: j-J-LOND-MATH-SOC-2
volume: S2-32
number: 3
pages: 521--527
month: dec
monthnumber: 12
year: 1985
CODEN: JLMSAK
DOI: https://doi.org/10.1112/jlms/s2-32.3.521
ISSN: 0024-6107 (print), 1469-7750 (electronic) OR 00246107 (print), 14697750 (electronic)
ISSNL: 0024-6107 OR 00246107
bibdate: Fri Aug 12 15:21:25 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.12 15:21:25 ???
URL: http://jlms.oxfordjournals.org/content/s2-32/3/521.full.pdf+html
fjournal: Journal of the London Mathematical Society (series 2)
acknowledgement: ack-nhfb
ajournal: J. Lond. Math. Soc. (2)
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://jlms.oxfordjournals.org/content/by/year
rawauthor: R. B. Honor
rawtitle: Density and transitivity results on $ l^\infty $ and $ l^1 $
ORCID: Borwein, Jonathan/0000-0002-1263-0646
note:
The `author' is an acronym for the family names of seven people: Heydar Radjavi, Jon Borwein, Don Hadwin, Richard O'Brien, Eric Nordgren, Mehmet Orhon, and Peter Rose.

rawnote:
The `author' is an acronym for the family names of seven people: Heydar Radjavi, Jon Borwein, Don Hadwin, Richard O'Brien, Eric Nordgren, Mehmet Orhon, and Peter Rose.

entry:
@Article{Honor:1985:DTR,
  author =       "R. B. Honor",
  title =        "Density and transitivity results on $ l^\infty $ and $
                 l^1 $",
  journal =      j-J-LOND-MATH-SOC-2,
  volume =       "S2-32",
  number =       "3",
  pages =        "521--527",
  month =        dec,
  year =         "1985",
  CODEN =        "JLMSAK",
  DOI =          "https://doi.org/10.1112/jlms/s2-32.3.521",
  ISSN =         "0024-6107 (print), 1469-7750 (electronic)",
  ISSN-L =       "0024-6107",
  bibdate =      "Fri Aug 12 15:21:25 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "The `author' is an acronym for the family names of
                 seven people: Heydar Radjavi, Jon Borwein, Don Hadwin,
                 Richard O'Brien, Eric Nordgren, Mehmet Orhon, and Peter
                 Rose.",
  URL =          "http://jlms.oxfordjournals.org/content/s2-32/3/521.full.pdf+html",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Lond. Math. Soc. (2)",
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of the London Mathematical Society (series
                 2)",
  journal-URL =  "http://jlms.oxfordjournals.org/content/by/year",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Adler:1986:PSS
author: Irving Adler and A. A. Jagers and J. M. Borwein
title: Problems and Solutions: Solutions of Elementary Problems: E2997
journal: j-AMER-MATH-MONTHLY
volume: 93
number: 4
pages: 304--304
month: apr
monthnumber: 4
year: 1986
CODEN: AMMYAE
DOI: https://doi.org/10.2307/2323694
ISSN: 0002-9890 (print), 1930-0972 (electronic) OR 00029890 (print), 19300972 (electronic)
ISSNL: 0002-9890 OR 00029890
MRnumber: 1540849
bibdate: Wed Aug 10 11:09:47 2016
bibtimestamp: 2016.08.10 11:09:47 ???
note: See also cite Asic:1983:PSE.
fjournal: American Mathematical Monthly
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://www.jstor.org/journals/00029890.html
rawauthor: Irving Adler and A. A. Jagers and J. M. Borwein
rawnote: See also \cite{Asic:1983:PSE}.
rawtitle: Problems and Solutions: Solutions of Elementary Problems: {E2997}
ORCID: Borwein, Jonathan/0000-0002-1263-0646
bibsource:
http://www.jstor.org/journals/00029890.htm; https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib

entry:
@Article{Adler:1986:PSS,
  author =       "Irving Adler and A. A. Jagers and J. M. Borwein",
  title =        "Problems and Solutions: Solutions of Elementary
                 Problems: {E2997}",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "93",
  number =       "4",
  pages =        "304--304",
  month =        apr,
  year =         "1986",
  CODEN =        "AMMYAE",
  DOI =          "https://doi.org/10.2307/2323694",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRnumber =     "1540849",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "http://www.jstor.org/journals/00029890.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
  note =         "See also \cite{Asic:1983:PSE}.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/journals/00029890.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1986:ECI
author: J. M. Borwein and P. B. Borwein
title: An explicit cubic iteration for $ pi $
journal: j-BIT
volume: 26
number: 1
pages: 123--126
month: mar
monthnumber: 3
year: 1986
CODEN: BITTEL, NBITAB
DOI: https://doi.org/10.1007/BF01939368
ISSN: 0006-3835 (print), 1572-9125 (electronic) OR 00063835 (print), 15729125 (electronic)
ISSNL: 0006-3835 OR 00063835
MRclass: 11Y60 (65D20)
MRnumber: 833837, 87e:11144
MRreviewer: Duncan A. Buell
bibdate: Thu Aug 11 09:36:22 MDT 2016
bibtimestamp: 2016.08.11 09:36:22 MDT
fjournal: BIT (Nordisk tidskrift for informationsbehandling)
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://link.springer.com/journal/10543
rawauthor: J. M. Borwein and P. B. Borwein
rawtitle: An explicit cubic iteration for $ \pi $
ORCID: Borwein, Jonathan/0000-0002-1263-0646
bibsource:
http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=26&issue=1; https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; https://www.math.utah.edu/pub/tex/bib/bit.bib

URL:
http://docserver.carma.newcastle.edu.au/1609/; http://link.springer.com/article/10.1007/BF01939368; http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=26&issue=1&spage=123

entry:
@Article{Borwein:1986:ECI,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "An explicit cubic iteration for $ \pi $",
  journal =      j-BIT,
  volume =       "26",
  number =       "1",
  pages =        "123--126",
  month =        mar,
  year =         "1986",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "https://doi.org/10.1007/BF01939368",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  MRclass =      "11Y60 (65D20)",
  MRnumber =     "833837, 87e:11144",
  MRreviewer =   "Duncan A. Buell",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=26&issue=1;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/bit.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1609/;
                 http://link.springer.com/article/10.1007/BF01939368;
                 http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=26&issue=1&spage=123",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "BIT (Nordisk tidskrift for informationsbehandling)",
  journal-URL =  "http://link.springer.com/journal/10543",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1986:FMT
author: J. M. Borwein and D. Zhuang
title: On Fan's minimax theorem
journal: j-MATH-PROG
volume: 34
number: 2
pages: 232--234
year: 1986
CODEN: MHPGA4
DOI: https://doi.org/10.1007/BF01580587
ISSN: 0025-5610 (print), 1436-4646 (electronic) OR 00255610 (print), 14364646 (electronic)
ISSNL: 0025-5610 OR 00255610
MRclass: 90C30 (90C48)
MRnumber: 838482
MRreviewer: Marco Gaviano
bibdate: Thu Aug 11 09:36:22 MDT 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 09:36:22 MDT
URL: http://docserver.carma.newcastle.edu.au/1608/; http://link.springer.com/article/10.1007/BF01580587
fjournal: Mathematical Programming
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://link.springer.com/journal/10107
rawauthor: J. M. Borwein and D. Zhuang
rawtitle: On {Fan}'s minimax theorem
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Borwein:1986:FMT,
  author =       "J. M. Borwein and D. Zhuang",
  title =        "On {Fan}'s minimax theorem",
  journal =      j-MATH-PROG,
  volume =       "34",
  number =       "2",
  pages =        "232--234",
  year =         "1986",
  CODEN =        "MHPGA4",
  DOI =          "https://doi.org/10.1007/BF01580587",
  ISSN =         "0025-5610 (print), 1436-4646 (electronic)",
  ISSN-L =       "0025-5610",
  MRclass =      "90C30 (90C48)",
  MRnumber =     "838482",
  MRreviewer =   "Marco Gaviano",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1608/;
                 http://link.springer.com/article/10.1007/BF01580587",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Mathematical Programming",
  journal-URL =  "http://link.springer.com/journal/10107",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1986:GDO
author: Jonathan M. Borwein
title: Generic differentiability of order-bounded convex operators
journal: j-J-AUSTRAL-MATH-SOC-SER-B
volume: 28
number: 1
pages: 22--29
month: jul
monthnumber: 7
year: 1986
CODEN: JAMMDU
DOI: https://doi.org/10.1017/S0334270000005166
ISSN: 0334-2700 OR 03342700
ISSNL: 0334-2700 OR 03342700
MRclass: 90C25 (46G05 90C48)
MRnumber: 846780
MRreviewer: Christian Malivert
bibdate: Fri Sep 30 10:52:51 2016
bibtimestamp: 2016.09.30 10:52:51 ???
fjournal: Journal of the Australian Mathematical Society. Series B, Applied Mathematics
acknowledgement: ack-nhfb
ajournal: J. Austral Math. Soc. Ser. B
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://journals.cambridge.org/action/displayJournal?jid=ANZ
onlinedate: 17 February 2009
rawauthor: Jonathan M. Borwein
rawtitle: Generic differentiability of order-bounded convex operators
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/anziamj.bib

URL:
http://docserver.carma.newcastle.edu.au/1607/; http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=3973752; https://www.cambridge.org/core/journals/anziam-journal/article/generic-differentiability-of-orderbounded-convex-oparators/EBC10922AB270DAAF5784308C7E3157A

entry:
@Article{Borwein:1986:GDO,
  author =       "Jonathan M. Borwein",
  title =        "Generic differentiability of order-bounded convex
                 operators",
  journal =      j-J-AUSTRAL-MATH-SOC-SER-B,
  volume =       "28",
  number =       "1",
  pages =        "22--29",
  month =        jul,
  year =         "1986",
  CODEN =        "JAMMDU",
  DOI =          "https://doi.org/10.1017/S0334270000005166",
  ISSN =         "0334-2700",
  ISSN-L =       "0334-2700",
  MRclass =      "90C25 (46G05 90C48)",
  MRnumber =     "846780",
  MRreviewer =   "Christian Malivert",
  bibdate =      "Fri Sep 30 10:52:51 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 =          "http://docserver.carma.newcastle.edu.au/1607/;
                 http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=3973752;
                 https://www.cambridge.org/core/journals/anziam-journal/article/generic-differentiability-of-orderbounded-convex-oparators/EBC10922AB270DAAF5784308C7E3157A",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Austral Math. Soc. Ser. B",
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of the Australian Mathematical Society. Series
                 B, Applied Mathematics",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=ANZ",
  onlinedate =   "17 February 2009",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: techreport
filename: borwein-jonathan-m.bib
label: Borwein:1986:LOC
author: J. M. Borwein and M. A. H. Dempster
title: The Linear Order Complementarity Problem
type: Report
number: DALTR 86-3
address: Halifax, NS, Canada and Oxford, England OX1 3BJ
pages: 47
month: jul
monthnumber: 7
year: 1986
bibdate: Tue Nov 08 15:45:14 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.11.08 15:45:14 ???
remark: Revision of August 1985 original.
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: J. M. Borwein and M. A. H. Dempster
rawtitle: The Linear Order Complementarity Problem
ORCID: Borwein, Jonathan/0000-0002-1263-0646
institution:
Department of Mathematics, Statistics & Computing Science, Dalhousie University and Balliol College, Oxford University

abstract:
The classical complementarity problem in Euclidean space can be viewed alternatively as a variational inequality or as a lattice orthogonality problem. Generalizations of the former have been extensively studied, but infinite dimensional analogues of the latter have been largely ignored. Moreover, as we show, many well known results about the classical complementarity problem are more appropriately viewed order-theoretically. This is particularly true of least element solutions, which are central to the present study of order complementarity in vector lattices.

keywords:
(P) operators; (Z) operators; Banach lattices; complementarity problems; Least elements; order complementarity

rawabstract:
The classical complementarity problem in Euclidean space can be viewed alternatively as a variational inequality or as a lattice orthogonality problem. Generalizations of the former have been extensively studied, but infinite dimensional analogues of the latter have been largely ignored. Moreover, as we show, many well known results about the classical complementarity problem are more appropriately viewed order-theoretically. This is particularly true of least element solutions, which are central to the present study of order complementarity in vector lattices.

entry:
@TechReport{Borwein:1986:LOC,
  author =       "J. M. Borwein and M. A. H. Dempster",
  title =        "The Linear Order Complementarity Problem",
  type =         "Report",
  number =       "DALTR 86-3",
  institution =  "Department of Mathematics, Statistics \& Computing
                 Science, Dalhousie University and Balliol College,
                 Oxford University",
  address =      "Halifax, NS, Canada and Oxford, England OX1 3BJ",
  pages =        "47",
  month =        jul,
  year =         "1986",
  bibdate =      "Tue Nov 08 15:45:14 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  abstract =     "The classical complementarity problem in Euclidean
                 space can be viewed alternatively as a variational
                 inequality or as a lattice orthogonality problem.
                 Generalizations of the former have been extensively
                 studied, but infinite dimensional analogues of the
                 latter have been largely ignored. Moreover, as we show,
                 many well known results about the classical
                 complementarity problem are more appropriately viewed
                 order-theoretically. This is particularly true of least
                 element solutions, which are central to the present
                 study of order complementarity in vector lattices.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  keywords =     "(P) operators; (Z) operators; Banach lattices;
                 complementarity problems; Least elements; order
                 complementarity",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "Revision of August 1985 original.",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1986:MQC
author: J. M. Borwein and P. B. Borwein
title: More quadratically converging algorithms for $ pi $
journal: j-MATH-COMPUT
volume: 46
number: 173
pages: 247--253
month: jan
monthnumber: 1
year: 1986
CODEN: MCMPAF
DOI: https://doi.org/10.2307/2008229
ISSN: 0025-5718 (print), 1088-6842 (electronic) OR 00255718 (print), 10886842 (electronic)
ISSNL: 0025-5718 OR 00255718
MRclass: 65D20
MRnumber: 815846, 87e:65014
MRreviewer: M. M. Chawla
bibdate: Wed Aug 10 11:09:47 2016
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://docserver.carma.newcastle.edu.au/1614/
fjournal: Mathematics of Computation
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
corpsource: Dalhousie Univ., Halifax, NS, Canada
journalURL: http://www.ams.org/mcom/
treatment: T Theoretical or Mathematical
rawauthor: J. M. Borwein and P. B. Borwein
rawtitle: More quadratically converging algorithms for $ \pi $
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/mathcomp1980.bib; JSTOR database

keywords:
arithmetic--geometric mean iteration; complete elliptic; convergence of numerical methods; Gauss--Legendre iteration; geometry; integrals; iterative; Legendre formula; methods; pi evaluation; quadratically converging algorithms

classcodes:
B0290F (Interpolation and function approximation); B0290Z (Other numerical methods); C4130 (Interpolation and function approximation); C4190 (Other numerical methods)

entry:
@Article{Borwein:1986:MQC,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "More quadratically converging algorithms for $ \pi $",
  journal =      j-MATH-COMPUT,
  volume =       "46",
  number =       "173",
  pages =        "247--253",
  month =        jan,
  year =         "1986",
  CODEN =        "MCMPAF",
  DOI =          "https://doi.org/10.2307/2008229",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65D20",
  MRnumber =     "815846, 87e:65014",
  MRreviewer =   "M. M. Chawla",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
                 JSTOR database",
  URL =          "http://docserver.carma.newcastle.edu.au/1614/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  classcodes =   "B0290F (Interpolation and function approximation);
                 B0290Z (Other numerical methods); C4130 (Interpolation
                 and function approximation); C4190 (Other numerical
                 methods)",
  corpsource =   "Dalhousie Univ., Halifax, NS, Canada",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "arithmetic--geometric mean iteration; complete
                 elliptic; convergence of numerical methods;
                 Gauss--Legendre iteration; geometry; integrals;
                 iterative; Legendre formula; methods; pi evaluation;
                 quadratically converging algorithms",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  treatment =    "T Theoretical or Mathematical",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1986:NAS
author: David Borwein and Jonathan M. Borwein
title: A Note on Alternating Series in Several Dimensions
journal: j-AMER-MATH-MONTHLY
volume: 93
number: 7
pages: 531--539
month: aug
monthnumber: 8
year: 1986
CODEN: AMMYAE
DOI: https://doi.org/10.2307/2323026
ISSN: 0002-9890 (print), 1930-0972 (electronic) OR 00029890 (print), 19300972 (electronic)
ISSNL: 0002-9890 OR 00029890
MRclass: 40B05 (40A05)
MRnumber: 856292, 87j:40008
MRreviewer: F. M{\'o}ricz
bibdate: Wed Aug 10 11:09:47 2016
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://docserver.carma.newcastle.edu.au/1610/
fjournal: American Mathematical Monthly
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://www.jstor.org/journals/00029890.html
rawauthor: David Borwein and Jonathan M. Borwein
rawtitle: A Note on Alternating Series in Several Dimensions
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Borwein:1986:NAS,
  author =       "David Borwein and Jonathan M. Borwein",
  title =        "A Note on Alternating Series in Several Dimensions",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "93",
  number =       "7",
  pages =        "531--539",
  month =        aug # "\slash " # sep,
  year =         "1986",
  CODEN =        "AMMYAE",
  DOI =          "https://doi.org/10.2307/2323026",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRclass =      "40B05 (40A05)",
  MRnumber =     "856292, 87j:40008",
  MRreviewer =   "F. M{\'o}ricz",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "http://www.jstor.org/journals/00029890.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1610/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/journals/00029890.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1986:NDC
author: J. M. Borwein
title: Norm duality for convex processes and applications
journal: j-J-OPT-THEORY-APPL
volume: 48
number: 1
pages: 53--64
year: 1986
CODEN: JOTABN
DOI: https://doi.org/10.1007/BF00938589
ISSN: 0022-3239 (print), 1573-2878 (electronic) OR 00223239 (print), 15732878 (electronic)
ISSNL: 0022-3239 OR 00223239
MRclass: 90C25 (46N05)
MRnumber: 825384
MRreviewer: Lionel Thibault
bibdate: Thu Aug 11 09:36:22 MDT 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 09:36:22 MDT
note: Fourth symposium on nonlinear programming with data perturbations.
URL: http://docserver.carma.newcastle.edu.au/1613/; http://link.springer.com/article/10.1007/BF00938589
fjournal: Journal of Optimization Theory and Applications
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://link.springer.com/journal/volumesAndIssues/10957
rawauthor: J. M. Borwein
rawnote: Fourth symposium on nonlinear programming with data perturbations.
rawtitle: Norm duality for convex processes and applications
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Borwein:1986:NDC,
  author =       "J. M. Borwein",
  title =        "Norm duality for convex processes and applications",
  journal =      j-J-OPT-THEORY-APPL,
  volume =       "48",
  number =       "1",
  pages =        "53--64",
  year =         "1986",
  CODEN =        "JOTABN",
  DOI =          "https://doi.org/10.1007/BF00938589",
  ISSN =         "0022-3239 (print), 1573-2878 (electronic)",
  ISSN-L =       "0022-3239",
  MRclass =      "90C25 (46N05)",
  MRnumber =     "825384",
  MRreviewer =   "Lionel Thibault",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Fourth symposium on nonlinear programming with data
                 perturbations.",
  URL =          "http://docserver.carma.newcastle.edu.au/1613/;
                 http://link.springer.com/article/10.1007/BF00938589",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Optimization Theory and Applications",
  journal-URL =  "http://link.springer.com/journal/volumesAndIssues/10957",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1986:PAB
author: J. M. Borwein and H. M. Strojwas
title: Proximal analysis and boundaries of closed sets in Banach space. I. Theory
journal: j-CAN-J-MATH
volume: 38
number: 2
pages: 431--452
year: 1986
CODEN: CJMAAB
DOI: https://doi.org/10.4153/CJM-1986-022-4
ISSN: 0008-414X (print), 1496-4279 (electronic) OR 0008414X (print), 14964279 (electronic)
ISSNL: 0008-414X OR 0008414X
MRclass: 90C48 (46B10 49A50 58C20)
MRnumber: 833578
MRreviewer: Bruce D. Craven
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://docserver.carma.newcastle.edu.au/1611/
fjournal: Canadian Journal of Mathematics. Journal Canadien de Mathematiques
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://cms.math.ca/cjm/
rawauthor: J. M. Borwein and H. M. Str{\'o}jwas
rawtitle: Proximal analysis and boundaries of closed sets in {Banach} space. {I}. {Theory}
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Borwein:1986:PAB,
  author =       "J. M. Borwein and H. M. Str{\'o}jwas",
  title =        "Proximal analysis and boundaries of closed sets in
                 {Banach} space. {I}. {Theory}",
  journal =      j-CAN-J-MATH,
  volume =       "38",
  number =       "2",
  pages =        "431--452",
  year =         "1986",
  CODEN =        "CJMAAB",
  DOI =          "https://doi.org/10.4153/CJM-1986-022-4",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  MRclass =      "90C48 (46B10 49A50 58C20)",
  MRnumber =     "833578",
  MRreviewer =   "Bruce D. Craven",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1611/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Canadian Journal of Mathematics. Journal Canadien de
                 Math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1986:PMO
author: J. M. Borwein
journal: j-ISRAEL-J-MATH
volume: 54
number: 1
pages: 42--50
year: 1986
CODEN: ISJMAP
DOI: https://doi.org/10.1007/BF02764875
ISSN: 0021-2172 (print), 1565-8511 (electronic) OR 00212172 (print), 15658511 (electronic)
ISSNL: 0021-2172 OR 00212172
MRclass: 90C48 (47H05 49A51 58C20)
MRnumber: 852468
MRreviewer: Jean-Paul Penot
bibdate: Thu Aug 11 09:36:22 MDT 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 09:36:22 MDT
URL: http://docserver.carma.newcastle.edu.au/1605/; http://link.springer.com/article/10.1007/BF02764875
fjournal: Israel Journal of Mathematics
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://link.springer.com/journal/11856
rawauthor: J. M. Borwein
ORCID: Borwein, Jonathan/0000-0002-1263-0646
title:
Partially monotone operators and the generic differentiability of convex-concave and biconvex mappings

rawtitle:
Partially monotone operators and the generic differentiability of convex-concave and biconvex mappings

entry:
@Article{Borwein:1986:PMO,
  author =       "J. M. Borwein",
  title =        "Partially monotone operators and the generic
                 differentiability of convex-concave and biconvex
                 mappings",
  journal =      j-ISRAEL-J-MATH,
  volume =       "54",
  number =       "1",
  pages =        "42--50",
  year =         "1986",
  CODEN =        "ISJMAP",
  DOI =          "https://doi.org/10.1007/BF02764875",
  ISSN =         "0021-2172 (print), 1565-8511 (electronic)",
  ISSN-L =       "0021-2172",
  MRclass =      "90C48 (47H05 49A51 58C20)",
  MRnumber =     "852468",
  MRreviewer =   "Jean-Paul Penot",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1605/;
                 http://link.springer.com/article/10.1007/BF02764875",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Israel Journal of Mathematics",
  journal-URL =  "http://link.springer.com/journal/11856",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1986:PSS
author: Jon Borwein and William A. Newcomb
title: Problems and Solutions: Solutions of Advanced Problems: 6491
journal: j-AMER-MATH-MONTHLY
volume: 93
number: 10
pages: 822--823
year: 1986
CODEN: AMMYAE
DOI: https://doi.org/10.2307/2322952
ISSN: 0002-9890 (print), 1930-0972 (electronic) OR 00029890 (print), 19300972 (electronic)
ISSNL: 0002-9890 OR 00029890
MRnumber: 1541009
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
fjournal: American Mathematical Monthly
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://www.jstor.org/journals/00029890.html
rawauthor: Jon Borwein and William A. Newcomb
rawtitle: Problems and Solutions: Solutions of Advanced Problems: 6491
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Borwein:1986:PSS,
  author =       "Jon Borwein and William A. Newcomb",
  title =        "Problems and Solutions: Solutions of Advanced
                 Problems: 6491",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "93",
  number =       "10",
  pages =        "822--823",
  year =         "1986",
  CODEN =        "AMMYAE",
  DOI =          "https://doi.org/10.2307/2322952",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRnumber =     "1541009",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/journals/00029890.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1986:SCQ
author: J. M. Borwein and H. Wolkowicz
title: A simple constraint qualification in infinite-dimensional programming
journal: j-MATH-PROG
volume: 35
number: 1
pages: 83--96
year: 1986
CODEN: MHPGA4
DOI: https://doi.org/10.1007/BF01589443
ISSN: 0025-5610 (print), 1436-4646 (electronic) OR 00255610 (print), 14364646 (electronic)
ISSNL: 0025-5610 OR 00255610
MRclass: 90C48
MRnumber: 842636
MRreviewer: W. W. Breckner
bibdate: Thu Aug 11 09:36:22 MDT 2016
bibtimestamp: 2016.08.11 09:36:22 MDT
URL: http://docserver.carma.newcastle.edu.au/1606/; http://link.springer.com/article/10.1007/BF01589443
fjournal: Mathematical Programming
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://link.springer.com/journal/10107
rawauthor: J. M. Borwein and H. Wolkowicz
rawtitle: A simple constraint qualification in infinite-dimensional programming
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Borwein:1986:SCQ,
  author =       "J. M. Borwein and H. Wolkowicz",
  title =        "A simple constraint qualification in
                 infinite-dimensional programming",
  journal =      j-MATH-PROG,
  volume =       "35",
  number =       "1",
  pages =        "83--96",
  year =         "1986",
  CODEN =        "MHPGA4",
  DOI =          "https://doi.org/10.1007/BF01589443",
  ISSN =         "0025-5610 (print), 1436-4646 (electronic)",
  ISSN-L =       "0025-5610",
  MRclass =      "90C48",
  MRnumber =     "842636",
  MRreviewer =   "W. W. Breckner",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1606/;
                 http://link.springer.com/article/10.1007/BF01589443",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Mathematical Programming",
  journal-URL =  "http://link.springer.com/journal/10107",
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}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1986:SRP
author: J. M. Borwein
title: Stability and regular points of inequality systems
journal: j-J-OPT-THEORY-APPL
volume: 48
number: 1
pages: 9--52
year: 1986
CODEN: JOTABN
DOI: https://doi.org/10.1007/BF00938588
ISSN: 0022-3239 (print), 1573-2878 (electronic) OR 00223239 (print), 15732878 (electronic)
ISSNL: 0022-3239 OR 00223239
MRclass: 58C20 (46N05 90C30 90C48)
MRnumber: 825383
MRreviewer: Lionel Thibault
bibdate: Thu Aug 11 09:36:22 MDT 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 09:36:22 MDT
note: Fourth symposium on nonlinear programming with data perturbations.
URL: http://docserver.carma.newcastle.edu.au/1612/; http://link.springer.com/article/10.1007/BF00938588
fjournal: Journal of Optimization Theory and Applications
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://link.springer.com/journal/volumesAndIssues/10957
rawauthor: J. M. Borwein
rawnote: Fourth symposium on nonlinear programming with data perturbations.
rawtitle: Stability and regular points of inequality systems
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Borwein:1986:SRP,
  author =       "J. M. Borwein",
  title =        "Stability and regular points of inequality systems",
  journal =      j-J-OPT-THEORY-APPL,
  volume =       "48",
  number =       "1",
  pages =        "9--52",
  year =         "1986",
  CODEN =        "JOTABN",
  DOI =          "https://doi.org/10.1007/BF00938588",
  ISSN =         "0022-3239 (print), 1573-2878 (electronic)",
  ISSN-L =       "0022-3239",
  MRclass =      "58C20 (46N05 90C30 90C48)",
  MRnumber =     "825383",
  MRreviewer =   "Lionel Thibault",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Fourth symposium on nonlinear programming with data
                 perturbations.",
  URL =          "http://docserver.carma.newcastle.edu.au/1612/;
                 http://link.springer.com/article/10.1007/BF00938588",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Optimization Theory and Applications",
  journal-URL =  "http://link.springer.com/journal/volumesAndIssues/10957",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1987:ACO
author: J. M. Borwein
title: Automatic continuity and openness of convex relations
journal: j-PROC-AM-MATH-SOC
volume: 99
number: 1
pages: 49--55
month: jan
monthnumber: 1
year: 1987
CODEN: PAMYAR
DOI: https://doi.org/10.2307/2046269
ISSN: 0002-9939 (print), 1088-6826 (electronic) OR 00029939 (print), 10886826 (electronic)
ISSNL: 0002-9939 OR 00029939
MRclass: 46A55 (47H99)
MRnumber: 866428
MRreviewer: Robert T. Vescan
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://docserver.carma.newcastle.edu.au/1604/; http://www.jstor.org/stable/2046269
fjournal: Proceedings of the American Mathematical Society
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://www.ams.org/journals/proc
rawauthor: J. M. Borwein
rawtitle: Automatic continuity and openness of convex relations
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Borwein:1987:ACO,
  author =       "J. M. Borwein",
  title =        "Automatic continuity and openness of convex
                 relations",
  journal =      j-PROC-AM-MATH-SOC,
  volume =       "99",
  number =       "1",
  pages =        "49--55",
  month =        jan,
  year =         "1987",
  CODEN =        "PAMYAR",
  DOI =          "https://doi.org/10.2307/2046269",
  ISSN =         "0002-9939 (print), 1088-6826 (electronic)",
  ISSN-L =       "0002-9939",
  MRclass =      "46A55 (47H99)",
  MRnumber =     "866428",
  MRreviewer =   "Robert T. Vescan",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1604/;
                 http://www.jstor.org/stable/2046269",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Proceedings of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/proc",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: inproceedings
filename: borwein-jonathan-m.bib
label: Borwein:1987:CCM
author: J. M. Borwein
booktitle: Recent Advances and Historical Development of Vector Optimization
title: Convex Cones, Minimality Notions, and Consequences
publisher: pub-SV
address: pub-SV:adr
pages: ??--??
year: 1987
DOI: https://doi.org/10.1007/978-3-642-46618-2_3
bibdate: Thu Aug 11 09:36:22 MDT 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 09:36:22 MDT
URL: http://link.springer.com/chapter/10.1007/978-3-642-46618-2_3
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: J. M. Borwein
rawbooktitle: {Recent Advances and Historical Development of Vector Optimization}
rawtitle: Convex Cones, Minimality Notions, and Consequences
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@InProceedings{Borwein:1987:CCM,
  author =       "J. M. Borwein",
  booktitle =    "{Recent Advances and Historical Development of Vector
                 Optimization}",
  title =        "Convex Cones, Minimality Notions, and Consequences",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "??--??",
  year =         "1987",
  DOI =          "https://doi.org/10.1007/978-3-642-46618-2_3",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://link.springer.com/chapter/10.1007/978-3-642-46618-2_3",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: incollection
filename: borwein-jonathan-m.bib
label: Borwein:1987:CMN
author: J. M. Borwein
booktitle: Recent Advances and Historic Development of Vector Optimization
title: Cones, minimality notions and consequences
publisher: pub-SV
address: pub-SV:adr
pages: 62--85
year: 1987
bibdate: Mon Aug 15 15:09:27 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.15 15:09:27 ???
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: J. M. Borwein
rawbooktitle: Recent Advances and Historic Development of Vector Optimization
rawtitle: Cones, minimality notions and consequences
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@InCollection{Borwein:1987:CMN,
  author =       "J. M. Borwein",
  booktitle =    "Recent Advances and Historic Development of Vector
                 Optimization",
  title =        "Cones, minimality notions and consequences",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "62--85",
  year =         "1987",
  bibdate =      "Mon Aug 15 15:09:27 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1987:DRF
author: J. M. Borwein and S. P. Fitzpatrick and J. R. Giles
title: The differentiability of real functions on normed linear space using generalized subgradients
journal: j-J-MATH-ANAL-APPL
volume: 128
number: 2
pages: 512--534
year: 1987
CODEN: JMANAK
DOI: https://doi.org/10.1016/0022-247X(87)90203-4
ISSN: 0022-247X (print), 1096-0813 (electronic) OR 0022247X (print), 10960813 (electronic)
ISSNL: 0022-247X OR 0022247X
MRclass: 58C20 (26E15 46G05 49A52 90C48)
MRnumber: 917385
MRreviewer: W. W. Breckner
bibdate: Thu Aug 11 10:27:38 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 10:27:38 ???
fjournal: Journal of Mathematical Analysis and Applications
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://www.sciencedirect.com/science/journal/0022247X
rawauthor: J. M. Borwein and S. P. Fitzpatrick and J. R. Giles
rawtitle: The differentiability of real functions on normed linear space using generalized subgradients
ORCID: Borwein, Jonathan/0000-0002-1263-0646
URL:
http://docserver.carma.newcastle.edu.au/1598/; http://www.sciencedirect.com/science/article/pii/0022247X87902034

abstract:
The modification of the Clarke generalized subdifferential due to Michel and Penot is a useful tool in determining differentiability properties for certain classes of real functions on a normed linear space. The Gateaux differentiability of any real function can be deduced from the Gateaux differentiability of the norm if the function has a directional derivative which attains a constant related to its generalized directional derivative. For any distance function on a space with uniformly Gateaux differentiable norm, the Clarke and Michel-Penot generalized subdifferentials at points off the set reduce to the same object and this generates a continuity characterization for Gateaux differentiability. However, on a Banach space with rotund dual, the Frechet differentiability of a distance function implies that it is a convex function. A mean value theorem for the modified generalized subdifferential has implications for Gateaux differentiability.

rawabstract:
The modification of the Clarke generalized subdifferential due to Michel and Penot is a useful tool in determining differentiability properties for certain classes of real functions on a normed linear space. The G{\^a}teaux differentiability of any real function can be deduced from the G{\^a}teaux differentiability of the norm if the function has a directional derivative which attains a constant related to its generalized directional derivative. For any distance function on a space with uniformly G{\^a}teaux differentiable norm, the Clarke and Michel-Penot generalized subdifferentials at points off the set reduce to the same object and this generates a continuity characterization for G{\^a}teaux differentiability. However, on a Banach space with rotund dual, the Fr{\'e}chet differentiability of a distance function implies that it is a convex function. A mean value theorem for the modified generalized subdifferential has implications for G{\^a}teaux differentiability.

entry:
@Article{Borwein:1987:DRF,
  author =       "J. M. Borwein and S. P. Fitzpatrick and J. R. Giles",
  title =        "The differentiability of real functions on normed
                 linear space using generalized subgradients",
  journal =      j-J-MATH-ANAL-APPL,
  volume =       "128",
  number =       "2",
  pages =        "512--534",
  year =         "1987",
  CODEN =        "JMANAK",
  DOI =          "https://doi.org/10.1016/0022-247X(87)90203-4",
  ISSN =         "0022-247X (print), 1096-0813 (electronic)",
  ISSN-L =       "0022-247X",
  MRclass =      "58C20 (26E15 46G05 49A52 90C48)",
  MRnumber =     "917385",
  MRreviewer =   "W. W. Breckner",
  bibdate =      "Thu Aug 11 10:27:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1598/;
                 http://www.sciencedirect.com/science/article/pii/0022247X87902034",
  abstract =     "The modification of the Clarke generalized
                 subdifferential due to Michel and Penot is a useful
                 tool in determining differentiability properties for
                 certain classes of real functions on a normed linear
                 space. The G{\^a}teaux differentiability of any real
                 function can be deduced from the G{\^a}teaux
                 differentiability of the norm if the function has a
                 directional derivative which attains a constant related
                 to its generalized directional derivative. For any
                 distance function on a space with uniformly G{\^a}teaux
                 differentiable norm, the Clarke and Michel-Penot
                 generalized subdifferentials at points off the set
                 reduce to the same object and this generates a
                 continuity characterization for G{\^a}teaux
                 differentiability. However, on a Banach space with
                 rotund dual, the Fr{\'e}chet differentiability of a
                 distance function implies that it is a convex function.
                 A mean value theorem for the modified generalized
                 subdifferential has implications for G{\^a}teaux
                 differentiability.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Mathematical Analysis and Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/0022247X",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: techreport
filename: borwein-jonathan-m.bib
label: Borwein:1987:EIE
author: J. M. Borwein and I. J. Zucker
title: Elliptic Integral Evaluation of the Gamma Function at Values with Small Rational Denominators
type: Report
address: Halifax, NS B3H 3J5, Canada and London WC2, UK
pages: 13
day: 2
month: sep
monthnumber: 9
year: 1987
bibdate: Fri Nov 11 06:50:29 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.11.11 06:50:29 ???
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: J. M. Borwein and I. J. Zucker
rawtitle: Elliptic Integral Evaluation of the Gamma Function at Values with Small Rational Denominators
ORCID: Borwein, Jonathan/0000-0002-1263-0646
institution:
Department of Mathematics, Statistics and Computing Science, Dalhousie University and Department of Physics, King's College

abstract:
We produce simplified evaluations of certain complete elliptic integrals in terms of Gamma and Beta functions. We also provide explicit quadratically convergent recursions for quantities including $ Gamma (n / 4) $ and $ Gamma (n / 6) $.

rawabstract:
We produce simplified evaluations of certain complete elliptic integrals in terms of Gamma and Beta functions. We also provide explicit quadratically convergent recursions for quantities including $ \Gamma (n / 4) $ and $ \Gamma (n / 6) $.

entry:
@TechReport{Borwein:1987:EIE,
  author =       "J. M. Borwein and I. J. Zucker",
  title =        "Elliptic Integral Evaluation of the Gamma Function at
                 Values with Small Rational Denominators",
  type =         "Report",
  institution =  "Department of Mathematics, Statistics and Computing
                 Science, Dalhousie University and Department of
                 Physics, King's College",
  address =      "Halifax, NS B3H 3J5, Canada and London WC2, UK",
  pages =        "13",
  day =          "2",
  month =        sep,
  year =         "1987",
  bibdate =      "Fri Nov 11 06:50:29 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  abstract =     "We produce simplified evaluations of certain complete
                 elliptic integrals in terms of Gamma and Beta
                 functions. We also provide explicit quadratically
                 convergent recursions for quantities including $ \Gamma
                 (n / 4) $ and $ \Gamma (n / 6) $.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1987:ELL
author: Jonathan Michael Borwein
title: Epi-Lipschitz-like sets in Banach space: theorems and examples
journal: j-NONLINEAR-ANAL
volume: 11
number: 10
pages: 1207--1217
year: 1987
CODEN: NOANDD
DOI: https://doi.org/10.1016/0362-546X(87)90008-3
ISSN: 0362-546x (print), 1873-5215 (electronic) OR 0362546x (print), 18735215 (electronic)
ISSNL: 0362-546X OR 0362546X
MRclass: 90C48 (46G99 58C20 90C25)
MRnumber: 913679
MRreviewer: J. E. Spingarn
bibdate: Thu Aug 11 10:27:38 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 10:27:38 ???
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: https://www.sciencedirect.com/journal/nonlinear-analysis
rawauthor: Jonathan Michael Borwein
rawtitle: Epi-{Lipschitz}-like sets in {Banach} space: theorems and examples
ORCID: Borwein, Jonathan/0000-0002-1263-0646
URL:
http://docserver.carma.newcastle.edu.au/1599/; http://www.sciencedirect.com/science/article/pii/0362546X87900083

fjournal:
Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal. Series A: Theory and Methods

keywords:
differential inclusions; epi-Lipschitz-like sets; Lipschitz-like functions; locally compact subgradients; non-support points; Nonsmooth analysis; normal cones

entry:
@Article{Borwein:1987:ELL,
  author =       "Jonathan Michael Borwein",
  title =        "Epi-{Lipschitz}-like sets in {Banach} space: theorems
                 and examples",
  journal =      j-NONLINEAR-ANAL,
  volume =       "11",
  number =       "10",
  pages =        "1207--1217",
  year =         "1987",
  CODEN =        "NOANDD",
  DOI =          "https://doi.org/10.1016/0362-546X(87)90008-3",
  ISSN =         "0362-546x (print), 1873-5215 (electronic)",
  ISSN-L =       "0362-546X",
  MRclass =      "90C48 (46G99 58C20 90C25)",
  MRnumber =     "913679",
  MRreviewer =   "J. E. Spingarn",
  bibdate =      "Thu Aug 11 10:27:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1599/;
                 http://www.sciencedirect.com/science/article/pii/0362546X87900083",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Nonlinear Analysis. Theory, Methods \& Applications.
                 An International Multidisciplinary Journal. Series A:
                 Theory and Methods",
  journal-URL =  "https://www.sciencedirect.com/journal/nonlinear-analysis",
  keywords =     "differential inclusions; epi-Lipschitz-like sets;
                 Lipschitz-like functions; locally compact subgradients;
                 non-support points; Nonsmooth analysis; normal cones",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1987:ERT
author: J. M. Borwein and P. B. Borwein
title: Explicit Ramanujan-type approximations to pi of high order
journal: Proceedings of the Indian Academy of Sciences --- Mathematical Sciences
volume: 97
number: 1--3
pages: 53--59
year: 1987
DOI: https://doi.org/10.1007/BF02837813
ISSN: 0253-4142 (print), 0973-7685 (electronic) OR 02534142 (print), 09737685 (electronic)
ISSNL: 0253-4142 OR 02534142
MRclass: 11Y60
MRnumber: 983604
MRreviewer: D. H. Lehmer
bibdate: Thu Aug 11 09:36:22 MDT 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 09:36:22 MDT
note: Centennial issue.
URL: http://link.springer.com/article/10.1007/BF02837813
fjournal: Indian Academy of Sciences. Proceedings. Mathematical Sciences
acknowledgement: ack-nhfb
ajournal: Proc. Indian Acad. Sci. Math. Sci.
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: J. M. Borwein and P. B. Borwein
rawnote: Centennial issue.
rawtitle: Explicit {Ramanujan}-type approximations to pi of high order
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Borwein:1987:ERT,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "Explicit {Ramanujan}-type approximations to pi of high
                 order",
  journal =      "Proceedings of the Indian Academy of Sciences ---
                 Mathematical Sciences",
  volume =       "97",
  number =       "1--3",
  pages =        "53--59",
  year =         "1987",
  DOI =          "https://doi.org/10.1007/BF02837813",
  ISSN =         "0253-4142 (print), 0973-7685 (electronic)",
  ISSN-L =       "0253-4142",
  MRclass =      "11Y60",
  MRnumber =     "983604",
  MRreviewer =   "D. H. Lehmer",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Centennial issue.",
  URL =          "http://link.springer.com/article/10.1007/BF02837813",
  acknowledgement = ack-nhfb,
  ajournal =     "Proc. Indian Acad. Sci. Math. Sci.",
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Indian Academy of Sciences. Proceedings. Mathematical
                 Sciences",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  xxyear =       "1988",
}


bibtype: techreport
filename: borwein-jonathan-m.bib
label: Borwein:1987:ESE
author: D. Borwein and J. M. Borwein and R. Shail and I. J. Zucker
title: Energy of Static Electron Lattices
type: Report
pages: 20
day: 11
month: sep
monthnumber: 9
year: 1987
bibdate: Fri Nov 11 06:54:37 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.11.11 06:54:37 ???
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: D. Borwein and J. M. Borwein and R. Shail and I. J. Zucker
rawtitle: Energy of Static Electron Lattices
ORCID: Borwein, Jonathan/0000-0002-1263-0646
institution:
University of Western Ontario and Department of Mathematics, Statistics and Computing Science, Dalhousie University and University of Surrey and University of Surrey

address:
London, ON N6A 3K7, Canada and Halifax, NS B3H 3J5, Canada and Guildford, UK GU2 5XH and Guildford, UK GU2 5XH

abstract:
A new approach to evaluating the static lattice energy of any given Wigner lattice is proposed. The method is much simpler than the traditional one and the results are much faster to evaluate. The new approach is applied to two-dimensional triangular lattices where it is shown that the triangular lattice is more stable than the square lattice. Three dimensional hexagonal lattices are also investigated. In addition, we have placed many of our considerations on a rigorous mathematical footing.

remark:
Date recorded in ambiguous form 11/9/87; entry Borwein:1988:CCJ has 31/12/88, suggesting that the first number is the day.

rawabstract:
A new approach to evaluating the static lattice energy of any given Wigner lattice is proposed. The method is much simpler than the traditional one and the results are much faster to evaluate. The new approach is applied to two-dimensional triangular lattices where it is shown that the triangular lattice is more stable than the square lattice. Three dimensional hexagonal lattices are also investigated. In addition, we have placed many of our considerations on a rigorous mathematical footing.

entry:
@TechReport{Borwein:1987:ESE,
  author =       "D. Borwein and J. M. Borwein and R. Shail and I. J.
                 Zucker",
  title =        "Energy of Static Electron Lattices",
  type =         "Report",
  institution =  "University of Western Ontario and Department of
                 Mathematics, Statistics and Computing Science,
                 Dalhousie University and University of Surrey and
                 University of Surrey",
  address =      "London, ON N6A 3K7, Canada and Halifax, NS B3H 3J5,
                 Canada and Guildford, UK GU2 5XH and Guildford, UK GU2
                 5XH",
  pages =        "20",
  day =          "11",
  month =        sep,
  year =         "1987",
  bibdate =      "Fri Nov 11 06:54:37 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  abstract =     "A new approach to evaluating the static lattice energy
                 of any given Wigner lattice is proposed. The method is
                 much simpler than the traditional one and the results
                 are much faster to evaluate. The new approach is
                 applied to two-dimensional triangular lattices where it
                 is shown that the triangular lattice is more stable
                 than the square lattice. Three dimensional hexagonal
                 lattices are also investigated. In addition, we have
                 placed many of our considerations on a rigorous
                 mathematical footing.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "Date recorded in ambiguous form 11/9/87; entry
                 Borwein:1988:CCJ has 31/12/88, suggesting that the
                 first number is the day.",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1987:PAB
author: J. M. Borwein and H. M. Strojwas
title: Proximal analysis and boundaries of closed sets in Banach space. II. Applications
journal: j-CAN-J-MATH
volume: 39
number: 2
pages: 428--472
year: 1987
CODEN: CJMAAB
DOI: https://doi.org/10.4153/CJM-1987-019-4
ISSN: 0008-414X (print), 1496-4279 (electronic) OR 0008414X (print), 14964279 (electronic)
ISSNL: 0008-414X OR 0008414X
MRclass: 46B20 (41A65 90C48)
MRnumber: 899844
MRreviewer: Bruce D. Craven
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://docserver.carma.newcastle.edu.au/1600/
fjournal: Canadian Journal of Mathematics. Journal Canadien de Mathematiques
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://cms.math.ca/cjm/
rawauthor: J. M. Borwein and H. M. Str{\'o}jwas
rawtitle: Proximal analysis and boundaries of closed sets in {Banach} space. {II}. {Applications}
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Borwein:1987:PAB,
  author =       "J. M. Borwein and H. M. Str{\'o}jwas",
  title =        "Proximal analysis and boundaries of closed sets in
                 {Banach} space. {II}. {Applications}",
  journal =      j-CAN-J-MATH,
  volume =       "39",
  number =       "2",
  pages =        "428--472",
  year =         "1987",
  CODEN =        "CJMAAB",
  DOI =          "https://doi.org/10.4153/CJM-1987-019-4",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  MRclass =      "46B20 (41A65 90C48)",
  MRnumber =     "899844",
  MRreviewer =   "Bruce D. Craven",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1600/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Canadian Journal of Mathematics. Journal Canadien de
                 Math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: book
filename: borwein-jonathan-m.bib
label: Borwein:1987:PAS
author: Jonathan M. Borwein and Peter B. Borwein
title: Pi and the AGM: a Study in Analytic Number Theory and Computational Complexity
publisher: pub-WILEY
address: pub-WILEY:adr
pages: xv + 414
year: 1987
ISBN: 0-471-83138-7, 0-471-31515-X (paperback) OR 0471831387, 047131515X (paperback)
ISBN13: 978-0-471-83138-9, 978-0-471-31515-5 (paperback) OR 9780471831389, 9780471315155 (paperback)
LCCN: QA241 .B774 1987
MRclass: 11Y60 (68Q30)
MRnumber: 877728
MRreviewer: H. London
bibdate: Wed Aug 10 11:09:47 2016
bibtimestamp: 2016.08.10 11:09:47 ???
remark: Chinese edition 1995.
subject: Number theory; Computational complexity; Elliptic functions; Pi
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Jonathan M. Borwein and Peter B. Borwein
rawtitle: Pi and the {AGM}: a Study in Analytic Number Theory and Computational Complexity
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/subjects/acc-stab-num-alg.bib; z3950.loc.gov:7090/Voyager

series:
Canadian Mathematical Society series of monographs and advanced texts = Monographies et etudes de la Societe mathematique du Canada

abstract:
Critical Acclaim for Pi and the AGM: ``Fortunately we have the Borwein's beautiful book ldots explores in the first five chapters the glorious world so dear to Ramanujan ldots would be a marvelous text book for a graduate course.'' --- Bulletin of the American Mathematical Society ``What am I to say about this quilt of a book? One is reminded of Debussy who, on being asked by his harmony teacher to explain what rules he was following as he improvised at the piano, replied, ``Mon plaisir.'' The authors are cultured mathematicians. They have selected what has amused and intrigued them in the hope that it will do the same for us. Frankly, I cannot think of a more provocative and generous recipe for writing a book ldots (it) is cleanly, even beautifully written, and attractively printed and composed. The book is unique. I cannot think of any other book in print which contains more than a smidgen of the material these authors have included. --- SIAM Review ``If this subject begins to sound more interesting than it did in the last newspaper article on 130 million digits of Pi, I have partly succeeded. To succeed completely I will have gotten you interested enough to read the delightful and important book by the Borweins.'' --- American Mathematical Monthly ``The authors are to be commended for their careful presentation of much of the content of Ramanujan's famous paper, 'Modular Equations and Approximations to Pi'. This material has not heretofore appeared in book form. However, more importantly, Ramanujan provided no proofs for many of the claims that he made, and so the authors provided many of the missing details ldots The Borweins, indeed have helped us find the right roads.'' --- Mathematics of Computation

TOC:
Complete Elliptic Integrals and the Arithmetic-Geometric Mean Iteration Theta Functions and the Arithmetic-Geometric Mean Iteration Jacobi's Triple-Product and Some Number Theoretic Applications Higher Order Transformations Modular Equations and Algebraic Approximations to $pi $ The Complexity of Algebraic Functions Algorithms for the Elementary Functions General Means and Iterations Some Additional Applications Other Approaches to the Elementary Functions Pi Bibliography Symbol List Index

rawabstract:
Critical Acclaim for Pi and the AGM: ``Fortunately we have the Borwein's beautiful book \ldots{} explores in the first five chapters the glorious world so dear to Ramanujan \ldots{} would be a marvelous text book for a graduate course.'' --- Bulletin of the American Mathematical Society \\ ``What am I to say about this quilt of a book? One is reminded of Debussy who, on being asked by his harmony teacher to explain what rules he was following as he improvised at the piano, replied, ``Mon plaisir.'' The authors are cultured mathematicians. They have selected what has amused and intrigued them in the hope that it will do the same for us. Frankly, I cannot think of a more provocative and generous recipe for writing a book \ldots{} (it) is cleanly, even beautifully written, and attractively printed and composed. The book is unique. I cannot think of any other book in print which contains more than a smidgen of the material these authors have included. --- SIAM Review \\ ``If this subject begins to sound more interesting than it did in the last newspaper article on 130 million digits of Pi, I have partly succeeded. To succeed completely I will have gotten you interested enough to read the delightful and important book by the Borweins.'' --- American Mathematical Monthly \\ ``The authors are to be commended for their careful presentation of much of the content of Ramanujan's famous paper, 'Modular Equations and Approximations to Pi'. This material has not heretofore appeared in book form. However, more importantly, Ramanujan provided no proofs for many of the claims that he made, and so the authors provided many of the missing details \ldots{} The Borweins, indeed have helped us find the right roads.'' --- Mathematics of Computation

rawTOC:
Complete Elliptic Integrals and the Arithmetic-Geometric Mean Iteration \\ Theta Functions and the Arithmetic-Geometric Mean Iteration \\ Jacobi's Triple-Product and Some Number Theoretic Applications \\ Higher Order Transformations \\ Modular Equations and Algebraic Approximations to $\pi$ \\ The Complexity of Algebraic Functions \\ Algorithms for the Elementary Functions \\ General Means and Iterations \\ Some Additional Applications \\ Other Approaches to the Elementary Functions \\ Pi \\ Bibliography \\ Symbol List \\ Index

entry:
@Book{Borwein:1987:PAS,
  author =       "Jonathan M. Borwein and Peter B. Borwein",
  title =        "Pi and the {AGM}: a Study in Analytic Number Theory
                 and Computational Complexity",
  publisher =    pub-WILEY,
  address =      pub-WILEY:adr,
  pages =        "xv + 414",
  year =         "1987",
  ISBN =         "0-471-83138-7, 0-471-31515-X (paperback)",
  ISBN-13 =      "978-0-471-83138-9, 978-0-471-31515-5 (paperback)",
  LCCN =         "QA241 .B774 1987",
  MRclass =      "11Y60 (68Q30)",
  MRnumber =     "877728",
  MRreviewer =   "H. London",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Canadian Mathematical Society series of monographs and
                 advanced texts = Monographies et {\'e}tudes de la
                 Soci{\'e}t{\'e} math{\'e}matique du Canada",
  abstract =     "Critical Acclaim for Pi and the AGM: ``Fortunately we
                 have the Borwein's beautiful book \ldots{} explores in
                 the first five chapters the glorious world so dear to
                 Ramanujan \ldots{} would be a marvelous text book for a
                 graduate course.'' --- Bulletin of the American
                 Mathematical Society \\
                 ``What am I to say about this quilt of a book? One is
                 reminded of Debussy who, on being asked by his harmony
                 teacher to explain what rules he was following as he
                 improvised at the piano, replied, ``Mon plaisir.'' The
                 authors are cultured mathematicians. They have selected
                 what has amused and intrigued them in the hope that it
                 will do the same for us. Frankly, I cannot think of a
                 more provocative and generous recipe for writing a book
                 \ldots{} (it) is cleanly, even beautifully written, and
                 attractively printed and composed. The book is unique.
                 I cannot think of any other book in print which
                 contains more than a smidgen of the material these
                 authors have included. --- SIAM Review \\
                 ``If this subject begins to sound more interesting than
                 it did in the last newspaper article on 130 million
                 digits of Pi, I have partly succeeded. To succeed
                 completely I will have gotten you interested enough to
                 read the delightful and important book by the
                 Borweins.'' --- American Mathematical Monthly \\
                 ``The authors are to be commended for their careful
                 presentation of much of the content of Ramanujan's
                 famous paper, 'Modular Equations and Approximations to
                 Pi'. This material has not heretofore appeared in book
                 form. However, more importantly, Ramanujan provided no
                 proofs for many of the claims that he made, and so the
                 authors provided many of the missing details \ldots{}
                 The Borweins, indeed have helped us find the right
                 roads.'' --- Mathematics of Computation",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "Chinese edition 1995.",
  subject =      "Number theory; Computational complexity; Elliptic
                 functions; Pi",
  tableofcontents = "Complete Elliptic Integrals and the
                 Arithmetic-Geometric Mean Iteration \\
                 Theta Functions and the Arithmetic-Geometric Mean
                 Iteration \\
                 Jacobi's Triple-Product and Some Number Theoretic
                 Applications \\
                 Higher Order Transformations \\
                 Modular Equations and Algebraic Approximations to $\pi$
                 \\
                 The Complexity of Algebraic Functions \\
                 Algorithms for the Elementary Functions \\
                 General Means and Iterations \\
                 Some Additional Applications \\
                 Other Approaches to the Elementary Functions \\
                 Pi \\
                 Bibliography \\
                 Symbol List \\
                 Index",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1987:PNF
author: J. M. Borwein and J. R. Giles
title: The proximal normal formula in Banach space
journal: j-TRANS-AM-MATH-SOC
volume: 302
number: 1
pages: 371--381
year: 1987
CODEN: TAMTAM
DOI: https://doi.org/10.2307/2000915
ISSN: 0002-9947 (print), 1088-6850 (electronic) OR 00029947 (print), 10886850 (electronic)
ISSNL: 0002-9947 OR 00029947
MRclass: 49A52 (46B20 46G05)
MRnumber: 887515
MRreviewer: Gianfranco Bottaro
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://docserver.carma.newcastle.edu.au/1602/
fjournal: Transactions of the American Mathematical Society
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://www.ams.org/journals/tran/
rawauthor: J. M. Borwein and J. R. Giles
rawtitle: The proximal normal formula in {Banach} space
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Borwein:1987:PNF,
  author =       "J. M. Borwein and J. R. Giles",
  title =        "The proximal normal formula in {Banach} space",
  journal =      j-TRANS-AM-MATH-SOC,
  volume =       "302",
  number =       "1",
  pages =        "371--381",
  year =         "1987",
  CODEN =        "TAMTAM",
  DOI =          "https://doi.org/10.2307/2000915",
  ISSN =         "0002-9947 (print), 1088-6850 (electronic)",
  ISSN-L =       "0002-9947",
  MRclass =      "49A52 (46B20 46G05)",
  MRnumber =     "887515",
  MRreviewer =   "Gianfranco Bottaro",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1602/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Transactions of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/tran/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1987:RRA
author: J. M. Borwein and P. B. Borwein
title: Ramanujan's rational and algebraic series for $ 1 / pi $
journal: J. Indian Math. Soc. (N.S.)
volume: 51
pages: 147--160 (1988)
year: 1987
CODEN: JIMTA2
ISSN: 0019-5839 OR 00195839
ISSNL: 0019-5839 OR 00195839
MRclass: 11Y60 (33A30)
MRnumber: 988313
MRreviewer: Herman J. J. te Riele
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
note: Ramanujan Centennial issue.
fjournal: The Journal of the Indian Mathematical Society. New Series
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://www.indianmathsociety.org.in/jims.htm
rawauthor: J. M. Borwein and P. B. Borwein
rawnote: Ramanujan Centennial issue.
rawtitle: {Ramanujan}'s rational and algebraic series for $ 1 / \pi $
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Borwein:1987:RRA,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "{Ramanujan}'s rational and algebraic series for $ 1 /
                 \pi $",
  journal =      "J. Indian Math. Soc. (N.S.)",
  volume =       "51",
  pages =        "147--160 (1988)",
  year =         "1987",
  CODEN =        "JIMTA2",
  ISSN =         "0019-5839",
  ISSN-L =       "0019-5839",
  MRclass =      "11Y60 (33A30)",
  MRnumber =     "988313",
  MRreviewer =   "Herman J. J. te Riele",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Ramanujan Centennial issue.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "The Journal of the Indian Mathematical Society. New
                 Series",
  journal-URL =  "http://www.indianmathsociety.org.in/jims.htm",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1987:SVPa
author: Jonathan M. Borwein and David Preiss
journal: j-TRANS-AM-MATH-SOC
volume: 303
number: 2
pages: 517--527
month: oct
monthnumber: 10
year: 1987
CODEN: TAMTAM
DOI: https://doi.org/10.2307/2000681
ISSN: 0002-9947 (print), 1088-6850 (electronic) OR 00029947 (print), 10886850 (electronic)
ISSNL: 0002-9947 OR 00029947
MRclass: 49A27 (46B20 46G05 49A51 49A52 58C20 90C25 90C48)
MRnumber: 902782
MRreviewer: B. Mordukhovich
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://docserver.carma.newcastle.edu.au/1597/; http://www.jstor.org/stable/2000681
fjournal: Transactions of the American Mathematical Society
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://www.ams.org/journals/tran/
rawauthor: Jonathan M. Borwein and David Preiss
ORCID: Borwein, Jonathan/0000-0002-1263-0646
title:
A smooth variational principle with applications to subdifferentiability and to differentiability of convex functions

remark:
According to cite Thera:2016:HSH, this paper is the first published em smooth variational principle.

rawtitle:
A smooth variational principle with applications to subdifferentiability and to differentiability of convex functions

entry:
@Article{Borwein:1987:SVPa,
  author =       "Jonathan M. Borwein and David Preiss",
  title =        "A smooth variational principle with applications to
                 subdifferentiability and to differentiability of convex
                 functions",
  journal =      j-TRANS-AM-MATH-SOC,
  volume =       "303",
  number =       "2",
  pages =        "517--527",
  month =        oct,
  year =         "1987",
  CODEN =        "TAMTAM",
  DOI =          "https://doi.org/10.2307/2000681",
  ISSN =         "0002-9947 (print), 1088-6850 (electronic)",
  ISSN-L =       "0002-9947",
  MRclass =      "49A27 (46B20 46G05 49A51 49A52 58C20 90C25 90C48)",
  MRnumber =     "902782",
  MRreviewer =   "B. Mordukhovich",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1597/;
                 http://www.jstor.org/stable/2000681",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Transactions of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/tran/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "According to \cite{Thera:2016:HSH}, this paper is the
                 first published {\em smooth variational principle}.",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1987:UPW
author: J. M. Borwein and P. B. Borwein
title: Unsolved Problems: The Way of All Means
journal: j-AMER-MATH-MONTHLY
volume: 94
number: 6
pages: 519--522
month: jun
monthnumber: 6
year: 1987
CODEN: AMMYAE
DOI: https://doi.org/10.2307/2322842
ISSN: 0002-9890 (print), 1930-0972 (electronic) OR 00029890 (print), 19300972 (electronic)
ISSNL: 0002-9890 OR 00029890
MRnumber: 1541118
bibdate: Wed Aug 10 11:09:47 2016
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://www.jstor.org/stable/2322842
fjournal: American Mathematical Monthly
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://www.jstor.org/journals/00029890.html
rawauthor: J. M. Borwein and P. B. Borwein
rawtitle: Unsolved Problems: The Way of All Means
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Borwein:1987:UPW,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "Unsolved Problems: The Way of All Means",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "94",
  number =       "6",
  pages =        "519--522",
  month =        jun # "\slash " # jul,
  year =         "1987",
  CODEN =        "AMMYAE",
  DOI =          "https://doi.org/10.2307/2322842",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRnumber =     "1541118",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "http://www.jstor.org/journals/00029890.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
  URL =          "http://www.jstor.org/stable/2322842",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/journals/00029890.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Schoenberg:1987:APS
author: I. J. Schoenberg and Peter B. Borwein
title: Advanced Problems and Solutions: Solutions: 6501
journal: j-AMER-MATH-MONTHLY
volume: 94
number: 4
pages: 390--390
month: apr
monthnumber: 4
year: 1987
CODEN: AMMYAE
DOI: https://doi.org/10.2307/2323115
ISSN: 0002-9890 (print), 1930-0972 (electronic) OR 00029890 (print), 19300972 (electronic)
ISSNL: 0002-9890 OR 00029890
bibdate: Wed Aug 10 11:09:47 2016
bibtimestamp: 2016.08.10 11:09:47 ???
note: See also cite Schoenberg:1985:PSA.
fjournal: American Mathematical Monthly
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: https://www.jstor.org/journals/00029890.htm
rawauthor: I. J. Schoenberg and Peter B. Borwein
rawnote: See also \cite{Schoenberg:1985:PSA}.
rawtitle: Advanced Problems and Solutions: Solutions: 6501
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Schoenberg:1987:APS,
  author =       "I. J. Schoenberg and Peter B. Borwein",
  title =        "Advanced Problems and Solutions: Solutions: 6501",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "94",
  number =       "4",
  pages =        "390--390",
  month =        apr,
  year =         "1987",
  CODEN =        "AMMYAE",
  DOI =          "https://doi.org/10.2307/2323115",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "http://www.jstor.org/journals/00029890.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
  note =         "See also \cite{Schoenberg:1985:PSA}.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "https://www.jstor.org/journals/00029890.htm",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Ward:1987:NCF
author: D. E. Ward and J. M. Borwein
title: Nonsmooth Calculus in Finite Dimensions
journal: j-SIAM-J-CONTROL-OPTIM
volume: 25
number: 5
pages: 1312--1340
month: sep
monthnumber: 9
year: 1987
CODEN: SJCODC
DOI: https://doi.org/10.1137/0325072
ISSN: 0363-0129 (print), 1095-7138 (electronic) OR 03630129 (print), 10957138 (electronic)
ISSNL: 0363-0129 OR 03630129
MRclass: 58C20 (46G05 49A52 90C48)
MRnumber: 905047, 88m:58011
MRreviewer: A. B. N{\'e}meth
bibdate: Wed Aug 10 11:09:47 2016
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://docserver.carma.newcastle.edu.au/1601/
fjournal: SIAM Journal on Control and Optimization
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://epubs.siam.org/sicon
journalabr: SIAM J Control Optim
onlinedate: September 1987
rawauthor: D. E. Ward and J. M. Borwein
rawtitle: Nonsmooth Calculus in Finite Dimensions
ORCID: Borwein, Jonathan/0000-0002-1263-0646
bibsource:
http://epubs.siam.org/sam-bin/dbq/toclist/SICON/25/5; https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; https://www.math.utah.edu/pub/tex/bib/siamjcontroloptim.bib

entry:
@Article{Ward:1987:NCF,
  author =       "D. E. Ward and J. M. Borwein",
  title =        "Nonsmooth Calculus in Finite Dimensions",
  journal =      j-SIAM-J-CONTROL-OPTIM,
  volume =       "25",
  number =       "5",
  pages =        "1312--1340",
  month =        sep,
  year =         "1987",
  CODEN =        "SJCODC",
  DOI =          "https://doi.org/10.1137/0325072",
  ISSN =         "0363-0129 (print), 1095-7138 (electronic)",
  ISSN-L =       "0363-0129",
  MRclass =      "58C20 (46G05 49A52 90C48)",
  MRnumber =     "905047, 88m:58011",
  MRreviewer =   "A. B. N{\'e}meth",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toclist/SICON/25/5;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjcontroloptim.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1601/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "SIAM Journal on Control and Optimization",
  journal-URL =  "http://epubs.siam.org/sicon",
  journalabr =   "SIAM J Control Optim",
  onlinedate =   "September 1987",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Barzilai:1988:TPS
author: Jonathan Barzilai and Jonathan M. Borwein
title: Two-Point Step Size Gradient Methods
journal: j-IMA-J-NUMER-ANAL
volume: 8
number: 1
pages: 141--148
year: 1988
CODEN: IJNADH
DOI: https://doi.org/10.1093/imanum/8.1.141
ISSN: 0272-4979 (print), 1464-3642 (electronic) OR 02724979 (print), 14643642 (electronic)
ISSNL: 0272-4979 OR 02724979
MRclass: 65K05
MRnumber: 967848, 90h:65113
bibdate: Wed Aug 10 11:09:47 2016
bibtimestamp: 2016.08.10 11:09:47 ???
fjournal: IMA Journal of Numerical Analysis
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://imajna.oxfordjournals.org/content/by/year
rawauthor: Jonathan Barzilai and Jonathan M. Borwein
rawtitle: Two-Point Step Size Gradient Methods
ORCID: Borwein, Jonathan/0000-0002-1263-0646
bibsource:
http://docserver.carma.newcastle.edu.au/1596/1/barzilai-borwein-ocr.pdf; https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib; MathSciNet database

remark:
According to cite Thera:2016:HSH, Google Scholar says that this paper has been cited more than 1300 times [checked: 1378 times as of 02 January 2017]. Received 24 September 1986 and in revised form 14 April 1987.

entry:
@Article{Barzilai:1988:TPS,
  author =       "Jonathan Barzilai and Jonathan M. Borwein",
  title =        "Two-Point Step Size Gradient Methods",
  journal =      j-IMA-J-NUMER-ANAL,
  volume =       "8",
  number =       "1",
  pages =        "141--148",
  year =         "1988",
  CODEN =        "IJNADH",
  DOI =          "https://doi.org/10.1093/imanum/8.1.141",
  ISSN =         "0272-4979 (print), 1464-3642 (electronic)",
  ISSN-L =       "0272-4979",
  MRclass =      "65K05",
  MRnumber =     "967848, 90h:65113",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "http://docserver.carma.newcastle.edu.au/1596/1/barzilai-borwein-ocr.pdf;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "IMA Journal of Numerical Analysis",
  journal-URL =  "http://imajna.oxfordjournals.org/content/by/year",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "According to \cite{Thera:2016:HSH}, Google Scholar
                 says that this paper has been cited more than 1300
                 times [checked: 1378 times as of 02 January 2017].
                 Received 24 September 1986 and in revised form 14 April
                 1987.",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Ben-Tal:1988:DAM
author: A. Ben-Tal and J. M. Borwein and M. Teboulle
title: A dual approach to multidimensional $ L_p $ spectral estimation problems
journal: j-SIAM-J-CONTROL-OPTIM
volume: 26
number: 4
pages: 985--996
year: 1988
CODEN: SJCODE
DOI: https://doi.org/10.1137/0326053
ISSN: 0363-0129 (print), 1095-7138 (electronic) OR 03630129 (print), 10957138 (electronic)
ISSNL: 0363-0129 OR 03630129
MRclass: 49A55 (42A05 49D29 90C25 94A11)
MRnumber: 948654
MRreviewer: Krzysztof C. Kiwiel
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
fjournal: SIAM Journal on Control and Optimization
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://epubs.siam.org/sicon
rawauthor: A. Ben-Tal and J. M. Borwein and M. Teboulle
rawtitle: A dual approach to multidimensional {$ L_p $} spectral estimation problems
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Ben-Tal:1988:DAM,
  author =       "A. Ben-Tal and J. M. Borwein and M. Teboulle",
  title =        "A dual approach to multidimensional {$ L_p $} spectral
                 estimation problems",
  journal =      j-SIAM-J-CONTROL-OPTIM,
  volume =       "26",
  number =       "4",
  pages =        "985--996",
  year =         "1988",
  CODEN =        "SJCODE",
  DOI =          "https://doi.org/10.1137/0326053",
  ISSN =         "0363-0129 (print), 1095-7138 (electronic)",
  ISSN-L =       "0363-0129",
  MRclass =      "49A55 (42A05 49D29 90C25 94A11)",
  MRnumber =     "948654",
  MRreviewer =   "Krzysztof C. Kiwiel",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "SIAM Journal on Control and Optimization",
  journal-URL =  "http://epubs.siam.org/sicon",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: book
filename: borwein-jonathan-m.bib
label: Borowski:1988:DM
author: E. J. (Ephraim J.) Borowski and Jonathan M. Borwein
title: Dictionary of mathematics
publisher: pub-COLLINS
address: pub-COLLINS:adr
pages: xi + 659
year: 1988
ISBN: 0-00-434347-6 (paperback) OR 0004343476 (paperback)
ISBN13: 978-0-00-434347-1 (paperback) OR 9780004343471 (paperback)
LCCN: QA5
bibdate: Mon Oct 23 07:36:34 MDT 2017
bibtimestamp: 2017.10.23 07:36:34 MDT
note: With contributions by J. F. Bowers.
subject: Mathematics; Dictionaries
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: E. J. (Ephraim J.) Borowski and Jonathan M. Borwein
rawnote: With contributions by J. F. Bowers.
rawtitle: Dictionary of mathematics
ORCID: Borwein, Jonathan/0000-0002-1263-0646
bibsource:
fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib

entry:
@Book{Borowski:1988:DM,
  author =       "E. J. (Ephraim J.) Borowski and Jonathan M. Borwein",
  title =        "Dictionary of mathematics",
  publisher =    pub-COLLINS,
  address =      pub-COLLINS:adr,
  pages =        "xi + 659",
  year =         "1988",
  ISBN =         "0-00-434347-6 (paperback)",
  ISBN-13 =      "978-0-00-434347-1 (paperback)",
  LCCN =         "QA5",
  bibdate =      "Mon Oct 23 07:36:34 MDT 2017",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "With contributions by J. F. Bowers.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject =      "Mathematics; Dictionaries",
}


bibtype: techreport
filename: borwein-jonathan-m.bib
label: Borwein:1988:CCJ
author: J. M. Borwein and P. B. Borwein
title: A Cubic Counterpart of Jacobi's Identity and the AGM
type: Report
institution: Department of Mathematics, Statistics and Computing Science, Dalhousie University
address: Halifax, NS B3H 3J5, Canada
pages: 20
day: 31
month: dec
monthnumber: 12
year: 1988
bibdate: Fri Nov 11 07:03:04 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.11.11 07:03:04 ???
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: J. M. Borwein and P. B. Borwein
rawtitle: A Cubic Counterpart of {Jacobi}'s Identity and the {AGM}
ORCID: Borwein, Jonathan/0000-0002-1263-0646
abstract:
We produce cubic analogues of Jacobi's celebrated theta function identity and of the arithmetic--geometric mean iteration of Gauss and Legendre. The iteration in question is $ a_n + 1 = (a_n + 2 b_n) / 3 $ and $ b_n + 1 = sqrt [3]b_n((a_n^2 + a_n b_n + b_n^2) / 3) $. The limit of this iteration is identified in terms of the hypergeometric function $_2 F_1 (1 / 3, 2 / 3; 1; cdot )$ which supports a particularly simple cubic transformation.

keywords:
$pi $; arithmetic--geometric mean (AGM); cubic transformations; generalised elliptic functions; hypergeometric functions; mean iterations; theta functions

rawabstract:
We produce cubic analogues of Jacobi's celebrated theta function identity and of the arithmetic--geometric mean iteration of Gauss and Legendre. The iteration in question is $ a_{n + 1} = (a_n + 2 b_n) / 3 $ and $ b_{n + 1} = \sqrt [3]{b_n((a_n^2 + a_n b_n + b_n^2) / 3)} $. The limit of this iteration is identified in terms of the hypergeometric function $_2 F_1 (1 / 3, 2 / 3; 1; \cdot)$ which supports a particularly simple cubic transformation.

entry:
@TechReport{Borwein:1988:CCJ,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "A Cubic Counterpart of {Jacobi}'s Identity and the
                 {AGM}",
  type =         "Report",
  institution =  "Department of Mathematics, Statistics and Computing
                 Science, Dalhousie University",
  address =      "Halifax, NS B3H 3J5, Canada",
  pages =        "20",
  day =          "31",
  month =        dec,
  year =         "1988",
  bibdate =      "Fri Nov 11 07:03:04 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  abstract =     "We produce cubic analogues of Jacobi's celebrated
                 theta function identity and of the
                 arithmetic--geometric mean iteration of Gauss and
                 Legendre. The iteration in question is $ a_{n + 1} =
                 (a_n + 2 b_n) / 3 $ and $ b_{n + 1} = \sqrt
                 [3]{b_n((a_n^2 + a_n b_n + b_n^2) / 3)} $. The limit of
                 this iteration is identified in terms of the
                 hypergeometric function $_2 F_1 (1 / 3, 2 / 3; 1;
                 \cdot)$ which supports a particularly simple cubic
                 transformation.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  keywords =     "$\pi$; arithmetic--geometric mean (AGM); cubic
                 transformations; generalised elliptic functions;
                 hypergeometric functions; mean iterations; theta
                 functions",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1988:CFF
author: J. M. Borwein and P. B. Borwein
title: On the Complexity of Familiar Functions and Numbers
journal: j-SIAM-REVIEW
volume: 30
number: 4
pages: 589--601
month: dec
monthnumber: 12
year: 1988
CODEN: SIREAD
DOI: https://doi.org/10.1137/1030134
ISSN: 0036-1445 (print), 1095-7200 (electronic) OR 00361445 (print), 10957200 (electronic)
ISSNL: 0036-1445 OR 00361445
MRclass: 68Q25 (03D15 11Y16)
MRnumber: 967961, 89k:68061
MRreviewer: Klaus W. Wagner
bibdate: Wed Aug 10 11:09:47 2016
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://docserver.carma.newcastle.edu.au/1593/; http://www.jstor.org/stable/2030559
fjournal: SIAM Review. A Publication of the Society for Industrial and Applied Mathematics
acknowledgement: ack-nhfb
affiliationaddress: Halifax, NS, Can
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://epubs.siam.org/sirev
journalabr: SIAM Rev
onlinedate: December 1988
rawauthor: J. M. Borwein and P. B. Borwein
rawtitle: On the Complexity of Familiar Functions and Numbers
ORCID: Borwein, Jonathan/0000-0002-1263-0646
bibsource:
ACM Computing Archive CD-ROM database (1991); Compendex database; http://epubs.siam.org/toc/siread/30/4; https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/siamreview.bib

abstract:
This paper examines low-complexity approximations to familiar functions and numbers. The intent is to suggest that it is possible to base a taxonomy of such functions and numbers on their computational complexity. A central theme is that traditional methods of approximation are often very far from optimal, while good or optimal methods are often very far from obvious. For most functions, provably optimal methods are not known; however the gap between what is known and what is possible is often small. A considerable number of open problems are posed and a number of related examples are presented.

keywords:
Algebraic Approximation; Approximation Theory; Computation of Digits; Familiar Functions; Low Complexity Approximation; Mathematical Techniques; Rational Approximation; Reduced Complexity Approximation

subject:
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY; F. Theory of Computation; F.1 COMPUTATION BY ABSTRACT DEVICES

rawabstract:
This paper examines low-complexity approximations to familiar functions and numbers. The intent is to suggest that it is possible to base a taxonomy of such functions and numbers on their computational complexity. A central theme is that traditional methods of approximation are often very far from optimal, while good or optimal methods are often very far from obvious. For most functions, provably optimal methods are not known; however the gap between what is known and what is possible is often small. A considerable number of open problems are posed and a number of related examples are presented.

entry:
@Article{Borwein:1988:CFF,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "On the Complexity of Familiar Functions and Numbers",
  journal =      j-SIAM-REVIEW,
  volume =       "30",
  number =       "4",
  pages =        "589--601",
  month =        dec,
  year =         "1988",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/1030134",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  MRclass =      "68Q25 (03D15 11Y16)",
  MRnumber =     "967961, 89k:68061",
  MRreviewer =   "Klaus W. Wagner",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 Compendex database;
                 http://epubs.siam.org/toc/siread/30/4;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1593/;
                 http://www.jstor.org/stable/2030559",
  abstract =     "This paper examines low-complexity approximations to
                 familiar functions and numbers. The intent is to
                 suggest that it is possible to base a taxonomy of such
                 functions and numbers on their computational
                 complexity. A central theme is that traditional methods
                 of approximation are often very far from optimal, while
                 good or optimal methods are often very far from
                 obvious. For most functions, provably optimal methods
                 are not known; however the gap between what is known
                 and what is possible is often small. A considerable
                 number of open problems are posed and a number of
                 related examples are presented.",
  acknowledgement = ack-nhfb,
  affiliationaddress = "Halifax, NS, Can",
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  bibno =        "58008",
  catcode =      "G.1.2; F.2.1; F.1.3",
  classification = "921",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation; F.2.1 Numerical Algorithms and Problems;
                 F.1.3 Complexity Classes",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Theory of Computation, ANALYSIS OF ALGORITHMS AND
                 PROBLEM COMPLEXITY, Numerical Algorithms and Problems;
                 Theory of Computation, COMPUTATION BY ABSTRACT DEVICES,
                 Complexity Classes",
  fjournal =     "SIAM Review. A Publication of the Society for
                 Industrial and Applied Mathematics",
  genterm =      "algorithms; theory; performance",
  guideno =      "1988-13907",
  journal-URL =  "http://epubs.siam.org/sirev",
  journalabbrev = "SIAM Rev.",
  journalabr =   "SIAM Rev",
  jrldate =      "Dec. 1988",
  keywords =     "Algebraic Approximation; Approximation Theory;
                 Computation of Digits; Familiar Functions; Low
                 Complexity Approximation; Mathematical Techniques;
                 Rational Approximation; Reduced Complexity
                 Approximation",
  onlinedate =   "December 1988",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS
                 AND PROBLEM COMPLEXITY; F. Theory of Computation; F.1
                 COMPUTATION BY ABSTRACT DEVICES",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1988:ESE
author: D. Borwein and J. M. Borwein and R. Shail and I. J. Zucker
title: Energy of static electron lattices
journal: j-J-PHYS-A
volume: 21
number: 7
pages: 1519--1531
month: apr
monthnumber: 4
year: 1988
CODEN: JPHAC5
DOI: https://doi.org/10.1088/0305-4470/21/7/015
ISSN: 0305-4470 (print), 1361-6447 (electronic) OR 03054470 (print), 13616447 (electronic)
ISSNL: 0305-4470 OR 03054470
MRclass: 82A65 (81H99)
MRnumber: 951042
bibdate: Thu Aug 11 07:19:54 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 07:19:54 ???
fjournal: Journal of Physics. A. Mathematical and General
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://iopscience.iop.org/1751-8121
rawauthor: D. Borwein and J. M. Borwein and R. Shail and I. J. Zucker
rawtitle: Energy of static electron lattices
ORCID: Borwein, Jonathan/0000-0002-1263-0646
URL:
http://adsabs.harvard.edu/abs/1988JPhA...21.1519B; http://docserver.carma.newcastle.edu.au/1592/; http://stacks.iop.org/0305-4470/21/1519; http://stacks.iop.org/0305-4470/21/i=7/a=015

entry:
@Article{Borwein:1988:ESE,
  author =       "D. Borwein and J. M. Borwein and R. Shail and I. J.
                 Zucker",
  title =        "Energy of static electron lattices",
  journal =      j-J-PHYS-A,
  volume =       "21",
  number =       "7",
  pages =        "1519--1531",
  month =        apr,
  year =         "1988",
  CODEN =        "JPHAC5",
  DOI =          "https://doi.org/10.1088/0305-4470/21/7/015",
  ISSN =         "0305-4470 (print), 1361-6447 (electronic)",
  ISSN-L =       "0305-4470",
  MRclass =      "82A65 (81H99)",
  MRnumber =     "951042",
  bibdate =      "Thu Aug 11 07:19:54 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://adsabs.harvard.edu/abs/1988JPhA...21.1519B;
                 http://docserver.carma.newcastle.edu.au/1592/;
                 http://stacks.iop.org/0305-4470/21/1519;
                 http://stacks.iop.org/0305-4470/21/i=7/a=015",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Physics. A. Mathematical and General",
  journal-URL =  "http://iopscience.iop.org/1751-8121",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: incollection
filename: borwein-jonathan-m.bib
label: Borwein:1988:MRT
author: J. M. Borwein and P. B. Borwein
title: More Ramanujan-type series for $ 1 / pi $
crossref: Andrews:1988:RRP
pages: 359--374
year: 1988
MRclass: 11Y60
MRnumber: 938974
MRreviewer: Duncan A. Buell
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: J. M. Borwein and P. B. Borwein
rawtitle: More {Ramanujan}-type series for $ 1 / \pi $
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@InCollection{Borwein:1988:MRT,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "More {Ramanujan}-type series for $ 1 / \pi $",
  crossref =     "Andrews:1988:RRP",
  pages =        "359--374",
  year =         "1988",
  MRclass =      "11Y60",
  MRnumber =     "938974",
  MRreviewer =   "Duncan A. Buell",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1988:RP
author: Jonathan M. Borwein and Peter B. Borwein
title: Ramanujan and Pi
journal: j-SCI-AMER
volume: 258
number: 2
pages: 112--117
month: feb
monthnumber: 2
year: 1988
CODEN: SCAMAC
DOI: https://doi.org/10.1038/scientificamerican0288-112
ISSN: 0036-8733 (print), 1946-7087 (electronic) OR 00368733 (print), 19467087 (electronic)
ISSNL: 0036-8733 OR 00368733
bibdate: Wed Aug 10 11:09:47 2016
bibtimestamp: 2016.08.10 11:09:47 ???
fjournal: Scientific American
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://www.nature.com/scientificamerican
rawauthor: Jonathan M. Borwein and Peter B. Borwein
rawtitle: {Ramanujan} and {Pi}
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/sciam1980.bib

note:
Japanese edition (April 1988), Russian edition (April 1988), German edition (May 1988). Reprinted in cite Borwein:1991:RP,Borwein:1996:SRZ,Borwein:2001:RP,Bailey:2016:PNG.

URL:
http://docserver.carma.newcastle.edu.au/1379/; http://www.nature.com/scientificamerican/journal/v258/n2/pdf/scientificamerican0288-112.pdf

rawnote:
Japanese edition (April 1988), Russian edition (April 1988), German edition (May 1988). Reprinted in \cite{Borwein:1991:RP,Borwein:1996:SRZ,Borwein:2001:RP,Bailey:2016:PNG}.

entry:
@Article{Borwein:1988:RP,
  author =       "Jonathan M. Borwein and Peter B. Borwein",
  title =        "{Ramanujan} and {Pi}",
  journal =      j-SCI-AMER,
  volume =       "258",
  number =       "2",
  pages =        "112--117",
  month =        feb,
  year =         "1988",
  CODEN =        "SCAMAC",
  DOI =          "https://doi.org/10.1038/scientificamerican0288-112",
  ISSN =         "0036-8733 (print), 1946-7087 (electronic)",
  ISSN-L =       "0036-8733",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/sciam1980.bib",
  note =         "Japanese edition (April 1988), Russian edition (April
                 1988), German edition (May 1988). Reprinted in
                 \cite{Borwein:1991:RP,Borwein:1996:SRZ,Borwein:2001:RP,Bailey:2016:PNG}.",
  URL =          "http://docserver.carma.newcastle.edu.au/1379/;
                 http://www.nature.com/scientificamerican/journal/v258/n2/pdf/scientificamerican0288-112.pdf",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Scientific American",
  journal-URL =  "http://www.nature.com/scientificamerican",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  xxnewdata =    "1998.01.30",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1988:VNS
author: J. M. Borwein and D. M. Zhuang
journal: j-J-MATH-ANAL-APPL
volume: 134
number: 2
pages: 441--459
year: 1988
CODEN: JMANAK
DOI: https://doi.org/10.1016/0022-247X(88)90034-0
ISSN: 0022-247X (print), 1096-0813 (electronic) OR 0022247X (print), 10960813 (electronic)
ISSNL: 0022-247X OR 0022247X
MRclass: 90C48 (54C60 58C20 90C25)
MRnumber: 961349
MRreviewer: Jean-Paul Penot
bibdate: Thu Aug 11 10:27:38 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 10:27:38 ???
fjournal: Journal of Mathematical Analysis and Applications
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://www.sciencedirect.com/science/journal/0022247X
rawauthor: J. M. Borwein and D. M. Zhuang
ORCID: Borwein, Jonathan/0000-0002-1263-0646
title:
Verifiable necessary and sufficient conditions for openness and regularity of set-valued and single-valued maps

URL:
http://docserver.carma.newcastle.edu.au/1594/; http://www.sciencedirect.com/science/article/pii/0022247X88900340

abstract:
We provide several equivalences to the regularity of closed set-valued maps around a point in general metric settings. In particular, an easy to verify approximate openness notion is shown equivalent to regularity. A simple specialization of our theorem strengthens Frankowska's novel ``open mapping principle.''

rawabstract:
We provide several equivalences to the regularity of closed set-valued maps around a point in general metric settings. In particular, an easy to verify approximate openness notion is shown equivalent to regularity. A simple specialization of our theorem strengthens Frankowska's novel ``open mapping principle.''

rawtitle:
Verifiable necessary and sufficient conditions for openness and regularity of set-valued and single-valued maps

entry:
@Article{Borwein:1988:VNS,
  author =       "J. M. Borwein and D. M. Zhuang",
  title =        "Verifiable necessary and sufficient conditions for
                 openness and regularity of set-valued and single-valued
                 maps",
  journal =      j-J-MATH-ANAL-APPL,
  volume =       "134",
  number =       "2",
  pages =        "441--459",
  year =         "1988",
  CODEN =        "JMANAK",
  DOI =          "https://doi.org/10.1016/0022-247X(88)90034-0",
  ISSN =         "0022-247X (print), 1096-0813 (electronic)",
  ISSN-L =       "0022-247X",
  MRclass =      "90C48 (54C60 58C20 90C25)",
  MRnumber =     "961349",
  MRreviewer =   "Jean-Paul Penot",
  bibdate =      "Thu Aug 11 10:27:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1594/;
                 http://www.sciencedirect.com/science/article/pii/0022247X88900340",
  abstract =     "We provide several equivalences to the regularity of
                 closed set-valued maps around a point in general metric
                 settings. In particular, an easy to verify approximate
                 openness notion is shown equivalent to regularity. A
                 simple specialization of our theorem strengthens
                 Frankowska's novel ``open mapping principle.''",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Mathematical Analysis and Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/0022247X",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Deutsch:1988:PSSa
author: Emeric Deutsch and Jonathan M. Borwein and Paul Cull and G. Behrendt
title: Problems and Solutions: Solutions of Elementary Problems: E3159
journal: j-AMER-MATH-MONTHLY
volume: 95
number: 6
pages: 557--558
month: jun
monthnumber: 6
year: 1988
CODEN: AMMYAE
DOI: https://doi.org/10.2307/2322769
ISSN: 0002-9890 (print), 1930-0972 (electronic) OR 00029890 (print), 19300972 (electronic)
ISSNL: 0002-9890 OR 00029890
MRnumber: 1541335
bibdate: Wed Aug 10 11:09:47 2016
bibtimestamp: 2016.08.10 11:09:47 ???
note: See also cite Deutsch:1986:PSE.
fjournal: American Mathematical Monthly
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://www.jstor.org/journals/00029890.html
rawauthor: Emeric Deutsch and Jonathan M. Borwein and Paul Cull and G. Behrendt
rawnote: See also \cite{Deutsch:1986:PSE}.
rawtitle: Problems and Solutions: Solutions of Elementary Problems: {E3159}
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Deutsch:1988:PSSa,
  author =       "Emeric Deutsch and Jonathan M. Borwein and Paul Cull
                 and G. Behrendt",
  title =        "Problems and Solutions: Solutions of Elementary
                 Problems: {E3159}",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "95",
  number =       "6",
  pages =        "557--558",
  month =        jun # "\slash " # jul,
  year =         "1988",
  CODEN =        "AMMYAE",
  DOI =          "https://doi.org/10.2307/2322769",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRnumber =     "1541335",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "http://www.jstor.org/journals/00029890.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
  note =         "See also \cite{Deutsch:1986:PSE}.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/journals/00029890.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1989:ACL
author: D. Borwein and J. M. Borwein and R. Shail
title: Analysis of certain lattice sums
journal: j-J-MATH-ANAL-APPL
volume: 143
number: 1
pages: 126--137
year: 1989
CODEN: JMANAK
DOI: https://doi.org/10.1016/0022-247X(89)90032-2
ISSN: 0022-247X (print), 1096-0813 (electronic) OR 0022247X (print), 10960813 (electronic)
ISSNL: 0022-247X OR 0022247X
MRclass: 82A67 (11M99)
MRnumber: 1019453
MRreviewer: A. K. Rajagopal
bibdate: Thu Aug 11 10:27:38 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 10:27:38 ???
fjournal: Journal of Mathematical Analysis and Applications
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://www.sciencedirect.com/science/journal/0022247X
rawauthor: D. Borwein and J. M. Borwein and R. Shail
rawtitle: Analysis of certain lattice sums
ORCID: Borwein, Jonathan/0000-0002-1263-0646
URL:
http://docserver.carma.newcastle.edu.au/1589/; http://www.sciencedirect.com/science/article/pii/0022247X89900322

entry:
@Article{Borwein:1989:ACL,
  author =       "D. Borwein and J. M. Borwein and R. Shail",
  title =        "Analysis of certain lattice sums",
  journal =      j-J-MATH-ANAL-APPL,
  volume =       "143",
  number =       "1",
  pages =        "126--137",
  year =         "1989",
  CODEN =        "JMANAK",
  DOI =          "https://doi.org/10.1016/0022-247X(89)90032-2",
  ISSN =         "0022-247X (print), 1096-0813 (electronic)",
  ISSN-L =       "0022-247X",
  MRclass =      "82A67 (11M99)",
  MRnumber =     "1019453",
  MRreviewer =   "A. K. Rajagopal",
  bibdate =      "Thu Aug 11 10:27:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1589/;
                 http://www.sciencedirect.com/science/article/pii/0022247X89900322",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Mathematical Analysis and Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/0022247X",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1989:ARM
author: J. M. Borwein and P. B. Borwein
title: Approximating $ pi $ with Ramanujan's modular equations
journal: j-ROCKY-MOUNTAIN-J-MATH
volume: 19
number: 1
pages: 93--102
year: 1989
CODEN: RMJMAE
DOI: https://doi.org/10.1216/RMJ-1989-19-1-93
ISSN: 0035-7596 (print), 1945-3795 (electronic) OR 00357596 (print), 19453795 (electronic)
ISSNL: 0035-7596 OR 00357596
MRclass: 11Y35 (11F11 33E05)
MRnumber: 1016163
MRreviewer: Bruce C. Berndt
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
note: Constructive Function Theory---86 Conference (Edmonton, AB, 1986).
fjournal: The Rocky Mountain Journal of Mathematics
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://projecteuclid.org/euclid.rmjm
rawauthor: J. M. Borwein and P. B. Borwein
rawnote: Constructive Function Theory---86 Conference (Edmonton, AB, 1986).
rawtitle: Approximating $ \pi $ with {Ramanujan}'s modular equations
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Borwein:1989:ARM,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "Approximating $ \pi $ with {Ramanujan}'s modular
                 equations",
  journal =      j-ROCKY-MOUNTAIN-J-MATH,
  volume =       "19",
  number =       "1",
  pages =        "93--102",
  year =         "1989",
  CODEN =        "RMJMAE",
  DOI =          "https://doi.org/10.1216/RMJ-1989-19-1-93",
  ISSN =         "0035-7596 (print), 1945-3795 (electronic)",
  ISSN-L =       "0035-7596",
  MRclass =      "11Y35 (11F11 33E05)",
  MRnumber =     "1016163",
  MRreviewer =   "Bruce C. Berndt",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Constructive Function Theory---86 Conference
                 (Edmonton, AB, 1986).",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "The Rocky Mountain Journal of Mathematics",
  journal-URL =  "http://projecteuclid.org/euclid.rmjm",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1989:ENP
author: Jonathan M. Borwein and Simon Fitzpatrick
title: Existence of nearest points in Banach spaces
journal: j-CAN-J-MATH
volume: 41
number: 4
pages: 702--720
year: 1989
CODEN: CJMAAB
DOI: https://doi.org/10.4153/CJM-1989-032-7
ISSN: 0008-414X (print), 1496-4279 (electronic) OR 0008414X (print), 14964279 (electronic)
ISSNL: 0008-414X OR 0008414X
MRclass: 46B20
MRnumber: 1012624
MRreviewer: Mari{\'a}n Fabian
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://docserver.carma.newcastle.edu.au/1582/
fjournal: Canadian Journal of Mathematics. Journal Canadien de Mathematiques
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://cms.math.ca/cjm/
rawauthor: Jonathan M. Borwein and Simon Fitzpatrick
rawtitle: Existence of nearest points in {Banach} spaces
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Borwein:1989:ENP,
  author =       "Jonathan M. Borwein and Simon Fitzpatrick",
  title =        "Existence of nearest points in {Banach} spaces",
  journal =      j-CAN-J-MATH,
  volume =       "41",
  number =       "4",
  pages =        "702--720",
  year =         "1989",
  CODEN =        "CJMAAB",
  DOI =          "https://doi.org/10.4153/CJM-1989-032-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  MRclass =      "46B20",
  MRnumber =     "1012624",
  MRreviewer =   "Mari{\'a}n Fabian",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1582/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Canadian Journal of Mathematics. Journal Canadien de
                 Math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1989:HC
author: J. M. Borwein and H. M. Strojwas
title: The hypertangent cone
journal: j-NONLINEAR-ANAL
volume: 13
number: 2
pages: 125--144
year: 1989
CODEN: NOANDD
DOI: https://doi.org/10.1016/0362-546X(89)90039-4
ISSN: 0362-546x (print), 1873-5215 (electronic) OR 0362546x (print), 18735215 (electronic)
ISSNL: 0362-546X OR 0362546X
MRclass: 90C30 (47H99 49A52)
MRnumber: 979036
MRreviewer: D{\cftil{o}} V{\u{a}}n Lu{\cprime}u
bibdate: Thu Aug 11 10:27:38 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 10:27:38 ???
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: https://www.sciencedirect.com/journal/nonlinear-analysis
rawauthor: J. M. Borwein and H. M. Str{\'o}jwas
rawtitle: The hypertangent cone
ORCID: Borwein, Jonathan/0000-0002-1263-0646
URL:
http://docserver.carma.newcastle.edu.au/1588/; http://www.sciencedirect.com/science/article/pii/0362546X89900394

fjournal:
Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal. Series A: Theory and Methods

keywords:
directional derivatives and subgradients; directionally Lipschitzian functions; Discrete tangent cone formulas; epi-Lipschitzian sets; inversion theorems; mean value theorems

entry:
@Article{Borwein:1989:HC,
  author =       "J. M. Borwein and H. M. Str{\'o}jwas",
  title =        "The hypertangent cone",
  journal =      j-NONLINEAR-ANAL,
  volume =       "13",
  number =       "2",
  pages =        "125--144",
  year =         "1989",
  CODEN =        "NOANDD",
  DOI =          "https://doi.org/10.1016/0362-546X(89)90039-4",
  ISSN =         "0362-546x (print), 1873-5215 (electronic)",
  ISSN-L =       "0362-546X",
  MRclass =      "90C30 (47H99 49A52)",
  MRnumber =     "979036",
  MRreviewer =   "D{\cftil{o}} V{\u{a}}n Lu{\cprime}u",
  bibdate =      "Thu Aug 11 10:27:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1588/;
                 http://www.sciencedirect.com/science/article/pii/0362546X89900394",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Nonlinear Analysis. Theory, Methods \& Applications.
                 An International Multidisciplinary Journal. Series A:
                 Theory and Methods",
  journal-URL =  "https://www.sciencedirect.com/journal/nonlinear-analysis",
  keywords =     "directional derivatives and subgradients;
                 directionally Lipschitzian functions; Discrete tangent
                 cone formulas; epi-Lipschitzian sets; inversion
                 theorems; mean value theorems",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1989:LBM
author: Jon Borwein and Simon Fitzpatrick
title: Local boundedness of monotone operators under minimal hypotheses
journal: j-BULL-AUSTRAL-MATH-SOC
volume: 39
number: 3
pages: 439--441
year: 1989
CODEN: ALNBAB
DOI: https://doi.org/10.1017/S000497270000335X
ISSN: 0004-9727 (print), 1755-1633 (electronic) OR 00049727 (print), 17551633 (electronic)
ISSNL: 0004-9727 OR 00049727
MRclass: 47H05
MRnumber: 995141
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://docserver.carma.newcastle.edu.au/1590/
fjournal: Bulletin of the Australian Mathematical Society
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://journals.cambridge.org/action/displayJournal?jid=BAZ
rawauthor: Jon Borwein and Simon Fitzpatrick
rawtitle: Local boundedness of monotone operators under minimal hypotheses
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Borwein:1989:LBM,
  author =       "Jon Borwein and Simon Fitzpatrick",
  title =        "Local boundedness of monotone operators under minimal
                 hypotheses",
  journal =      j-BULL-AUSTRAL-MATH-SOC,
  volume =       "39",
  number =       "3",
  pages =        "439--441",
  year =         "1989",
  CODEN =        "ALNBAB",
  DOI =          "https://doi.org/10.1017/S000497270000335X",
  ISSN =         "0004-9727 (print), 1755-1633 (electronic)",
  ISSN-L =       "0004-9727",
  MRclass =      "47H05",
  MRnumber =     "995141",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1590/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Bulletin of the Australian Mathematical Society",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=BAZ",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1989:LOC
author: J. M. Borwein and M. A. H. Dempster
title: The linear order complementarity problem
journal: j-MATH-OP-RES
volume: 14
number: 3
pages: 534--558
year: 1989
CODEN: MOREDQ
DOI: https://doi.org/10.1287/moor.14.3.534
ISSN: 0364-765x (print), 1526-5471 (electronic) OR 0364765x (print), 15265471 (electronic)
ISSNL: 0364-765X OR 0364765X
MRclass: 90C33 (47H99 90C48)
MRnumber: 1008428
MRreviewer: Morgan A. Hanson
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://docserver.carma.newcastle.edu.au/1585/
fjournal: Mathematics of Operations Research
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://pubsonline.informs.org/loi/moor
rawauthor: J. M. Borwein and M. A. H. Dempster
rawtitle: The linear order complementarity problem
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Borwein:1989:LOC,
  author =       "J. M. Borwein and M. A. H. Dempster",
  title =        "The linear order complementarity problem",
  journal =      j-MATH-OP-RES,
  volume =       "14",
  number =       "3",
  pages =        "534--558",
  year =         "1989",
  CODEN =        "MOREDQ",
  DOI =          "https://doi.org/10.1287/moor.14.3.534",
  ISSN =         "0364-765x (print), 1526-5471 (electronic)",
  ISSN-L =       "0364-765X",
  MRclass =      "90C33 (47H99 90C48)",
  MRnumber =     "1008428",
  MRreviewer =   "Morgan A. Hanson",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1585/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Mathematics of Operations Research",
  journal-URL =  "http://pubsonline.informs.org/loi/moor",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1989:MCK
author: Jonathan M. Borwein and Simon Fitzpatrick
title: Mosco convergence and the Kadec property
journal: j-PROC-AM-MATH-SOC
volume: 106
number: 3
pages: 843--851
year: 1989
CODEN: PAMYAR
DOI: https://doi.org/10.2307/2047444
ISSN: 0002-9939 (print), 1088-6826 (electronic) OR 00029939 (print), 10886826 (electronic)
ISSNL: 0002-9939 OR 00029939
MRclass: 46B20 (52A05 54C60)
MRnumber: 969313
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://docserver.carma.newcastle.edu.au/1584/
fjournal: Proceedings of the American Mathematical Society
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://www.ams.org/journals/proc
rawauthor: Jonathan M. Borwein and Simon Fitzpatrick
rawtitle: {Mosco} convergence and the {Kadec} property
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Borwein:1989:MCK,
  author =       "Jonathan M. Borwein and Simon Fitzpatrick",
  title =        "{Mosco} convergence and the {Kadec} property",
  journal =      j-PROC-AM-MATH-SOC,
  volume =       "106",
  number =       "3",
  pages =        "843--851",
  year =         "1989",
  CODEN =        "PAMYAR",
  DOI =          "https://doi.org/10.2307/2047444",
  ISSN =         "0002-9939 (print), 1088-6826 (electronic)",
  ISSN-L =       "0002-9939",
  MRclass =      "46B20 (52A05 54C60)",
  MRnumber =     "969313",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1584/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Proceedings of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/proc",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1989:MI
author: J. M. Borwein and P. B. Borwein
title: On the Mean Iteration $ (a, b) leftarrow big (frac a + 3b4, frac sqrt ab + b2 big ) $
journal: j-MATH-COMPUT
volume: 53
number: 187
pages: 311--326
month: jul
monthnumber: 7
year: 1989
CODEN: MCMPAF
DOI: https://doi.org/10.2307/2008364
ISSN: 0025-5718 (print), 1088-6842 (electronic) OR 00255718 (print), 10886842 (electronic)
ISSNL: 0025-5718 OR 00255718
MRclass: 30D05 (33A25)
MRnumber: 968148, 90a:30075
MRreviewer: Carl C. Cowen
bibdate: Wed Aug 10 11:09:47 2016
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://docserver.carma.newcastle.edu.au/1586/
fjournal: Mathematics of Computation
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
classcodes: C4130 (Interpolation and function approximation)
corpsource: Dept. of Math. Stat. and Comput. Sci., Dalhousie Univ., Halifax, NS, Canada
journalURL: http://www.ams.org/mcom/
treatment: T Theoretical or Mathematical
rawauthor: J. M. Borwein and P. B. Borwein
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/mathcomp1980.bib; JSTOR database

keywords:
computation; convergence of numerical methods; converging process; iterative methods; iterative process; limit; mean iteration; nontrivial identifications; quadratically; symbolic; uniformizing parameters

rawtitle:
On the Mean Iteration $ (a, b) \leftarrow \big (\frac {a + 3b}{4}, \frac {\sqrt {ab} + b}{2} \big) $

entry:
@Article{Borwein:1989:MI,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "On the Mean Iteration $ (a, b) \leftarrow \big (\frac
                 {a + 3b}{4}, \frac {\sqrt {ab} + b}{2} \big) $",
  journal =      j-MATH-COMPUT,
  volume =       "53",
  number =       "187",
  pages =        "311--326",
  month =        jul,
  year =         "1989",
  CODEN =        "MCMPAF",
  DOI =          "https://doi.org/10.2307/2008364",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "30D05 (33A25)",
  MRnumber =     "968148, 90a:30075",
  MRreviewer =   "Carl C. Cowen",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
                 JSTOR database",
  URL =          "http://docserver.carma.newcastle.edu.au/1586/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  classcodes =   "C4130 (Interpolation and function approximation)",
  corpsource =   "Dept. of Math. Stat. and Comput. Sci., Dalhousie
                 Univ., Halifax, NS, Canada",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "computation; convergence of numerical methods;
                 converging process; iterative methods; iterative
                 process; limit; mean iteration; nontrivial
                 identifications; quadratically; symbolic; uniformizing
                 parameters",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  treatment =    "T Theoretical or Mathematical",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1989:PEN
author: J. M. Borwein and P. B. Borwein and K. Dilcher
title: Pi, Euler numbers, and asymptotic expansions
journal: j-AMER-MATH-MONTHLY
volume: 96
number: 8
pages: 681--687
year: 1989
CODEN: AMMYAE
DOI: https://doi.org/10.2307/2324715
ISSN: 0002-9890 (print), 1930-0972 (electronic) OR 00029890 (print), 19300972 (electronic)
ISSNL: 0002-9890 OR 00029890
MRclass: 40A25 (11Y60 65B15)
MRnumber: 1019148
MRreviewer: Bruce C. Berndt
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://docserver.carma.newcastle.edu.au/1583/
fjournal: American Mathematical Monthly
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://www.jstor.org/journals/00029890.html
rawauthor: J. M. Borwein and P. B. Borwein and K. Dilcher
rawtitle: Pi, {Euler} numbers, and asymptotic expansions
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Borwein:1989:PEN,
  author =       "J. M. Borwein and P. B. Borwein and K. Dilcher",
  title =        "Pi, {Euler} numbers, and asymptotic expansions",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "96",
  number =       "8",
  pages =        "681--687",
  year =         "1989",
  CODEN =        "AMMYAE",
  DOI =          "https://doi.org/10.2307/2324715",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRclass =      "40A25 (11Y60 65B15)",
  MRnumber =     "1019148",
  MRreviewer =   "Bruce C. Berndt",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1583/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/journals/00029890.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1989:RME
author: J. M. Borwein and P. B. Borwein and D. H. Bailey
title: Ramanujan, modular equations, and approximations to pi, or How to compute one billion digits of pi
journal: j-AMER-MATH-MONTHLY
volume: 96
number: 3
pages: 201--219
month: mar
monthnumber: 3
year: 1989
CODEN: AMMYAE
DOI: https://doi.org/10.2307/2325206
ISSN: 0002-9890 (print), 1930-0972 (electronic) OR 00029890 (print), 19300972 (electronic)
ISSNL: 0002-9890 OR 00029890
MRclass: 11Y60 (01A60 11F03 33A25)
MRnumber: 991866
MRreviewer: Herman J. J. te Riele
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
note: Reprinted in cite Bailey:1997:RME.
fjournal: American Mathematical Monthly
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://www.jstor.org/journals/00029890.html
rawauthor: J. M. Borwein and P. B. Borwein and D. H. Bailey
rawnote: Reprinted in \cite{Bailey:1997:RME}.
ORCID: Bailey, David H./0000-0002-7574-8342; Borwein, Jonathan/0000-0002-1263-0646
URL:
http://docserver.carma.newcastle.edu.au/1587/; http://www.jstor.org/stable/2325206; https://web.archive.org/web/20170328083101

rawtitle:
{Ramanujan}, modular equations, and approximations to pi, or {How} to compute one billion digits of pi

entry:
@Article{Borwein:1989:RME,
  author =       "J. M. Borwein and P. B. Borwein and D. H. Bailey",
  title =        "{Ramanujan}, modular equations, and approximations to
                 pi, or {How} to compute one billion digits of pi",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "96",
  number =       "3",
  pages =        "201--219",
  month =        mar,
  year =         "1989",
  CODEN =        "AMMYAE",
  DOI =          "https://doi.org/10.2307/2325206",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRclass =      "11Y60 (01A60 11F03 33A25)",
  MRnumber =     "991866",
  MRreviewer =   "Herman J. J. te Riele",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "Reprinted in \cite{Bailey:1997:RME}.",
  URL =          "http://docserver.carma.newcastle.edu.au/1587/;
                 http://www.jstor.org/stable/2325206;
                 https://web.archive.org/web/20170328083101",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/journals/00029890.html",
  ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
                 Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Beer:1990:MCR
author: Gerald Beer and Jonathan M. Borwein
title: Mosco convergence and reflexivity
journal: j-PROC-AM-MATH-SOC
volume: 109
number: 2
pages: 427--436
year: 1990
CODEN: PAMYAR
DOI: https://doi.org/10.2307/2048005
ISSN: 0002-9939 (print), 1088-6826 (electronic) OR 00029939 (print), 10886826 (electronic)
ISSNL: 0002-9939 OR 00029939
MRclass: 46B10 (46B20 49J45 54B20 90C25)
MRnumber: 1012924
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://docserver.carma.newcastle.edu.au/1581/
fjournal: Proceedings of the American Mathematical Society
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://www.ams.org/journals/proc
rawauthor: Gerald Beer and Jonathan M. Borwein
rawtitle: {Mosco} convergence and reflexivity
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Beer:1990:MCR,
  author =       "Gerald Beer and Jonathan M. Borwein",
  title =        "{Mosco} convergence and reflexivity",
  journal =      j-PROC-AM-MATH-SOC,
  volume =       "109",
  number =       "2",
  pages =        "427--436",
  year =         "1990",
  CODEN =        "PAMYAR",
  DOI =          "https://doi.org/10.2307/2048005",
  ISSN =         "0002-9939 (print), 1088-6826 (electronic)",
  ISSN-L =       "0002-9939",
  MRclass =      "46B10 (46B20 49J45 54B20 90C25)",
  MRnumber =     "1012924",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1581/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Proceedings of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/proc",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1990:BRG
author: Jonathan Borwein
journal: j-SIAM-REVIEW
volume: 32
number: 4
pages: 689--690
month: dec
monthnumber: 12
year: 1990
CODEN: SIREAD
DOI: https://doi.org/10.1137/1032140
ISSN: 0036-1445 (print), 1095-7200 (electronic) OR 00361445 (print), 10957200 (electronic)
ISSNL: 0036-1445 OR 00361445
bibdate: Wed Aug 10 11:09:47 2016
bibtimestamp: 2016.08.10 11:09:47 ???
fjournal: SIAM Review
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://epubs.siam.org/sirev
onlinedate: December 1990
rawauthor: Jonathan Borwein
ORCID: Borwein, Jonathan/0000-0002-1263-0646
title:
Book Review: booktitle Generalized Concavity (Mordecai Avriel, Walter E. Diewert, Siegfried Schaible, and Israel Zang)

bibsource:
http://epubs.siam.org/toc/siread/32/4; https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; https://www.math.utah.edu/pub/tex/bib/siamreview.bib

rawtitle:
Book Review: {{\booktitle{Generalized Concavity}} (Mordecai Avriel, Walter E. Diewert, Siegfried Schaible, and Israel Zang)}

entry:
@Article{Borwein:1990:BRG,
  author =       "Jonathan Borwein",
  title =        "Book Review: {{\booktitle{Generalized Concavity}}
                 (Mordecai Avriel, Walter E. Diewert, Siegfried
                 Schaible, and Israel Zang)}",
  journal =      j-SIAM-REVIEW,
  volume =       "32",
  number =       "4",
  pages =        "689--690",
  month =        dec,
  year =         "1990",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/1032140",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "http://epubs.siam.org/toc/siread/32/4;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "December 1990",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: book
filename: borwein-jonathan-m.bib
label: Borwein:1990:DRN
author: Jonathan Borwein and Peter B. Borwein
title: A dictionary of real numbers
publisher: pub-WADSWORTH
address: pub-WADSWORTH:adr
pages: viii + 424
year: 1990
DOI: https://doi.org/10.1007/978-1-4615-8510-7
ISBN: 0-534-12840-8 OR 0534128408
ISBN13: 978-0-534-12840-1 OR 9780534128401
LCCN: QA47.B625 1990
MRclass: 11-00 (11Y60 11Y70)
MRnumber: 1030542, 91g:11001
MRreviewer: Jeffrey O. Shallit
bibdate: Wed Aug 10 11:09:47 2016
bibtimestamp: 2016.08.10 11:09:47 ???
keywords: Maple
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
reviewer: Jeffrey O. Shallit
rawauthor: Jonathan Borwein and Peter B. Borwein
rawtitle: A dictionary of real numbers
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/maple-extract.bib

abstract:
This dictionary was designed for researchers who have encountered various numbers computationally and want to know if these numbers have simple form. The book is structured as a reverse handbook of special function values. It lists over 100,000 eight digit real numbers in the interval (1,0) that arise as the first eight digits of special values of familiar functions.

rawabstract:
This dictionary was designed for researchers who have encountered various numbers computationally and want to know if these numbers have simple form. The book is structured as a reverse handbook of special function values. It lists over 100,000 eight digit real numbers in the interval (1,0) that arise as the first eight digits of special values of familiar functions.

entry:
@Book{Borwein:1990:DRN,
  author =       "Jonathan Borwein and Peter B. Borwein",
  title =        "A dictionary of real numbers",
  publisher =    pub-WADSWORTH,
  address =      pub-WADSWORTH:adr,
  pages =        "viii + 424",
  year =         "1990",
  DOI =          "https://doi.org/10.1007/978-1-4615-8510-7",
  ISBN =         "0-534-12840-8",
  ISBN-13 =      "978-0-534-12840-1",
  LCCN =         "QA47.B625 1990",
  MRclass =      "11-00 (11Y60 11Y70)",
  MRnumber =     "1030542, 91g:11001",
  MRreviewer =   "Jeffrey O. Shallit",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/maple-extract.bib",
  abstract =     "This dictionary was designed for researchers who have
                 encountered various numbers computationally and want to
                 know if these numbers have simple form. The book is
                 structured as a reverse handbook of special function
                 values. It lists over 100,000 eight digit real numbers
                 in the interval (1,0) that arise as the first eight
                 digits of special values of familiar functions.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  keywords =     "Maple",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  reviewer =     "Jeffrey O. Shallit",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1990:RCM
author: J. M. Borwein and P. B. Borwein
booktitle: Computational methods and function theory (Valparaiso, 1989)
title: A remarkable cubic mean iteration
journal: j-LECT-NOTES-MATH
volume: 1435
pages: 27--31
year: 1990
CODEN: LNMAA2
DOI: https://doi.org/10.1007/BFb0087894
ISBN: 3-540-52768-0 (print), 3-540-47139-1 (e-book) OR 3540527680 (print), 3540471391 (ebook)
ISSN: 0075-8434 (print), 1617-9692 (electronic) OR 00758434 (print), 16179692 (electronic)
ISSNL: 0075-8434 OR 00758434
MRclass: 33C05
MRnumber: 1071759 (92b:33003)
MRreviewer: W. H. J. Fuchs
bibdate: Wed Aug 10 11:09:47 2016
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://link.springer.com/chapter/10.1007/BFb0087894/
fjournal: Lecture Notes in Mathematics
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
bookDOI: https://doi.org/10.1007/BFb0087892
bookURL: http://www.springerlink.com/content/978-3-540-47139-4
journalURL: http://link.springer.com/bookseries/304
rawauthor: J. M. Borwein and P. B. Borwein
rawbooktitle: Computational methods and function theory ({Valpara}{\'\i}so, 1989)
rawtitle: A remarkable cubic mean iteration
ORCID: Borwein, Jonathan/0000-0002-1263-0646
ISBN13:
978-3-540-52768-8 (print), 978-3-540-47139-4 (e-book) OR 9783540527688 (print), 9783540471394 (ebook)

bibsource:
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; https://www.math.utah.edu/pub/tex/bib/lnm1990.bib

entry:
@Article{Borwein:1990:RCM,
  author =       "J. M. Borwein and P. B. Borwein",
  booktitle =    "Computational methods and function theory
                 ({Valpara}{\'\i}so, 1989)",
  title =        "A remarkable cubic mean iteration",
  journal =      j-LECT-NOTES-MATH,
  volume =       "1435",
  pages =        "27--31",
  year =         "1990",
  CODEN =        "LNMAA2",
  DOI =          "https://doi.org/10.1007/BFb0087894",
  ISBN =         "3-540-52768-0 (print), 3-540-47139-1 (e-book)",
  ISBN-13 =      "978-3-540-52768-8 (print), 978-3-540-47139-4
                 (e-book)",
  ISSN =         "0075-8434 (print), 1617-9692 (electronic)",
  ISSN-L =       "0075-8434",
  MRclass =      "33C05",
  MRnumber =     "1071759 (92b:33003)",
  MRreviewer =   "W. H. J. Fuchs",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/lnm1990.bib",
  URL =          "http://link.springer.com/chapter/10.1007/BFb0087894/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  book-DOI =     "https://doi.org/10.1007/BFb0087892",
  book-URL =     "http://www.springerlink.com/content/978-3-540-47139-4",
  fjournal =     "Lecture Notes in Mathematics",
  journal-URL =  "http://link.springer.com/bookseries/304",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: inproceedings
filename: borwein-jonathan-m.bib
label: Borwein:1990:SDPa
author: J. M. Borwein
editor: Gustave Choquet and others
booktitle: Seminaire d'initiation a l'analyze
title: A survey of differentiability properties of convex, Lipschitz and lsc functions
publisher: Publ. Math. Univ. Pierre et Marie Curie
address: Paris, France
pages: ??--??
year: 1990
bibdate: Mon Aug 15 15:02:04 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.15 15:02:04 ???
URL: https://carma.newcastle.edu.au/jon/Preprints/Books/CUP/CUPold/convsurvey.pdf
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: J. M. Borwein
rawbooktitle: S{\'e}minaire d'initiation {\`a} l'analyze
raweditor: Gustave Choquet and others
rawtitle: A survey of differentiability properties of convex, {Lipschitz} and lsc functions
ORCID: Borwein, Jonathan/0000-0002-1263-0646
remark:
The title in the PDF file is ``A Survey of Convex Functions and Sequential Convergence'', with co-author Jon D. Vanderwerff: is that a completely different paper?

entry:
@InProceedings{Borwein:1990:SDPa,
  author =       "J. M. Borwein",
  editor =       "Gustave Choquet and others",
  booktitle =    "S{\'e}minaire d'initiation {\`a} l'analyze",
  title =        "A survey of differentiability properties of convex,
                 {Lipschitz} and lsc functions",
  publisher =    "Publ. Math. Univ. Pierre et Marie Curie",
  address =      "Paris, France",
  pages =        "??--??",
  year =         "1990",
  DOI =          "",
  ISBN =         "",
  ISBN-13 =      "",
  LCCN =         "",
  bibdate =      "Mon Aug 15 15:02:04 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "https://carma.newcastle.edu.au/jon/Preprints/Books/CUP/CUPold/convsurvey.pdf",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  pagecount =    "11",
  remark =       "The title in the PDF file is ``A Survey of Convex
                 Functions and Sequential Convergence'', with co-author
                 Jon D. Vanderwerff: is that a completely different
                 paper?",
}


bibtype: techreport
filename: borwein-jonathan-m.bib
label: Borwein:1990:SSH
author: J. M. Borwein and P. B. Borwein
title: Strange Series and High Precision Fraud
type: Preliminary Report
institution: Department of Mathematics, Statistics and Computing Science, Dalhousie University
address: Halifax, NS B3H 3J5, Canada
pages: 28
day: 4
month: sep
monthnumber: 9
year: 1990
MRclass: 11A99, 11A55 (primary), 65B10 (secondary)
bibdate: Fri Nov 11 07:05:53 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.11.11 07:05:53 ???
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: J. M. Borwein and P. B. Borwein
rawtitle: Strange Series and High Precision Fraud
ORCID: Borwein, Jonathan/0000-0002-1263-0646
abstract:
We present a variety of series some of which have simple evaluations. Others appear to have simple evaluations when computed to several hundred or even several million digit precision, but are in fact frauds. Many of these examples are based on series whose terms involve digit sums and the integer part function.

keywords:
approximation; continued fractions; digit series; generating functions; high precision estimates; integer parts; irrationality; Mahler's series; modular transformations; transcendence

remark:
Date recorded in ambiguous form 4/9/90; entry Borwein:1988:CCJ has 31/12/88, suggesting that the first number is the day.

rawabstract:
We present a variety of series some of which have simple evaluations. Others appear to have simple evaluations when computed to several hundred or even several million digit precision, but are in fact frauds. Many of these examples are based on series whose terms involve digit sums and the integer part function.

entry:
@TechReport{Borwein:1990:SSH,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "Strange Series and High Precision Fraud",
  type =         "Preliminary Report",
  institution =  "Department of Mathematics, Statistics and Computing
                 Science, Dalhousie University",
  address =      "Halifax, NS B3H 3J5, Canada",
  pages =        "28",
  day =          "4",
  month =        sep,
  year =         "1990",
  MRclass =      "11A99, 11A55 (primary), 65B10 (secondary)",
  bibdate =      "Fri Nov 11 07:05:53 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  abstract =     "We present a variety of series some of which have
                 simple evaluations. Others appear to have simple
                 evaluations when computed to several hundred or even
                 several million digit precision, but are in fact
                 frauds. Many of these examples are based on series
                 whose terms involve digit sums and the integer part
                 function.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  keywords =     "approximation; continued fractions; digit series;
                 generating functions; high precision estimates; integer
                 parts; irrationality; Mahler's series; modular
                 transformations; transcendence",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "Date recorded in ambiguous form 4/9/90; entry
                 Borwein:1988:CCJ has 31/12/88, suggesting that the
                 first number is the day.",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Knuth:1990:PSSa
author: D. E. Knuth and Jungmin Woo and Hans Kappus and J. M. Borwein and P. B. Borwein
title: Problems and Solutions: Solutions of Elementary Problems: E3335
journal: j-AMER-MATH-MONTHLY
volume: 97
number: 10
pages: 927
year: 1990
CODEN: AMMYAE
ISSN: 0002-9890 (print), 1930-0972 (electronic) OR 00029890 (print), 19300972 (electronic)
ISSNL: 0002-9890 OR 00029890
MRnumber: 1541809
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
URL: 2-8&origin=MSN; http://links.jstor.org/sici?sici=0002-9890(199012)97:10<927:E>2.0.CO
fjournal: American Mathematical Monthly
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://www.jstor.org/journals/00029890.html
rawauthor: D. E. Knuth and Jungmin Woo and Hans Kappus and J. M. Borwein and P. B. Borwein
rawtitle: Problems and Solutions: Solutions of Elementary Problems: {E3335}
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Knuth:1990:PSSa,
  author =       "D. E. Knuth and Jungmin Woo and Hans Kappus and J. M.
                 Borwein and P. B. Borwein",
  title =        "Problems and Solutions: Solutions of Elementary
                 Problems: {E3335}",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "97",
  number =       "10",
  pages =        "927",
  year =         "1990",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRnumber =     "1541809",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "2-8&origin=MSN;
                 http://links.jstor.org/sici?sici=0002-9890(199012)97:10<927:E>2.0.CO",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/journals/00029890.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Knuth:1990:PSSb
author: D. E. Knuth and Jungmin Woo and Hans Kappus and J. M. Borwein and P. B. Borwein
title: Problems and Solutions: Solutions of Elementary Problems: E3335
journal: j-AMER-MATH-MONTHLY
volume: 97
number: 10
pages: 927
year: 1990
CODEN: AMMYAE
ISSN: 0002-9890 (print), 1930-0972 (electronic) OR 00029890 (print), 19300972 (electronic)
ISSNL: 0002-9890 OR 00029890
MRnumber: 1541809
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
URL: 2-8&origin=MSN; http://links.jstor.org/sici?sici=0002-9890(199012)97:10<927:E>2.0.CO
fjournal: The American Mathematical Monthly
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://www.jstor.org/journals/00029890.html
rawauthor: D. E. Knuth and Jungmin Woo and Hans Kappus and J. M. Borwein and P. B. Borwein
rawtitle: Problems and Solutions: Solutions of Elementary Problems: {E3335}
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Knuth:1990:PSSb,
  author =       "D. E. Knuth and Jungmin Woo and Hans Kappus and J. M.
                 Borwein and P. B. Borwein",
  title =        "Problems and Solutions: Solutions of Elementary
                 Problems: {E3335}",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "97",
  number =       "10",
  pages =        "927",
  year =         "1990",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRnumber =     "1541809",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "2-8&origin=MSN;
                 http://links.jstor.org/sici?sici=0002-9890(199012)97:10<927:E>2.0.CO",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "The American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/journals/00029890.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Knuth:1990:PSSc
author: D. E. Knuth and Jungmin Woo and Hans Kappus and J. M. Borwein and P. B. Borwein
title: Problems and Solutions: Solutions of Elementary Problems: E3335
journal: j-AMER-MATH-MONTHLY
volume: 97
number: 10
pages: 927--927
month: dec
monthnumber: 12
year: 1990
CODEN: AMMYAE
DOI: https://doi.org/10.2307/2324339
ISSN: 0002-9890 (print), 1930-0972 (electronic) OR 00029890 (print), 19300972 (electronic)
ISSNL: 0002-9890 OR 00029890
bibdate: Wed Aug 10 11:09:47 2016
bibtimestamp: 2016.08.10 11:09:47 ???
note: See also cite Rudin:1989:PSE.
fjournal: American Mathematical Monthly
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: https://www.jstor.org/journals/00029890.htm
rawauthor: D. E. Knuth and Jungmin Woo and Hans Kappus and J. M. Borwein and P. B. Borwein
rawnote: See also \cite{Rudin:1989:PSE}.
rawtitle: Problems and Solutions: Solutions of Elementary Problems: {E3335}
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Knuth:1990:PSSc,
  author =       "D. E. Knuth and Jungmin Woo and Hans Kappus and J. M.
                 Borwein and P. B. Borwein",
  title =        "Problems and Solutions: Solutions of Elementary
                 Problems: {E3335}",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "97",
  number =       "10",
  pages =        "927--927",
  month =        dec,
  year =         "1990",
  CODEN =        "AMMYAE",
  DOI =          "https://doi.org/10.2307/2324339",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "http://www.jstor.org/journals/00029890.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
  note =         "See also \cite{Rudin:1989:PSE}.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "https://www.jstor.org/journals/00029890.htm",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: book
filename: borwein-jonathan-m.bib
label: Borowski:1991:HDM
author: E. J. Borowski and J. M. Borwein
title: The HarperCollins dictionary of mathematics
publisher: HarperPerennial
address: New York, NY, USA
pages: xii + 659
year: 1991
ISBN: 0-06-461019-5, 0-00-434347-6 (paperback) OR 0064610195, 0004343476 (paperback)
ISBN13: 978-0-06-461019-3, 978-0-00-434347-1 (paperback) OR 9780064610193, 9780004343471 (paperback)
LCCN: QA5 B67 1989
MRclass: 00A20
MRnumber: 1210061
MRreviewer: F. J. Papp
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://docserver.carma.newcastle.edu.au/1738/
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: E. J. Borowski and J. M. Borwein
rawtitle: The {HarperCollins} dictionary of mathematics
ORCID: Borwein, Jonathan/0000-0002-1263-0646
note:
With the assistance of J. F. Bowers, A. Robertson and M. McQuillan, Revised reprint of the 1988 original cite Borowski:1988:DM.

remark:
Translations: Chinese (1995), Indonesian (Erlanga Penerbit, 1995), Italian (Gremese Editore) 1995, Arabic (Academia International) 1991

rawnote:
With the assistance of J. F. Bowers, A. Robertson and M. McQuillan, Revised reprint of the 1988 original \cite{Borowski:1988:DM}.

entry:
@Book{Borowski:1991:HDM,
  author =       "E. J. Borowski and J. M. Borwein",
  title =        "The {HarperCollins} dictionary of mathematics",
  publisher =    "HarperPerennial",
  address =      "New York, NY, USA",
  pages =        "xii + 659",
  year =         "1991",
  ISBN =         "0-06-461019-5, 0-00-434347-6 (paperback)",
  ISBN-13 =      "978-0-06-461019-3, 978-0-00-434347-1 (paperback)",
  LCCN =         "QA5 B67 1989",
  MRclass =      "00A20",
  MRnumber =     "1210061",
  MRreviewer =   "F. J. Papp",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  note =         "With the assistance of J. F. Bowers, A. Robertson and
                 M. McQuillan, Revised reprint of the 1988 original
                 \cite{Borowski:1988:DM}.",
  URL =          "http://docserver.carma.newcastle.edu.au/1738/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "Translations: Chinese (1995), Indonesian (Erlanga
                 Penerbit, 1995), Italian (Gremese Editore) 1995, Arabic
                 (Academia International) 1991",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1991:CBE
author: Jonathan M. Borwein and Adrian S. Lewis
title: Convergence of best entropy estimates
journal: j-SIAM-J-OPT
volume: 1
number: 2
pages: 191--205
year: 1991
CODEN: SJOPE8
DOI: https://doi.org/10.1137/0801014
ISSN: 1052-6234 (print), 1095-7189 (electronic) OR 10526234 (print), 10957189 (electronic)
ISSNL: 1052-6234 OR 10526234
MRclass: 41A46 (28A20 28D20)
MRnumber: 1098426
MRreviewer: Tiberiu Constantinescu
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://docserver.carma.newcastle.edu.au/1576/
fjournal: SIAM Journal on Optimization
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://epubs.siam.org/siopt
rawauthor: Jonathan M. Borwein and Adrian S. Lewis
rawtitle: Convergence of best entropy estimates
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Borwein:1991:CBE,
  author =       "Jonathan M. Borwein and Adrian S. Lewis",
  title =        "Convergence of best entropy estimates",
  journal =      j-SIAM-J-OPT,
  volume =       "1",
  number =       "2",
  pages =        "191--205",
  year =         "1991",
  CODEN =        "SJOPE8",
  DOI =          "https://doi.org/10.1137/0801014",
  ISSN =         "1052-6234 (print), 1095-7189 (electronic)",
  ISSN-L =       "1052-6234",
  MRclass =      "41A46 (28A20 28D20)",
  MRnumber =     "1098426",
  MRreviewer =   "Tiberiu Constantinescu",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1576/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "SIAM Journal on Optimization",
  journal-URL =  "http://epubs.siam.org/siopt",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1991:CCJ
author: J. M. Borwein and P. B. Borwein
title: A cubic counterpart of Jacobi's identity and the AGM
journal: j-TRANS-AM-MATH-SOC
volume: 323
number: 2
pages: 691--701
month: feb
monthnumber: 2
year: 1991
CODEN: TAMTAM
DOI: https://doi.org/10.2307/2001551
ISSN: 0002-9947 (print), 1088-6850 (electronic) OR 00029947 (print), 10886850 (electronic)
ISSNL: 0002-9947 OR 00029947
MRclass: 33C75 (11F11 11Y60 33C05)
MRnumber: 1010408
MRreviewer: Bruce C. Berndt
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://docserver.carma.newcastle.edu.au/1578/; http://www.jstor.org/stable/2001551
fjournal: Transactions of the American Mathematical Society
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://www.ams.org/journals/tran/
rawauthor: J. M. Borwein and P. B. Borwein
rawtitle: A cubic counterpart of {Jacobi}'s identity and the {AGM}
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Borwein:1991:CCJ,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "A cubic counterpart of {Jacobi}'s identity and the
                 {AGM}",
  journal =      j-TRANS-AM-MATH-SOC,
  volume =       "323",
  number =       "2",
  pages =        "691--701",
  month =        feb,
  year =         "1991",
  CODEN =        "TAMTAM",
  DOI =          "https://doi.org/10.2307/2001551",
  ISSN =         "0002-9947 (print), 1088-6850 (electronic)",
  ISSN-L =       "0002-9947",
  MRclass =      "33C75 (11F11 11Y60 33C05)",
  MRnumber =     "1010408",
  MRreviewer =   "Bruce C. Berndt",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1578/;
                 http://www.jstor.org/stable/2001551",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Transactions of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/tran/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1991:CMP
author: Jonathan M. Borwein and Adrian S. Lewis
title: On the convergence of moment problems
journal: j-TRANS-AM-MATH-SOC
volume: 325
number: 1
pages: 249--271
month: may
monthnumber: 5
year: 1991
CODEN: TAMTAM
DOI: https://doi.org/10.2307/2001670
ISSN: 0002-9947 (print), 1088-6850 (electronic) OR 00029947 (print), 10886850 (electronic)
ISSNL: 0002-9947 OR 00029947
MRclass: 44A60 (90C90)
MRnumber: 1008695
MRreviewer: Tiberiu Constantinescu
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://docserver.carma.newcastle.edu.au/1579/; http://www.jstor.org/stable/2001670
fjournal: Transactions of the American Mathematical Society
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://www.ams.org/journals/tran/
rawauthor: Jonathan M. Borwein and Adrian S. Lewis
rawtitle: On the convergence of moment problems
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Borwein:1991:CMP,
  author =       "Jonathan M. Borwein and Adrian S. Lewis",
  title =        "On the convergence of moment problems",
  journal =      j-TRANS-AM-MATH-SOC,
  volume =       "325",
  number =       "1",
  pages =        "249--271",
  month =        may,
  year =         "1991",
  CODEN =        "TAMTAM",
  DOI =          "https://doi.org/10.2307/2001670",
  ISSN =         "0002-9947 (print), 1088-6850 (electronic)",
  ISSN-L =       "0002-9947",
  MRclass =      "44A60 (90C90)",
  MRnumber =     "1008695",
  MRreviewer =   "Tiberiu Constantinescu",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1579/;
                 http://www.jstor.org/stable/2001670",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Transactions of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/tran/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: incollection
filename: borwein-jonathan-m.bib
label: Borwein:1991:DPC
author: Jonathan M. Borwein
booktitle: Seminaire d'Initiation a l'Analyse
volume: 104(19)
publisher: Universite de Paris VI
address: Paris, France
pages: 1--11
year: 1991
MRclass: 46G05 (26E15 46B20 46N10 49J50 58C20)
MRnumber: 1217320
MRreviewer: Saheb Dayal
bibdate: Fri Oct 13 14:59:36 2017
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2017.10.13 14:59:36 ???
series: Publ. Math. Univ. Pierre et Marie Curie
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Jonathan M. Borwein
rawbooktitle: S{\'e}minaire d'Initiation {\`a} l'Analyse
ORCID: Borwein, Jonathan/0000-0002-1263-0646
title:
Differentiability properties of convex, of Lipschitz, and of semicontinuous mappings on Banach spaces

rawtitle:
Differentiability properties of convex, of {Lipschitz}, and of semicontinuous mappings on {Banach} spaces

entry:
@InCollection{Borwein:1991:DPC,
  author =       "Jonathan M. Borwein",
  booktitle =    "S{\'e}minaire d'Initiation {\`a} l'Analyse",
  title =        "Differentiability properties of convex, of
                 {Lipschitz}, and of semicontinuous mappings on {Banach}
                 spaces",
  volume =       "104(19)",
  publisher =    "Universit{\'e} de Paris VI",
  address =      "Paris, France",
  pages =        "1--11",
  year =         "1991",
  MRclass =      "46G05 (26E15 46B20 46N10 49J50 58C20)",
  MRnumber =     "1217320",
  MRreviewer =   "Saheb Dayal",
  bibdate =      "Fri Oct 13 14:59:36 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  series =       "Publ. Math. Univ. Pierre et Marie Curie",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1991:DRE
author: Jonathan M. Borwein and Adrian S. Lewis
title: Duality relationships for entropy-like minimization problems
journal: j-SIAM-J-CONTROL-OPTIM
volume: 29
number: 2
pages: 325--338
year: 1991
CODEN: SJCODE
DOI: https://doi.org/10.1137/0329017
ISSN: 0363-0129 (print), 1095-7138 (electronic) OR 03630129 (print), 10957138 (electronic)
ISSNL: 0363-0129 OR 03630129
MRclass: 49N15 (90C29 90C48)
MRnumber: 1092730
MRreviewer: C. P. Ortlieb
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://docserver.carma.newcastle.edu.au/1577/
fjournal: SIAM Journal on Control and Optimization
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://epubs.siam.org/sicon
rawauthor: Jonathan M. Borwein and Adrian S. Lewis
rawtitle: Duality relationships for entropy-like minimization problems
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Borwein:1991:DRE,
  author =       "Jonathan M. Borwein and Adrian S. Lewis",
  title =        "Duality relationships for entropy-like minimization
                 problems",
  journal =      j-SIAM-J-CONTROL-OPTIM,
  volume =       "29",
  number =       "2",
  pages =        "325--338",
  year =         "1991",
  CODEN =        "SJCODE",
  DOI =          "https://doi.org/10.1137/0329017",
  ISSN =         "0363-0129 (print), 1095-7138 (electronic)",
  ISSN-L =       "0363-0129",
  MRclass =      "49N15 (90C29 90C48)",
  MRnumber =     "1092730",
  MRreviewer =   "C. P. Ortlieb",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1577/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "SIAM Journal on Control and Optimization",
  journal-URL =  "http://epubs.siam.org/sicon",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1991:FPI
author: David Borwein and Jonathan Borwein
title: Fixed point iterations for real functions
journal: j-J-MATH-ANAL-APPL
volume: 157
number: 1
pages: 112--126
year: 1991
CODEN: JMANAK
DOI: https://doi.org/10.1016/0022-247X(91)90139-Q
ISSN: 0022-247X (print), 1096-0813 (electronic) OR 0022247X (print), 10960813 (electronic)
ISSNL: 0022-247X OR 0022247X
MRclass: 65H05 (39B12)
MRnumber: 1109446
MRreviewer: Joe Thrash
bibdate: Thu Aug 11 10:27:38 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 10:27:38 ???
URL: http://www.sciencedirect.com/science/article/pii/0022247X9190139Q
fjournal: Journal of Mathematical Analysis and Applications
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://www.sciencedirect.com/science/journal/0022247X
rawauthor: David Borwein and Jonathan Borwein
rawtitle: Fixed point iterations for real functions
ORCID: Borwein, Jonathan/0000-0002-1263-0646
abstract:
We give proofs of general results on the computation of fixed points of a continuous function or a Lipschitz function on the real line. We also show how completely these results can fail to hold in spaces of more than one dimension.

rawabstract:
We give proofs of general results on the computation of fixed points of a continuous function or a Lipschitz function on the real line. We also show how completely these results can fail to hold in spaces of more than one dimension.

entry:
@Article{Borwein:1991:FPI,
  author =       "David Borwein and Jonathan Borwein",
  title =        "Fixed point iterations for real functions",
  journal =      j-J-MATH-ANAL-APPL,
  volume =       "157",
  number =       "1",
  pages =        "112--126",
  year =         "1991",
  CODEN =        "JMANAK",
  DOI =          "https://doi.org/10.1016/0022-247X(91)90139-Q",
  ISSN =         "0022-247X (print), 1096-0813 (electronic)",
  ISSN-L =       "0022-247X",
  MRclass =      "65H05 (39B12)",
  MRnumber =     "1109446",
  MRreviewer =   "Joe Thrash",
  bibdate =      "Thu Aug 11 10:27:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0022247X9190139Q",
  abstract =     "We give proofs of general results on the computation
                 of fixed points of a continuous function or a Lipschitz
                 function on the real line. We also show how completely
                 these results can fail to hold in spaces of more than
                 one dimension.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Journal of Mathematical Analysis and Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/0022247X",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: incollection
filename: borwein-jonathan-m.bib
label: Borwein:1991:MCS
author: J. M. Borwein
editor: Michael A. Thera and Jean-Bernard Baillon
title: Minimal CUSCOS and subgradients of Lipschitz functions
volume: 252
publisher: pub-LONGMAN
address: pub-LONGMAN:adr
pages: 57--81
year: 1991
ISBN: 0-582-08063-0 (Harlow), 0-470-21759-6 (New York) OR 0582080630 (Harlow), 0470217596 (New York)
LCCN: QA329.9 .F58 1991
MRclass: 46G05 (47H04 49J52)
MRnumber: 1122818
MRreviewer: Doug Ward
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
series: Pitman Res. Notes Math. Ser.
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: J. M. Borwein
raweditor: Michael A. Th{\'e}ra and Jean-Bernard Baillon
rawtitle: Minimal {CUSCOS} and subgradients of {Lipschitz} functions
ORCID: Borwein, Jonathan/0000-0002-1263-0646
booktitle:
Fixed point theory and applications: proceedings of the International Conference on Fixed Point Theory and Applications, held at CIRM (Centre International de Rencontres Mathematiques) located in the campus of the University of Marseille-Luminy, June 5--9, 1989

ISBN13:
978-0-582-08063-8 (Harlow), 978-0-470-21759-7 (New York) OR 9780582080638 (Harlow), 9780470217597 (New York)

rawbooktitle:
Fixed point theory and applications: proceedings of the {International Conference on Fixed Point Theory and Applications, held at CIRM (Centre International de Rencontres Math{\'e}matiques) located in the campus of the University of Marseille-Luminy, June 5--9, 1989}

entry:
@InCollection{Borwein:1991:MCS,
  author =       "J. M. Borwein",
  editor =       "Michael A. Th{\'e}ra and Jean-Bernard Baillon",
  booktitle =    "Fixed point theory and applications: proceedings of
                 the {International Conference on Fixed Point Theory and
                 Applications, held at CIRM (Centre International de
                 Rencontres Math{\'e}matiques) located in the campus of
                 the University of Marseille-Luminy, June 5--9, 1989}",
  title =        "Minimal {CUSCOS} and subgradients of {Lipschitz}
                 functions",
  volume =       "252",
  publisher =    pub-LONGMAN,
  address =      pub-LONGMAN:adr,
  pages =        "57--81",
  year =         "1991",
  ISBN =         "0-582-08063-0 (Harlow), 0-470-21759-6 (New York)",
  ISBN-13 =      "978-0-582-08063-8 (Harlow), 978-0-470-21759-7 (New
                 York)",
  LCCN =         "QA329.9 .F58 1991",
  MRclass =      "46G05 (47H04 49J52)",
  MRnumber =     "1122818",
  MRreviewer =   "Doug Ward",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  series =       "Pitman Res. Notes Math. Ser.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1991:MCU
author: Jonathan Borwein and Simon Fitzpatrick and Petar Kenderov
title: Minimal convex uscos and monotone operators on small sets
journal: j-CAN-J-MATH
volume: 43
number: 3
pages: 461--476
year: 1991
CODEN: CJMAAB
DOI: https://doi.org/10.4153/CJM-1991-028-5
ISSN: 0008-414X (print), 1496-4279 (electronic) OR 0008414X (print), 14964279 (electronic)
ISSNL: 0008-414X OR 0008414X
MRclass: 46G05 (47H05 54C99)
MRnumber: 1118004
MRreviewer: Doug Ward
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://docserver.carma.newcastle.edu.au/1573/
fjournal: Canadian Journal of Mathematics. Journal Canadien de Mathematiques
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://cms.math.ca/cjm/
rawauthor: Jonathan Borwein and Simon Fitzpatrick and Petar Kenderov
rawtitle: Minimal convex uscos and monotone operators on small sets
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Borwein:1991:MCU,
  author =       "Jonathan Borwein and Simon Fitzpatrick and Petar
                 Kenderov",
  title =        "Minimal convex uscos and monotone operators on small
                 sets",
  journal =      j-CAN-J-MATH,
  volume =       "43",
  number =       "3",
  pages =        "461--476",
  year =         "1991",
  CODEN =        "CJMAAB",
  DOI =          "https://doi.org/10.4153/CJM-1991-028-5",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  MRclass =      "46G05 (47H05 54C99)",
  MRnumber =     "1118004",
  MRreviewer =   "Doug Ward",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1573/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Canadian Journal of Mathematics. Journal Canadien de
                 Math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1991:NR
author: Jonathan M. Borwein and G. de Barra
title: Nested radicals
journal: j-AMER-MATH-MONTHLY
volume: 98
number: 8
pages: 735--739
year: 1991
CODEN: AMMYAE
DOI: https://doi.org/10.2307/2324426
ISSN: 0002-9890 (print), 1930-0972 (electronic) OR 00029890 (print), 19300972 (electronic)
ISSNL: 0002-9890 OR 00029890
MRclass: 11A99 (11Y55 39A10 40A05)
MRnumber: 1130684
MRreviewer: Heinrich Rolletschek
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://docserver.carma.newcastle.edu.au/1580/
fjournal: American Mathematical Monthly
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://www.jstor.org/journals/00029890.html
rawauthor: Jonathan M. Borwein and G. de Barra
rawtitle: Nested radicals
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Borwein:1991:NR,
  author =       "Jonathan M. Borwein and G. de Barra",
  title =        "Nested radicals",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "98",
  number =       "8",
  pages =        "735--739",
  year =         "1991",
  CODEN =        "AMMYAE",
  DOI =          "https://doi.org/10.2307/2324426",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRclass =      "11A99 (11Y55 39A10 40A05)",
  MRnumber =     "1130684",
  MRreviewer =   "Heinrich Rolletschek",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1580/",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/journals/00029890.html",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: incollection
filename: borwein-jonathan-m.bib
label: Borwein:1991:PCF
author: Jonathan M. Borwein and Adrian S. Lewis
editor: J-B. Baillon and M. Thera
booktitle: Fixed point theory and applications (Marseille, 1989)
title: Practical conditions for Fenchel duality in infinite dimensions
volume: 252
publisher: pub-LONGMAN
address: pub-LONGMAN:adr
pages: 83--89
year: 1991
MRclass: 49N15 (46G99 90C45 90C48)
MRnumber: 1122819
MRreviewer: Blagun Kalchev
bibdate: Wed Aug 10 11:09:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 11:09:47 ???
series: Pitman Lecture Notes in Mathematics
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Jonathan M. Borwein and Adrian S. Lewis
rawbooktitle: Fixed point theory and applications ({Marseille}, 1989)
raweditor: J-B. Baillon and M. Th{\'e}ra
rawtitle: Practical conditions for {Fenchel} duality in infinite dimensions
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@InCollection{Borwein:1991:PCF,
  author =       "Jonathan M. Borwein and Adrian S. Lewis",
  editor =       "J-B. Baillon and M. Th{\'e}ra",
  booktitle =    "Fixed point theory and applications ({Marseille},
                 1989)",
  title =        "Practical conditions for {Fenchel} duality in infinite
                 dimensions",
  volume =       "252",
  publisher =    pub-LONGMAN,
  address =      pub-LONGMAN:adr,
  pages =        "83--89",
  year =         "1991",
  MRclass =      "49N15 (46G99 90C45 90C48)",
  MRnumber =     "1122819",
  MRreviewer =   "Blagun Kalchev",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  series =       "Pitman Lecture Notes in Mathematics",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  xxseries =     "Pitman Res. Notes Math. Ser.",
}


bibtype: incollection
filename: borwein-jonathan-m.bib
label: Borwein:1991:RP
author: Jonathan M. Borwein
title: Ramanujan and Pi
crossref: Ferris:1991:WTP
pages: 647--659
year: 1991
bibdate: Fri Aug 12 15:11:12 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.12 15:11:12 ???
URL: http://docserver.carma.newcastle.edu.au/1379/; https://web.archive.org/web/20170227063951/
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawauthor: Jonathan M. Borwein
rawtitle: {Ramanujan} and {Pi}
ORCID: Borwein, Jonathan/0000-0002-1263-0646
abstract:
This contribution highlights the progress made regarding Ramanujan's work on Pi since the centennial of his birth in 1987.

rawabstract:
This contribution highlights the progress made regarding Ramanujan's work on Pi since the centennial of his birth in 1987.

entry:
@InCollection{Borwein:1991:RP,
  author =       "Jonathan M. Borwein",
  title =        "{Ramanujan} and {Pi}",
  crossref =     "Ferris:1991:WTP",
  pages =        "647--659",
  year =         "1991",
  bibdate =      "Fri Aug 12 15:11:12 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1379/;
                 https://web.archive.org/web/20170227063951/",
  abstract =     "This contribution highlights the progress made
                 regarding Ramanujan's work on Pi since the centennial
                 of his birth in 1987.",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  xxauthor =     "Jonathan M. Borwein and Peter B. Borwein",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1991:SEC
author: J. M. Borwein and D. M. Zhuang
title: Super efficiency in convex vector optimization
journal: j-Z-OPER-RES
volume: 35
number: 3
pages: 175--184
year: 1991
CODEN: ZMMRFZ
DOI: https://doi.org/10.1007/BF01415905
ISSN: 0340-9422 OR 03409422
MRclass: 90C29
MRnumber: 1114290
MRreviewer: Emil Iwanow
bibdate: Thu Aug 11 09:36:22 MDT 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.11 09:36:22 MDT
URL: http://link.springer.com/article/10.1007/BF01415905
fjournal: Zeitschrift fur Operations Research. Mathematical Methods of Operations Research
acknowledgement: ack-nhfb
ajournal: Z. Oper. Res.
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://link.springer.com/journal/186
rawauthor: J. M. Borwein and D. M. Zhuang
rawtitle: Super efficiency in convex vector optimization
ORCID: Borwein, Jonathan/0000-0002-1263-0646
entry:
@Article{Borwein:1991:SEC,
  author =       "J. M. Borwein and D. M. Zhuang",
  title =        "Super efficiency in convex vector optimization",
  journal =      j-Z-OPER-RES,
  volume =       "35",
  number =       "3",
  pages =        "175--184",
  year =         "1991",
  CODEN =        "ZMMRFZ",
  DOI =          "https://doi.org/10.1007/BF01415905",
  ISSN =         "0340-9422",
  MRclass =      "90C29",
  MRnumber =     "1114290",
  MRreviewer =   "Emil Iwanow",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://link.springer.com/article/10.1007/BF01415905",
  acknowledgement = ack-nhfb,
  ajournal =     "Z. Oper. Res.",
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Zeitschrift f{\"u}r Operations Research. Mathematical
                 Methods of Operations Research",
  journal-URL =  "http://link.springer.com/journal/186",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
}


bibtype: article
filename: borwein-jonathan-m.bib
label: Borwein:1991:SGB
author: J. M. Borwein and P. B. Borwein
journal: j-SCIENCE
volume: 253
number: 5017
pages: 334--335
day: 19
month: jul
monthnumber: 7
year: 1991
CODEN: SCIEAS
DOI: https://doi.org/10.1126/science.253.5017.334
ISSN: 0036-8075 (print), 1095-9203 (electronic) OR 00368075 (print), 10959203 (electronic)
ISSNL: 0036-8075 OR 00368075
bibdate: Wed Aug 10 18:35:47 2016
bibsource: https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib
bibtimestamp: 2016.08.10 18:35:47 ???
URL: http://www.jstor.org/stable/2879085; http://www.ncbi.nlm.nih.gov/pubmed/17794700
fjournal: Science (New York, NY)
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
journalURL: http://www.sciencemag.org/archive/
onlinedate: 19 July 1991
rawauthor: J. M. Borwein and P. B. Borwein
ORCID: Borwein, Jonathan/0000-0002-1263-0646
title:
A singular genius: [book review] booktitle The Man Who Knew Infinity. A Life of the Indian Genius Ramanujan. Robert Kanigel, Scribner, New York, 1991. x + 438 pp. + plates, $27.95

rawtitle:
A singular genius: [book review] {{\booktitle{The Man Who Knew Infinity. A Life of the Indian Genius Ramanujan}}. Robert Kanigel, Scribner, New York, 1991. x + 438 pp. + plates, \$27.95}

entry:
@Article{Borwein:1991:SGB,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "A singular genius: [book review] {{\booktitle{The Man
                 Who Knew Infinity. A Life of the Indian Genius
                 Ramanujan}}. Robert Kanigel, Scribner, New York, 1991.
                 x + 438 pp. + plates, \$27.95}",
  journal =      j-SCIENCE,
  volume =       "253",
  number =       "5017",
  pages =        "334--335",
  day =          "19",
  month =        jul,
  year =         "1991",
  CODEN =        "SCIEAS",
  DOI =          "https://doi.org/10.1126/science.253.5017.334",
  ISSN =         "0036-8075 (print), 1095-9203 (electronic)",
  ISSN-L =       "0036-8075",
  bibdate =      "Wed Aug 10 18:35:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib",
  URL =          "http://www.jstor.org/stable/2879085;
                 http://www.ncbi.nlm.nih.gov/pubmed/17794700",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  fjournal =     "Science (New York, NY)",
  journal-URL =  "http://www.sciencemag.org/archive/",
  onlinedate =   "19 July 1991",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  publisherinfo = "17794700 ER",
}


