2020, Springer Proceedings in Mathematics & Statistics, ISBN 9783030365677, Volume 313, 447

.... A conference was held 25 -29 September 2017 at Noah's On the Beach, Newcastle, Australia, to commemorate the life and work of Jonathan M...

Mathematics Education | Mathematics | Number Theory | Quantitative Finance | Analysis

Mathematics Education | Mathematics | Number Theory | Quantitative Finance | Analysis

eBook

2.
Full Text
Computational and Analytical Mathematics

: In Honor of Jonathan Borwein's 60th Birthday

2013, 2013, Springer Proceedings in Mathematics & Statistics, ISBN 9781461476207, Volume 50, 710

The research of Jonathan Borwein has had a profound impact on optimization, functional analysis, operations research, mathematical programming, number theory, and experimental mathematics...

Mathematical analysis | Numerical analysis | Operator Theory | Mathematics | Operations Research, Management Science | Number Theory | Functional Analysis | Number theory

Mathematical analysis | Numerical analysis | Operator Theory | Mathematics | Operations Research, Management Science | Number Theory | Functional Analysis | Number theory

eBook

2010, Encyclopedia of mathematics and its applications, ISBN 0521850053, Volume 109, x, 521

Like differentiability, convexity is a natural and powerful property of functions that plays a significant role in many areas of mathematics, both pure and...

Geometry, Non-Euclidean | Convex functions | Banach spaces

Geometry, Non-Euclidean | Convex functions | Banach spaces

Book

2014, Australian Mathematical Society lecture series, ISBN 0521186498, Volume 23, x, 212

Despite their classical nature, continued fractions are a neverending research area, with a body of results accessible enough to suit a wide audience, from...

Processes, Infinite | Fractions | Continued fractions

Processes, Infinite | Fractions | Continued fractions

Book

2000, CMS books in mathematics, ISBN 9780387989402, Volume 3., x, 273

Book

2006, 2nd ed., CMS books in mathematics, ISBN 0387295704, Volume 3., xii, 310

Book

The American mathematical monthly, ISSN 1930-0972, 2018, Volume 115, Issue 2, pp. 125 - 137

We explore a variety of pleasing connections between analysis, number theory, and operator theory, while revisiting a number of beautiful inequalities...

Integers | Mathematical theorems | Mathematical integrals | Mathematical constants | Mathematical inequalities | Mathematical functions | Polynomials | Number theory | MATHEMATICS | Theorems (Mathematics) | Tests, problems and exercises | Functions, Zeta

Integers | Mathematical theorems | Mathematical integrals | Mathematical constants | Mathematical inequalities | Mathematical functions | Polynomials | Number theory | MATHEMATICS | Theorems (Mathematics) | Tests, problems and exercises | Functions, Zeta

Journal Article

2004, ISBN 1568811365, x, 357

Book

2009, ISBN 9781568813431, xi, 158

Book

Mathematical Programming, ISSN 0025-5610, 3/2018, Volume 168, Issue 1, pp. 11 - 53

...
Jonathan M. Borwein 1 · Ohad Giladi 1
Received: 14 July 2015 / Accepted: 1 April 2016 / Published online: 30 April 2016
© Springer and Mathematical Programming Society...

Theoretical, Mathematical and Computational Physics | Hahn–Banach theory | 52A01 | Fenchel duality | Mathematics | Monoid | Mathematical Methods in Physics | Semimodule | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | Vector-valued convexity | Convexity | Combinatorics | 49J27 | 46N10 | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | CONTINUITY | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Hahn-Banach theory | Vector spaces | Monoids | Convex analysis

Theoretical, Mathematical and Computational Physics | Hahn–Banach theory | 52A01 | Fenchel duality | Mathematics | Monoid | Mathematical Methods in Physics | Semimodule | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | Vector-valued convexity | Convexity | Combinatorics | 49J27 | 46N10 | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | CONTINUITY | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Hahn-Banach theory | Vector spaces | Monoids | Convex analysis

Journal Article

Journal of Optimization Theory and Applications, ISSN 0022-3239, 1/2014, Volume 160, Issue 1, pp. 1 - 29

...J Optim Theory Appl (2014) 160:1–29
DOI 10.1007/s10957-013-0381-x
A Cyclic Douglas–Rachford Iteration Scheme
Jonathan M. Borwein · Matthew K. Tam
Received: 12...

Asymptotic regularity | Mathematics | Theory of Computation | Projections | Nonexpansive map | Optimization | Douglas–Rachford method | Convex feasibility problem | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Fixed points | Applications of Mathematics | Engineering, general | Firmly nonexpansive map | Parallelization | Douglas-Rachford method | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | ALGORITHM | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | PHASE RETRIEVAL | PRODUCTS | SETS | CONVERGENCE | HILBERT-SPACE | OPERATORS | Studies | Mathematical analysis | Asymptotic methods | Norms | Projection | Feasibility | Hilbert space | Subspaces | Iterative methods | Convergence

Asymptotic regularity | Mathematics | Theory of Computation | Projections | Nonexpansive map | Optimization | Douglas–Rachford method | Convex feasibility problem | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Fixed points | Applications of Mathematics | Engineering, general | Firmly nonexpansive map | Parallelization | Douglas-Rachford method | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | ALGORITHM | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | PHASE RETRIEVAL | PRODUCTS | SETS | CONVERGENCE | HILBERT-SPACE | OPERATORS | Studies | Mathematical analysis | Asymptotic methods | Norms | Projection | Feasibility | Hilbert space | Subspaces | Iterative methods | Convergence

Journal Article

2008, 2nd ed., ISBN 9781568814421, xi, 377 p., [4] p. of plates

Book

Journal of optimization theory and applications, ISSN 1573-2878, 2015, Volume 171, Issue 3, pp. 727 - 756

... to Lagrange Multipliers
Jonathan M. Borwein 1 · Qiji J. Zhu 2
Received: 3 November 2014 / Accepted: 12 May 2015 / Published online: 27 May 2015
© Springer Science...

Mathematics | Theory of Computation | Variational method | Optimization | Constrained optimization | Lagrange multiplier | Nonsmooth analysis | 90C46 | Calculus of Variations and Optimal Control; Optimization | 90C25 | Convex duality | 49N15 | Applications of Mathematics | Engineering, general | Operation Research/Decision Theory | MATHEMATICS, APPLIED | THEOREM | PRINCIPLE | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | QUALIFICATION | CONSTRAINED OPTIMIZATION PROBLEMS | SMOOTH BANACH-SPACES | OPTIMALITY | Studies | Mathematical models | Convex analysis | Lagrange multipliers

Mathematics | Theory of Computation | Variational method | Optimization | Constrained optimization | Lagrange multiplier | Nonsmooth analysis | 90C46 | Calculus of Variations and Optimal Control; Optimization | 90C25 | Convex duality | 49N15 | Applications of Mathematics | Engineering, general | Operation Research/Decision Theory | MATHEMATICS, APPLIED | THEOREM | PRINCIPLE | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | QUALIFICATION | CONSTRAINED OPTIMIZATION PROBLEMS | SMOOTH BANACH-SPACES | OPTIMALITY | Studies | Mathematical models | Convex analysis | Lagrange multipliers

Journal Article

Set-Valued and Variational Analysis, ISSN 1877-0533, 9/2017, Volume 25, Issue 3, pp. 467 - 479

... of Michel Th´ era at 70
Jonathan M. Borwein 1
Received: 26 February 2016 / Accepted: 20 July 2016 / Published online: 5 August 2016
© Springer Science+Business Media...

Generalisation and unification | Secondary 49J52 | Examples and counter-examples | 90C25 | Analysis | Geometric fixed point theory | Primary 47H09 | Probability Theory and Stochastic Processes | Non-smooth analysis | Mathematics | MATHEMATICS, APPLIED | INVEXITY | MAPPINGS | PROOF

Generalisation and unification | Secondary 49J52 | Examples and counter-examples | 90C25 | Analysis | Geometric fixed point theory | Primary 47H09 | Probability Theory and Stochastic Processes | Non-smooth analysis | Mathematics | MATHEMATICS, APPLIED | INVEXITY | MAPPINGS | PROOF

Journal Article

The Ramanujan journal, ISSN 1572-9303, 2017, Volume 45, Issue 2, pp. 413 - 432

...Ramanujan J (2018) 45:413–432
https://doi.org/10.1007/s11139-017-9890-9
Derivatives and fast evaluation of the T ornheim zeta
function
Jonathan M. Borwein 1...

Mordell–Tornheim double series | Secondary: 33B20 | Functions of a Complex Variable | Field Theory and Polynomials | Mathematics | Primary: 11M41 | Tornheim zeta function | Incomplete gamma function | Polylogarithm | Fourier Analysis | 33B30 | Bernoulli polynomials | Number Theory | Combinatorics | MATHEMATICS | DOUBLE SUMS | Mordell-Tornheim double series

Mordell–Tornheim double series | Secondary: 33B20 | Functions of a Complex Variable | Field Theory and Polynomials | Mathematics | Primary: 11M41 | Tornheim zeta function | Incomplete gamma function | Polylogarithm | Fourier Analysis | 33B30 | Bernoulli polynomials | Number Theory | Combinatorics | MATHEMATICS | DOUBLE SUMS | Mordell-Tornheim double series

Journal Article

SIAM journal on optimization, ISSN 1095-7189, 2017, Volume 27, Issue 1, pp. 1 - 33

In this paper, we establish sublinear and linear convergence of fixed point iterations generated by averaged operators in a Hilbert space. Our results are...

Convergence rate | Averaged operator | Hölder regularity | Douglas-Rachford algorithm | Semi-algebraic | Fixed point iteration | CONVEX FEASIBILITY PROBLEMS | MATHEMATICS, APPLIED | fixed point iteration | semi-algebraic | LINEAR CONVERGENCE | averaged operator | METRIC SUBREGULARITY | SETS | convergence rate | Holder regularity | ALTERNATING PROJECTIONS | HILBERT-SPACE | OPERATORS

Convergence rate | Averaged operator | Hölder regularity | Douglas-Rachford algorithm | Semi-algebraic | Fixed point iteration | CONVEX FEASIBILITY PROBLEMS | MATHEMATICS, APPLIED | fixed point iteration | semi-algebraic | LINEAR CONVERGENCE | averaged operator | METRIC SUBREGULARITY | SETS | convergence rate | Holder regularity | ALTERNATING PROJECTIONS | HILBERT-SPACE | OPERATORS

Journal Article

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