Jonathan M. Borwein

According to our database1, Jonathan M. Borwein authored at least 129 papers between 1976 and 2018.

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

Timeline

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Bibliography

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

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

2017
Convergence Rate Analysis for Averaged Fixed Point Iterations in Common Fixed Point Problems.
SIAM Journal on Optimization, 2017

Continued Logarithms and Associated Continued Fractions.
Experimental Mathematics, 2017

Computer Discovery and Analysis of Large Poisson Polynomials.
Experimental Mathematics, 2017

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

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

A Variational Approach to Lagrange Multipliers.
J. Optimization Theory and Applications, 2016

Maximal Monotone Inclusions and Fitzpatrick Functions.
J. Optimization Theory and Applications, 2016

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

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

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

Relations for Nielsen polylogarithms.
Journal of Approximation Theory, 2015

Computation and theory of Mordell-Tornheim-Witten sums II.
Journal of Approximation Theory, 2015

Crandall's computation of the incomplete Gamma function and the Hurwitz zeta function, with applications to Dirichlet L-series.
Applied Mathematics and Computation, 2015

2014
On the Solution of Linear Mean Recurrences.
The American Mathematical Monthly, 2014

Deriving New Sinc Results from Old.
The American Mathematical Monthly, 2014

Pi Day Is Upon Us Again and We Still Do Not Know if Pi Is Normal.
The American Mathematical Monthly, 2014

Analysis of the Convergence Rate for the Cyclic Projection Algorithm Applied to Basic Semialgebraic Convex Sets.
SIAM Journal on Optimization, 2014

Some results on the convexity of the closure of the domain of a maximally monotone operator.
Optimization Letters, 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. Optimization Theory and Applications, 2014

Recent Results on Douglas-Rachford Methods for Combinatorial Optimization Problems.
J. Optimization Theory and Applications, 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

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

Structure Theory for Maximally Monotone Operators with Points of Continuity.
J. Optimization Theory and Applications, 2013

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

Three-Step and Four-Step Random Walk Integrals.
Experimental Mathematics, 2013

Expectations on fractal sets.
Applied Mathematics and Computation, 2013

2012
A Sinc that Sank.
The American Mathematical Monthly, 2012

Ancient Indian Square Roots: An Exercise in Forensic Paleo-Mathematics.
The American Mathematical Monthly, 2012

Copulas with maximum entropy.
Optimization Letters, 2012

Every maximally monotone operator of Fitzpatrick-Phelps type is actually of dense type.
Optimization Letters, 2012

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

An Empirical Approach to the Normality of π.
Experimental Mathematics, 2012

High-precision computation: Mathematical physics and dynamics.
Applied Mathematics and Computation, 2012

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

Special Values of Generalized Log-sine Integrals
CoRR, 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

2010
Lp Norms and the Sinc Function.
The American Mathematical Monthly, 2010

Fifty years of maximal monotonicity.
Optimization Letters, 2010

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

Higher-Dimensional Box Integrals.
Experimental Mathematics, 2010

2009
Euler-Boole Summation Revisited.
The American Mathematical Monthly, 2009

Symbolic Fenchel Conjugation.
Math. Program., 2009

Resolution of the Quinn-Rand-Strogatz Constant of Nonlinear Physics.
Experimental Mathematics, 2009

2008
Hilbert's Inequality and Witten's Zeta-Function.
The American Mathematical Monthly, 2008

Surprising Sinc Sums and Integrals.
The American Mathematical Monthly, 2008

Effective Laguerre Asymptotics.
SIAM J. Numerical Analysis, 2008

A Proof of a Recurrence for Bessel Moments.
Experimental Mathematics, 2008

2007
A Class of Dirichlet Series Integrals.
The American Mathematical Monthly, 2007

Asplund Decomposition of Monotone Operators.
SIAM Journal on Optimization, 2007

Fitzpatrick Functions and Continuous Linear Monotone Operators.
SIAM Journal on Optimization, 2007

Proximality and Chebyshev sets.
Optimization Letters, 2007

Integer Powers of Arcsin.
Int. J. Math. Mathematical Sciences, 2007

Hypergeometric Forms for Ising-Class Integrals.
Experimental Mathematics, 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

2006
Ten Problems in Experimental Mathematics.
The American Mathematical Monthly, 2006

Variational Methods in Convex Analysis.
J. Global Optimization, 2006

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

2005
The Experimental Mathematician: the Pleasure of Discovery and the Role of Proof.
I. J. Computers for Math. Learning, 2005

Continued Fractions of Tails of Hypergeometric Series.
The American Mathematical Monthly, 2005

2004
On the Ramanujan AGM Fraction, I: The Real-Parameter Case.
Experimental Mathematics, 2004

On the Ramanujan AGM Fraction, II: The Complex-Parameter Case.
Experimental Mathematics, 2004

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

2003
Problem 11009.
The American Mathematical Monthly, 2003

Probability Distributions of Assets Inferred from Option Prices via the Principle of Maximum Entropy.
SIAM Journal on Optimization, 2003

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

Dynamic Composition of Math Lessons.
Educational Technology & Society, 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

2002
Antiproximinal Norms in Banach Spaces.
Journal of Approximation Theory, 2002

2001
Generalized Trigonometric Functions: 10744.
The American Mathematical Monthly, 2001

Central Binomial Sums, Multiple Clausen Values, and Zeta Values.
Experimental Mathematics, 2001

Challenges in mathematical computing.
Computing in Science and Engineering, 2001

2000
Moments of the Poisson Distribution: 10738.
The American Mathematical Monthly, 2000

Surprise Maximization.
The American Mathematical Monthly, 2000

A convex dual approach to the computation of NMR complex spectra.
Math. Meth. of OR, 2000

On the Representations of xy + yz + ZX.
Experimental Mathematics, 2000

Applications of integer relation algorithms.
Discrete Mathematics, 2000

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

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

1998
Null Sets and Essentially Smooth Lipschitz Functions.
SIAM Journal on Optimization, 1998

A Chain Rule for Essentially Smooth Lipschitz Functions.
SIAM Journal on Optimization, 1998

A nonconvex separation property in Banach spaces.
Math. Meth. of OR, 1998

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

Mathematical publication on the Web.
ACM SIGSAM Bulletin, 1998

1997
On the Khintchine constant .
Math. Comput., 1997

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

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

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

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

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

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

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

1995
A Fast Heuristic Method for Polynomial Moment Problems with Boltzmann-Shannon Entropy.
SIAM Journal on Optimization, 1995

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

1994
Strong Rotundity and Optimization.
SIAM Journal on Optimization, 1994

Uniform convergence for moment problems with Fermi-Dirac type entropies.
Math. Meth. of OR, 1994

Experimental Evaluation of Euler Sums.
Experimental Mathematics, 1994

1993
Partially-Finite Programming in L1 and the Existence of Maximum Entropy Estimates.
SIAM Journal on Optimization, 1993

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

1992
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

1991
Convergence of Best Entropy Estimates.
SIAM Journal on Optimization, 1991

Super efficiency in convex vector optimization.
ZOR - Meth. & Mod. of OR, 1991

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

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

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

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

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

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

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

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

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

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

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

1976
Fractional programming without differentiability.
Math. Program., 1976


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