Jonathan M. Borwein

Orcid: 0000-0002-1263-0646

According to our database1, Jonathan M. Borwein authored at least 132 papers between 1976 and 2018.

Collaborative distances:
  • Dijkstra number2 of three.
  • Erdős number3 of two.



In proceedings 
PhD thesis 


Online presence:



Gamma and Factorial in the Monthly.
Am. Math. Mon., 2018

Convex analysis in groups and semigroups: a sampler.
Math. Program., 2018

Computation and Experimental Evaluation of Mordell-Tornheim-Witten Sum Derivatives.
Exp. Math., 2018

Convergence Rate Analysis for Averaged Fixed Point Iterations in Common Fixed Point Problems.
SIAM J. Optim., 2017

Generalized Continued Logarithms and Related Continued Fractions.
J. Integer Seq., 2017

Continued Logarithms and Associated Continued Fractions.
Exp. Math., 2017

Computer Discovery and Analysis of Large Poisson Polynomials.
Exp. Math., 2017

Reproducibility in Computational Science: A Case Study: Randomness of the Digits of Pi.
Exp. Math., 2017

Computation and structure of character polylogarithms with applications to character Mordell-Tornheim-Witten sums.
Math. Comput., 2016

A Variational Approach to Lagrange Multipliers.
J. Optim. Theory Appl., 2016

Maximal Monotone Inclusions and Fitzpatrick Functions.
J. Optim. Theory Appl., 2016

Global behavior of the Douglas-Rachford method for a nonconvex feasibility problem.
J. Glob. Optim., 2016

Duality and Convex Programming.
Proceedings of the Handbook of Mathematical Methods in Imaging, 2015

I Prefer Pi: Addenda.
Am. Math. Mon., 2015

I Prefer Pi: A Brief History and Anthology of Articles in the American Mathematical Monthly.
Am. Math. Mon., 2015

Relations for Nielsen polylogarithms.
J. Approx. Theory, 2015

Computation and theory of Mordell-Tornheim-Witten sums II.
J. Approx. Theory, 2015

Crandall's computation of the incomplete Gamma function and the Hurwitz zeta function, with applications to Dirichlet L-series.
Appl. Math. Comput., 2015

On the Solution of Linear Mean Recurrences.
Am. Math. Mon., 2014

Deriving New Sinc Results from Old.
Am. Math. Mon., 2014

Pi Day Is Upon Us Again and We Still Do Not Know if Pi Is Normal.
Am. Math. Mon., 2014

Analysis of the Convergence Rate for the Cyclic Projection Algorithm Applied to Basic Semialgebraic Convex Sets.
SIAM J. Optim., 2014

Some results on the convexity of the closure of the domain of a maximally monotone operator.
Optim. Lett., 2014

Applications of convex analysis within mathematics.
Math. Program., 2014

Computation and theory of extended Mordell-Tornheim-Witten sums.
Math. Comput., 2014

Automated simplification of large symbolic expressions.
J. Symb. Comput., 2014

A Cyclic Douglas-Rachford Iteration Scheme.
J. Optim. Theory Appl., 2014

Recent Results on Douglas-Rachford Methods for Combinatorial Optimization Problems.
J. Optim. Theory Appl., 2014

Modelling and Simulation of Seasonal Rainfall Using the Principle of Maximum Entropy.
Entropy, 2014

Standing Together for Reproducibility in Large-Scale Computing: Report on reproducibility@XSEDE.
CoRR, 2014

Experimental Computation and Visual Theorems.
Proceedings of the Mathematical Software - ICMS 2014, 2014

Mahler measures, short walks and log-sine integrals.
Theor. Comput. Sci., 2013

Structure Theory for Maximally Monotone Operators with Points of Continuity.
J. Optim. Theory Appl., 2013

Global convergence of a non-convex Douglas-Rachford iteration.
J. Glob. Optim., 2013

Three-Step and Four-Step Random Walk Integrals.
Exp. Math., 2013

Expectations on fractal sets.
Appl. Math. Comput., 2013

A Sinc that Sank.
Am. Math. Mon., 2012

Ancient Indian Square Roots: An Exercise in Forensic Paleo-Mathematics.
Am. Math. Mon., 2012

Copulas with maximum entropy.
Optim. Lett., 2012

Every maximally monotone operator of Fitzpatrick-Phelps type is actually of dense type.
Optim. Lett., 2012

Hand-to-hand combat with thousand-digit integrals.
J. Comput. Sci., 2012

Log-Sine Evaluations of Mahler Measures, II.
Integers, 2012

An Empirical Approach to the Normality of π.
Exp. Math., 2012

High-precision computation: Mathematical physics and dynamics.
Appl. Math. Comput., 2012

High-precision numerical integration: Progress and challenges.
J. Symb. Comput., 2011

Mahler measures, short walks and log-sine integrals: a case study in hybrid computation.
Proceedings of the SNC 2011, 2011

Special values of generalized log-sine integrals.
Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2011

The Douglas-Rachford Algorithm in the Absence of Convexity.
Proceedings of the Fixed-Point Algorithms for Inverse Problems in Science and Engineering, 2011

Entropic Regularization of the ℓ 0 Function.
Proceedings of the Fixed-Point Algorithms for Inverse Problems in Science and Engineering, 2011

L<sub><i>p</i></sub> Norms and the Sinc Function.
Am. Math. Mon., 2010

Fifty years of maximal monotonicity.
Optim. Lett., 2010

Advances in the theory of box integrals.
Math. Comput., 2010

Higher-Dimensional Box Integrals.
Exp. Math., 2010

Euler-Boole Summation Revisited.
Am. Math. Mon., 2009

Symbolic Fenchel Conjugation.
Math. Program., 2009

Resolution of the Quinn-Rand-Strogatz Constant of Nonlinear Physics.
Exp. Math., 2009

Hilbert's Inequality and Witten's Zeta-Function.
Am. Math. Mon., 2008

Surprising Sinc Sums and Integrals.
Am. Math. Mon., 2008

Effective Laguerre Asymptotics.
SIAM J. Numer. Anal., 2008

A Proof of a Recurrence for Bessel Moments.
Exp. Math., 2008

A Class of Dirichlet Series Integrals.
Am. Math. Mon., 2007

Asplund Decomposition of Monotone Operators.
SIAM J. Optim., 2007

Fitzpatrick Functions and Continuous Linear Monotone Operators.
SIAM J. Optim., 2007

Proximality and Chebyshev sets.
Optim. Lett., 2007

Integer Powers of Arcsin.
Int. J. Math. Math. Sci., 2007

Hypergeometric Forms for Ising-Class Integrals.
Exp. Math., 2007

A Proof of a Recursion for Bessel Moments
CoRR, 2007

The Coast-to-Coast Seminar and Remote Mathematical Collaboration.
Proceedings of the 21st Annual International Symposium on High Performance Computing Systems and Applications (HPCS 2007), 2007

Ten Problems in Experimental Mathematics.
Am. Math. Mon., 2006

Variational Methods in Convex Analysis.
J. Glob. Optim., 2006

Experimental Determination of Apéry-like Identities for ς(2n + 2).
Exp. Math., 2006

Symbolic computation of multidimensional Fenchel conjugates.
Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2006

Effective Bounds in Euler-Maclaurin-Based Quadrature (Summary for HPCS06).
Proceedings of the 20th Annual International Symposium on High Performance Computing Systems and Applications (HPCS 2006), 2006

The Experimental Mathematician: the Pleasure of Discovery and the Role of Proof.
Int. J. Comput. Math. Learn., 2005

Continued Fractions of Tails of Hypergeometric Series.
Am. Math. Mon., 2005

On the Ramanujan AGM Fraction, I: The Real-Parameter Case.
Exp. Math., 2004

On the Ramanujan AGM Fraction, II: The Complex-Parameter Case.
Exp. Math., 2004

Experimentation in mathematics - computational paths to discovery.
A K Peters, ISBN: 978-1-56881-136-9, 2004

Problem 11009.
Am. Math. Mon., 2003

Probability Distributions of Assets Inferred from Option Prices via the Principle of Maximum Entropy.
SIAM J. Optim., 2003

Bregman Monotone Optimization Algorithms.
SIAM J. Control. Optim., 2003

Dynamic Composition of Math Lessons.
J. Educ. Technol. Soc., 2003

Architecture to Support Dynamic Composition of Math Lesson Plans.
Proceedings of the 2003 ACM Symposium on Applied Computing (SAC), 2003

Managing Digital Mathematical Discourse.
Proceedings of the Mathematical Knowledge Management, Second International Conference, 2003

Mathematics by experiment - plausible reasoning in the 21st century.
A K Peters, ISBN: 978-1-56881-211-3, 2003

Antiproximinal Norms in Banach Spaces.
J. Approx. Theory, 2002

Generalized Trigonometric Functions: 10744.
Am. Math. Mon., 2001

Central Binomial Sums, Multiple Clausen Values, and Zeta Values.
Exp. Math., 2001

Challenges in mathematical computing.
Comput. Sci. Eng., 2001

Moments of the Poisson Distribution: 10738.
Am. Math. Mon., 2000

Surprise Maximization.
Am. Math. Mon., 2000

A convex dual approach to the computation of NMR complex spectra.
Math. Methods Oper. Res., 2000

On the Representations of xy + yz + ZX.
Exp. Math., 2000

Applications of integer relation algorithms.
Discret. Math., 2000

An EM-Algorithm for Dynamic SPECT.
IEEE Trans. Medical Imaging, 1999

Strong conical hull intersection property, bounded linear regularity, Jameson's property (G), and error bounds in convex optimization.
Math. Program., 1999

Null Sets and Essentially Smooth Lipschitz Functions.
SIAM J. Optim., 1998

A Chain Rule for Essentially Smooth Lipschitz Functions.
SIAM J. Optim., 1998

A nonconvex separation property in Banach spaces.
Math. Methods Oper. Res., 1998

Combinatorial Aspects of Multiple Zeta Values.
Electron. J. Comb., 1998

Mathematical publication on the Web.
SIGSAM Bull., 1998

On the Khintchine constant .
Math. Comput., 1997

Empirically Determined Apéry-Like Formulae for ζ(4n+3).
Exp. Math., 1997

Evaluations of k-fold Euler/Zagier sums: a compendium of results for arbitrary k.
Electron. J. Comb., 1997

The Encyclopedia of Integer Sequences (N. J. A. Sloane and Simon Plouffe).
SIAM Rev., 1996

On Projection Algorithms for Solving Convex Feasibility Problems.
SIAM Rev., 1996

Maximum Entropy Reconstruction Using Derivative Information, Part 1: Fisher Information and Convex Duality.
Math. Oper. Res., 1996

Evaluation of Triple Euler Sums.
Electron. J. Comb., 1996

Searching symbolically for Ape'ry-like formulae for values of the Riemann zeta function.
SIGSAM Bull., 1996

A Fast Heuristic Method for Polynomial Moment Problems with Boltzmann-Shannon Entropy.
SIAM J. Optim., 1995

Finding New Mathematical Identities with Supercomputers.
Proceedings of the Seventh SIAM Conference on Parallel Processing for Scientific Computing, 1995

Strong Rotundity and Optimization.
SIAM J. Optim., 1994

Uniform convergence for moment problems with Fermi-Dirac type entropies.
Math. Methods Oper. Res., 1994

Experimental Evaluation of Euler Sums.
Exp. Math., 1994

Partially-Finite Programming in L<sub>1</sub> and the Existence of Maximum Entropy Estimates.
SIAM J. Optim., 1993

On the failure of maximum entropy reconstruction for Fredholm equations and other infinite systems.
Math. Program., 1993

Partially finite convex programming, Part II: Explicit lattice models.
Math. Program., 1992

Partially finite convex programming, Part I: Quasi relative interiors and duality theory.
Math. Program., 1992

Convergence of Best Entropy Estimates.
SIAM J. Optim., 1991

Super efficiency in convex vector optimization.
ZOR Methods Model. Oper. Res., 1991

Generalized Concavity (Mordecai Avriel, Walter E. Diewert, Siegfried Schaible, and Israel Zang).
SIAM Rev., 1990

The Linear Order Complementarity Problem.
Math. Oper. Res., 1989

On Fan's minimax theorem.
Math. Program., 1986

A simple constraint qualification in infinite dimensional programming.
Math. Program., 1986

Two kinds of normality in vector optimization.
Math. Program., 1984

Adjoint Process Duality.
Math. Oper. Res., 1983

On the Existence of Pareto Efficient Points.
Math. Oper. Res., 1983

A note on the existence of subgradients.
Math. Program., 1982

Direct theorems in semi-infinite convex programming.
Math. Program., 1981

A note on perfect duality and limiting lagrangeans.
Math. Program., 1980

Multivalued convexity and optimization: A unified approach to inequality and equality constraints.
Math. Program., 1977

Fractional programming without differentiability.
Math. Program., 1976