Jonathan M. Borwein

According to our database, Jonathan M. Borwein authored at least 132 papers between 1976 and 2018.

Collaborative distances:

• Dijkstra number of three.
• Erdős number of two.

2018

Gamma and Factorial in the Monthly.

Jonathan M. Borwein, Robert M. Corless

Am. Math. Mon., 2018

Convex analysis in groups and semigroups: a sampler.

Jonathan M. Borwein, Ohad Giladi

Math. Program., 2018

Computation and Experimental Evaluation of Mordell-Tornheim-Witten Sum Derivatives.

David H. Bailey, Jonathan M. Borwein

Exp. Math., 2018

2017

Convergence Rate Analysis for Averaged Fixed Point Iterations in Common Fixed Point Problems.

Jonathan M. Borwein, Guoyin Li, Matthew K. Tam

SIAM J. Optim., 2017

Generalized Continued Logarithms and Related Continued Fractions.

Jonathan M. Borwein, Kevin G. Hare, Jason G. Lynch

J. Integer Seq., 2017

Continued Logarithms and Associated Continued Fractions.

Jonathan M. Borwein, Neil J. Calkin, Scott B. Lindstrom, Andrew Mattingly

Exp. Math., 2017

Computer Discovery and Analysis of Large Poisson Polynomials.

David H. Bailey, Jonathan M. Borwein, Jason S. Kimberley, Watson Ladd

Exp. Math., 2017

Reproducibility in Computational Science: A Case Study: Randomness of the Digits of Pi.

David H. Bailey, Jonathan M. Borwein, Richard P. Brent, Mohsen Reisi

Exp. Math., 2017

2016

Computation and structure of character polylogarithms with applications to character Mordell-Tornheim-Witten sums.

David H. Bailey, Jonathan M. Borwein

Math. Comput., 2016

A Variational Approach to Lagrange Multipliers.

Jonathan M. Borwein, Qiji J. Zhu

J. Optim. Theory Appl., 2016

Maximal Monotone Inclusions and Fitzpatrick Functions.

Jonathan M. Borwein, Joydeep Dutta

J. Optim. Theory Appl., 2016

Global behavior of the Douglas-Rachford method for a nonconvex feasibility problem.

Francisco J. Aragón Artacho, Jonathan M. Borwein, Matthew K. Tam

J. Glob. Optim., 2016

2015

Duality and Convex Programming.

Jonathan M. Borwein, D. Russell Luke

Proceedings of the Handbook of Mathematical Methods in Imaging, 2015

I Prefer Pi: Addenda.

Jonathan M. Borwein, Scott T. Chapman

Am. Math. Mon., 2015

I Prefer Pi: A Brief History and Anthology of Articles in the American Mathematical Monthly.

Jonathan M. Borwein, Scott T. Chapman

Am. Math. Mon., 2015

Relations for Nielsen polylogarithms.

Jonathan M. Borwein, Armin Straub

J. Approx. Theory, 2015

Computation and theory of Mordell-Tornheim-Witten sums II.

David H. Bailey, Jonathan M. Borwein

J. Approx. Theory, 2015

Crandall's computation of the incomplete Gamma function and the Hurwitz zeta function, with applications to Dirichlet L-series.

David H. Bailey, Jonathan M. Borwein

Appl. Math. Comput., 2015

2014

On the Solution of Linear Mean Recurrences.

David Borwein, Jonathan M. Borwein, Brailey Sims

Am. Math. Mon., 2014

Deriving New Sinc Results from Old.

David Borwein, Jonathan M. Borwein

Am. Math. Mon., 2014

Pi Day Is Upon Us Again and We Still Do Not Know if Pi Is Normal.

David H. Bailey, Jonathan M. Borwein

Am. Math. Mon., 2014

Analysis of the Convergence Rate for the Cyclic Projection Algorithm Applied to Basic Semialgebraic Convex Sets.

Jonathan M. Borwein, Guoyin Li, Liangjin Yao

SIAM J. Optim., 2014

Some results on the convexity of the closure of the domain of a maximally monotone operator.

Jonathan M. Borwein, Liangjin Yao

Optim. Lett., 2014

Applications of convex analysis within mathematics.

Francisco J. Aragón Artacho, Jonathan M. Borwein, Victoria Martín-Márquez, Liangjin Yao

Math. Program., 2014

Computation and theory of extended Mordell-Tornheim-Witten sums.

David H. Bailey, Jonathan M. Borwein, Richard E. Crandall

Math. Comput., 2014

Automated simplification of large symbolic expressions.

David H. Bailey, Jonathan M. Borwein, Alexander D. Kaiser

J. Symb. Comput., 2014

A Cyclic Douglas-Rachford Iteration Scheme.

Jonathan M. Borwein, Matthew K. Tam

J. Optim. Theory Appl., 2014

Recent Results on Douglas-Rachford Methods for Combinatorial Optimization Problems.

Francisco J. Aragón Artacho, Jonathan M. Borwein, Matthew K. Tam

J. Optim. Theory Appl., 2014

Modelling and Simulation of Seasonal Rainfall Using the Principle of Maximum Entropy.

Jonathan M. Borwein, Phil G. Howlett, Julia Piantadosi

Entropy, 2014

Standing Together for Reproducibility in Large-Scale Computing: Report on reproducibility@XSEDE.

Doug James, Nancy Wilkins-Diehr, Victoria Stodden, Dirk Colbry, Carlos Rosales, Mark R. Fahey, Justin Shi, Rafael Ferreira da Silva, Kyo Lee, Ralph Roskies, Laurence Loewe, Susan Lindsey, Rob Kooper, Lorena A. Barba, David H. Bailey, Jonathan M. Borwein, Óscar Corcho, Ewa Deelman, Michael C. Dietze, Benjamin Gilbert, Jan Harkes, Seth Keele, Praveen Kumar, Jong Lee, Erika Linke, Richard Marciano, Luigi Marini, Chris Mattmann, Dave Mattson, Kenton McHenry, Robert T. McLay, Sheila Miguez, Barbara S. Minsker, María S. Pérez-Hernández, Dan Ryan, Mats Rynge, Idafen Santana-Pérez, Mahadev Satyanarayanan, Gloriana St. Clair, Keith Webster, Eivind Hovig, Daniel S. Katz, Sophie Kay, Geir Kjetil Sandve, David Skinner, Gabrielle Allen, John Cazes, Kym Won Cho, Jim Fonseca, Lorraine J. Hwang, Lars Koesterke, Pragnesh Patel, Line Pouchard, Edward Seidel, Isuru Suriarachchi

CoRR, 2014

Experimental Computation and Visual Theorems.

Jonathan M. Borwein

Proceedings of the Mathematical Software - ICMS 2014, 2014

2013

Mahler measures, short walks and log-sine integrals.

Jonathan M. Borwein, Armin Straub

Theor. Comput. Sci., 2013

Structure Theory for Maximally Monotone Operators with Points of Continuity.

Jonathan M. Borwein, Liangjin Yao

J. Optim. Theory Appl., 2013

Global convergence of a non-convex Douglas-Rachford iteration.

Francisco J. Aragón Artacho, Jonathan M. Borwein

J. Glob. Optim., 2013

Three-Step and Four-Step Random Walk Integrals.

Jonathan M. Borwein, Armin Straub, James G. Wan

Exp. Math., 2013

Expectations on fractal sets.

David H. Bailey, Jonathan M. Borwein, Richard E. Crandall, Michael G. Rose

Appl. Math. Comput., 2013

2012

A Sinc that Sank.

David Borwein, Jonathan M. Borwein, Armin Straub

Am. Math. Mon., 2012

Ancient Indian Square Roots: An Exercise in Forensic Paleo-Mathematics.

David H. Bailey, Jonathan M. Borwein

Am. Math. Mon., 2012

Copulas with maximum entropy.

Julia Piantadosi, Phil G. Howlett, Jonathan M. Borwein

Optim. Lett., 2012

Every maximally monotone operator of Fitzpatrick-Phelps type is actually of dense type.

Heinz H. Bauschke, Jonathan M. Borwein, Xianfu Wang, Liangjin Yao

Optim. Lett., 2012

Hand-to-hand combat with thousand-digit integrals.

David H. Bailey, Jonathan M. Borwein

J. Comput. Sci., 2012

Log-Sine Evaluations of Mahler Measures, II.

David Borwein, Jonathan M. Borwein, Armin Straub, James G. Wan

Integers, 2012

An Empirical Approach to the Normality of π.

David H. Bailey, Jonathan M. Borwein, Cristian S. Calude, Michael J. Dinneen, Monica Dumitrescu, Alex Yee

Exp. Math., 2012

High-precision computation: Mathematical physics and dynamics.

David H. Bailey, Roberto Barrio, Jonathan M. Borwein

Appl. Math. Comput., 2012

2011

High-precision numerical integration: Progress and challenges.

David H. Bailey, Jonathan M. Borwein

J. Symb. Comput., 2011

Mahler measures, short walks and log-sine integrals: a case study in hybrid computation.

Jonathan M. Borwein

Proceedings of the SNC 2011, 2011

Special values of generalized log-sine integrals.

Jonathan M. Borwein, Armin Straub

Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2011

The Douglas-Rachford Algorithm in the Absence of Convexity.

Jonathan M. Borwein, Brailey Sims

Proceedings of the Fixed-Point Algorithms for Inverse Problems in Science and Engineering, 2011

Entropic Regularization of the ℓ 0 Function.

Jonathan M. Borwein, D. Russell Luke

Proceedings of the Fixed-Point Algorithms for Inverse Problems in Science and Engineering, 2011

2010

L_<i>p</i> Norms and the Sinc Function.

David Borwein, Jonathan M. Borwein, Isaac E. Leonard

Am. Math. Mon., 2010

Fifty years of maximal monotonicity.

Jonathan M. Borwein

Optim. Lett., 2010

Advances in the theory of box integrals.

David H. Bailey, Jonathan M. Borwein, Richard E. Crandall

Math. Comput., 2010

Higher-Dimensional Box Integrals.

Jonathan M. Borwein, O-Yeat Chan, Richard E. Crandall

Exp. Math., 2010

2009

Euler-Boole Summation Revisited.

Jonathan M. Borwein, Neil J. Calkin, Dante Manna

Am. Math. Mon., 2009

Symbolic Fenchel Conjugation.

Jonathan M. Borwein, Chris H. Hamilton

Math. Program., 2009

Resolution of the Quinn-Rand-Strogatz Constant of Nonlinear Physics.

David H. Bailey, Jonathan M. Borwein, Richard E. Crandall

Exp. Math., 2009

2008

Hilbert's Inequality and Witten's Zeta-Function.

Jonathan M. Borwein

Am. Math. Mon., 2008

Surprising Sinc Sums and Integrals.

Robert Baillie, David Borwein, Jonathan M. Borwein

Am. Math. Mon., 2008

Effective Laguerre Asymptotics.

David Borwein, Jonathan M. Borwein, Richard E. Crandall

SIAM J. Numer. Anal., 2008

A Proof of a Recurrence for Bessel Moments.

Jonathan M. Borwein, Bruno Salvy

Exp. Math., 2008

2007

A Class of Dirichlet Series Integrals.

Jonathan M. Borwein

Am. Math. Mon., 2007

Asplund Decomposition of Monotone Operators.

Jonathan M. Borwein, Herre Wiersma

SIAM J. Optim., 2007

Fitzpatrick Functions and Continuous Linear Monotone Operators.

Heinz H. Bauschke, Jonathan M. Borwein, Xianfu Wang

SIAM J. Optim., 2007

Proximality and Chebyshev sets.

Jonathan M. Borwein

Optim. Lett., 2007

Integer Powers of Arcsin.

Jonathan M. Borwein, Marc Chamberland

Int. J. Math. Math. Sci., 2007

Hypergeometric Forms for Ising-Class Integrals.

David H. Bailey, David Borwein, Jonathan M. Borwein, Richard E. Crandall

Exp. Math., 2007

A Proof of a Recursion for Bessel Moments

Jonathan M. Borwein, Bruno Salvy

CoRR, 2007

The Coast-to-Coast Seminar and Remote Mathematical Collaboration.

Jonathan M. Borwein, David Langstroth, Mason S. Macklem, Scott Wilson

Proceedings of the 21st Annual International Symposium on High Performance Computing Systems and Applications (HPCS 2007), 2007

2006

Ten Problems in Experimental Mathematics.

David H. Bailey, Jonathan M. Borwein, Vishaal Kapoor, Eric W. Weisstein

Am. Math. Mon., 2006

Variational Methods in Convex Analysis.

Jonathan M. Borwein, Qiji J. Zhu

J. Glob. Optim., 2006

Experimental Determination of Apéry-like Identities for ς(2n + 2).

David H. Bailey, Jonathan M. Borwein, David M. Bradley

Exp. Math., 2006

Symbolic computation of multidimensional Fenchel conjugates.

Jonathan M. Borwein, Chris H. Hamilton

Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2006

Effective Bounds in Euler-Maclaurin-Based Quadrature (Summary for HPCS06).

David H. Bailey, Jonathan M. Borwein

Proceedings of the 20th Annual International Symposium on High Performance Computing Systems and Applications (HPCS 2006), 2006

2005

The Experimental Mathematician: the Pleasure of Discovery and the Role of Proof.

Jonathan M. Borwein

Int. J. Comput. Math. Learn., 2005

Continued Fractions of Tails of Hypergeometric Series.

Jonathan M. Borwein, Kwok-Kwong Stephen Choi, Wilfried Pigulla

Am. Math. Mon., 2005

2004

On the Ramanujan AGM Fraction, I: The Real-Parameter Case.

Jonathan M. Borwein, Richard E. Crandall, Greg Fee

Exp. Math., 2004

On the Ramanujan AGM Fraction, II: The Complex-Parameter Case.

Jonathan M. Borwein, Richard E. Crandall

Exp. Math., 2004

Experimentation in mathematics - computational paths to discovery.

Jonathan M. Borwein, David H. Bailey, Roland Girgensohn

A K Peters, ISBN: 978-1-56881-136-9, 2004

2003

Problem 11009.

David Borwein, Jonathan M. Borwein, Jamal Rooin

Am. Math. Mon., 2003

Probability Distributions of Assets Inferred from Option Prices via the Principle of Maximum Entropy.

Jonathan M. Borwein, Rustum Choksi, Pierre Maréchal

SIAM J. Optim., 2003

Bregman Monotone Optimization Algorithms.

Heinz H. Bauschke, Jonathan M. Borwein, Patrick L. Combettes

SIAM J. Control. Optim., 2003

Dynamic Composition of Math Lessons.

Melanie Kellar, Bonnie MacKay, Rui Zhang, Carolyn R. Watters, David Kaufman, Jonathan M. Borwein

J. Educ. Technol. Soc., 2003

Architecture to Support Dynamic Composition of Math Lesson Plans.

Melanie Kellar, Bonnie MacKay, Rui Zhang, Carolyn R. Watters, David Kaufman, Jonathan M. Borwein

Proceedings of the 2003 ACM Symposium on Applied Computing (SAC), 2003

Managing Digital Mathematical Discourse.

Jonathan M. Borwein, Terry Stanway

Proceedings of the Mathematical Knowledge Management, Second International Conference, 2003

Mathematics by experiment - plausible reasoning in the 21st century.

Jonathan M. Borwein, David H. Bailey

A K Peters, ISBN: 978-1-56881-211-3, 2003

2002

Antiproximinal Norms in Banach Spaces.

Jonathan M. Borwein, M. Jiménez-Sevilla, José Pedro Moreno

J. Approx. Theory, 2002

2001

Generalized Trigonometric Functions: 10744.

Peter Lindqvist, Jaak Peetre, Jonathan M. Borwein

Am. Math. Mon., 2001

Central Binomial Sums, Multiple Clausen Values, and Zeta Values.

Jonathan M. Borwein, David John Broadhurst, Joel Kamnitzer

Exp. Math., 2001

Challenges in mathematical computing.

Jonathan M. Borwein, Peter B. Borwein

Comput. Sci. Eng., 2001

2000

Moments of the Poisson Distribution: 10738.

Radu Theodorescu, Jonathan M. Borwein

Am. Math. Mon., 2000

Surprise Maximization.

David Borwein, Jonathan M. Borwein, Pierre Maréchal

Am. Math. Mon., 2000

A convex dual approach to the computation of NMR complex spectra.

Jonathan M. Borwein, Pierre Maréchal, David Naugler

Math. Methods Oper. Res., 2000

On the Representations of xy + yz + ZX.

Jonathan M. Borwein, Kwok-Kwong Stephen Choi

Exp. Math., 2000

Applications of integer relation algorithms.

Jonathan M. Borwein, Petr Lisonek

Discret. Math., 2000

1999

An EM-Algorithm for Dynamic SPECT.

Heinz H. Bauschke, Dominikus Noll, Anna Celler, Jonathan M. Borwein

IEEE Trans. Medical Imaging, 1999

Strong conical hull intersection property, bounded linear regularity, Jameson's property (G), and error bounds in convex optimization.

Heinz H. Bauschke, Jonathan M. Borwein, Wu Li

Math. Program., 1999

1998

Null Sets and Essentially Smooth Lipschitz Functions.

Jonathan M. Borwein, Warren B. Moors

SIAM J. Optim., 1998

A Chain Rule for Essentially Smooth Lipschitz Functions.

Jonathan M. Borwein, Warren B. Moors

SIAM J. Optim., 1998

A nonconvex separation property in Banach spaces.

Jonathan M. Borwein, Alejandro Jofré

Math. Methods Oper. Res., 1998

Combinatorial Aspects of Multiple Zeta Values.

Jonathan M. Borwein, David M. Bradley, David John Broadhurst, Petr Lisonek

Electron. J. Comb., 1998

Mathematical publication on the Web.

Jonathan M. Borwein

SIGSAM Bull., 1998

1997

On the Khintchine constant .

David H. Bailey, Jonathan M. Borwein, Richard E. Crandall

Math. Comput., 1997

Empirically Determined Apéry-Like Formulae for ζ(4n+3).

Jonathan M. Borwein, David M. Bradley

Exp. Math., 1997

Evaluations of k-fold Euler/Zagier sums: a compendium of results for arbitrary k.

Jonathan M. Borwein, David M. Bradley, David John Broadhurst

Electron. J. Comb., 1997

1996

The Encyclopedia of Integer Sequences (N. J. A. Sloane and Simon Plouffe).

Jonathan M. Borwein, Robert M. Corless

SIAM Rev., 1996

On Projection Algorithms for Solving Convex Feasibility Problems.

Heinz H. Bauschke, Jonathan M. Borwein

SIAM Rev., 1996

Maximum Entropy Reconstruction Using Derivative Information, Part 1: Fisher Information and Convex Duality.

Jonathan M. Borwein, Adrian S. Lewis, Dominikus Noll

Math. Oper. Res., 1996

Evaluation of Triple Euler Sums.

Jonathan M. Borwein, Roland Girgensohn

Electron. J. Comb., 1996

Searching symbolically for Ape'ry-like formulae for values of the Riemann zeta function.

Jonathan M. Borwein, David M. Bradley

SIGSAM Bull., 1996

1995

A Fast Heuristic Method for Polynomial Moment Problems with Boltzmann-Shannon Entropy.

Jonathan M. Borwein, W. Z. Huang

SIAM J. Optim., 1995

Finding New Mathematical Identities with Supercomputers.

David H. Bailey, Jonathan M. Borwein, Roland Girgensohn

Proceedings of the Seventh SIAM Conference on Parallel Processing for Scientific Computing, 1995

1994

Strong Rotundity and Optimization.

Jonathan M. Borwein, Adrian S. Lewis

SIAM J. Optim., 1994

Uniform convergence for moment problems with Fermi-Dirac type entropies.

Jonathan M. Borwein, W. Huang

Math. Methods Oper. Res., 1994

Experimental Evaluation of Euler Sums.

David H. Bailey, Jonathan M. Borwein, Roland Girgensohn

Exp. Math., 1994

1993

Partially-Finite Programming in L₁ and the Existence of Maximum Entropy Estimates.

Jonathan M. Borwein, Adrian S. Lewis

SIAM J. Optim., 1993

On the failure of maximum entropy reconstruction for Fredholm equations and other infinite systems.

Jonathan M. Borwein

Math. Program., 1993

1992

Partially finite convex programming, Part II: Explicit lattice models.

Jonathan M. Borwein, Adrian S. Lewis

Math. Program., 1992

Partially finite convex programming, Part I: Quasi relative interiors and duality theory.

Jonathan M. Borwein, Adrian S. Lewis

Math. Program., 1992

1991

Convergence of Best Entropy Estimates.

Jonathan M. Borwein, Adrian S. Lewis

SIAM J. Optim., 1991

Super efficiency in convex vector optimization.

Jonathan Michael Borwein, Deming M. Zhuang

ZOR Methods Model. Oper. Res., 1991

1990

Generalized Concavity (Mordecai Avriel, Walter E. Diewert, Siegfried Schaible, and Israel Zang).

Jonathan M. Borwein

SIAM Rev., 1990

1989

The Linear Order Complementarity Problem.

Jonathan M. Borwein, M. A. H. Dempster

Math. Oper. Res., 1989

1986

On Fan's minimax theorem.

Jonathan M. Borwein, Deming M. Zhuang

Math. Program., 1986

A simple constraint qualification in infinite dimensional programming.

Jonathan M. Borwein, Henry Wolkowicz

Math. Program., 1986

1984

Two kinds of normality in vector optimization.

Jonathan M. Borwein, J. W. Nieuwenhuis

Math. Program., 1984

1983

Adjoint Process Duality.

Jonathan M. Borwein

Math. Oper. Res., 1983

On the Existence of Pareto Efficient Points.

Jonathan M. Borwein

Math. Oper. Res., 1983

1982

A note on the existence of subgradients.

Jonathan M. Borwein

Math. Program., 1982

1981

Direct theorems in semi-infinite convex programming.

Jonathan M. Borwein

Math. Program., 1981

1980

A note on perfect duality and limiting lagrangeans.

Jonathan M. Borwein

Math. Program., 1980

1977

Multivalued convexity and optimization: A unified approach to inequality and equality constraints.

Jonathan M. Borwein

Math. Program., 1977

1976

Fractional programming without differentiability.

Jonathan M. Borwein

Math. Program., 1976