Jonathan Michael Borwein

Computational Theory and Mathematics · 1988–2014

A researcher in the Science corpus: 29 papers; trusts 25 researchers and is trusted by 49 researchers here, as inferred from the citation graph.

Subfields

• Computational Theory and Mathematics — 60 citations into it; #2,453 of 12,182 by trust here, #1,269 by citations
• Applied Mathematics — 30 citations into it; #1,736 of 7,620 by trust here, #904 by citations
• Numerical Analysis — 29 citations into it; #201 of 3,586 by trust here, #95 by citations
• Mathematical Physics — 28 citations into it; #5,661 of 8,562 by trust here, #4,785 by citations
• Geometry and Topology — 27 citations into it; #2,421 of 7,422 by trust here, #714 by citations
• Algebra and Number Theory — 15 citations into it; #2,687 of 2,864 by trust here, #902 by citations
• Optimization & Training — 13 citations into it
• Mathematical Optimization — 12 citations into it; #99 of 422 by trust here, #72 by citations

Whom Jonathan Michael Borwein trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Heinz H. Bauschke
2. Stephen Simons
3. Jean-Paul Penot
4. Dan Butnariu
5. Regina Sandra Burachik
6. Constantin Zalinescu
7. Frank Deutsch
8. Patrick L. Combettes
9. R. Tyrrell Rockafellar
10. A. S. Lewis

Who trusts Jonathan Michael Borwein overall

1. Francis R. Bach
2. Heinz H. Bauschke
3. Simeon Reich
4. Radu Ioan Bot
5. Shai Shalev-Shwartz
6. Charles L. Byrne
7. Isao Yamada
8. Mark W. Schmidt
9. Patrick L. Combettes
10. Victoria Martín-Márquez

Papers from Jonathan Michael Borwein's perspective

Ordered by how strongly the researchers Jonathan Michael Borwein trusts endorse each paper. Same corpus, a different order for every researcher.

1. Monotone Operators and the Proximal Point Algorithm
2. Proximité et dualité dans un espace hilbertien
3. The relevance of convex analysis for the study of monotonicity
4. An alternating projection that does not converge in norm
5. Totally Convex Functions for Fixed Points Computation and Infinite Dimensional Optimization
6. Maximal Monotone Operators, Convex Functions and a Special Family of Enlargements
7. Monotone Operators Representable by l.s.c. Convex Functions
8. Asymptotic Behavior of Relatively Nonexpansive Operators in Banach Spaces
9. On Projection Algorithms for Solving Convex Feasibility Problems
10. MAXIMAL MONOTONICITY, CONJUGATION AND THE DUALITY PRODUCT

Their papers

• Bregman Monotone Optimization Algorithms (2003) — 330 citations
• Joint and Separate Convexity of the Bregman Distance (2001) — 105 citations
• ESSENTIAL SMOOTHNESS, ESSENTIAL STRICT CONVEXITY, AND LEGENDRE FUNCTIONS IN BANACH SPACES (2001) — 319 citations
• Uniformly convex functions on Banach spaces (2008) — 49 citations
• Notions of Relative Interior in Banach Spaces (2003) — 121 citations
• Fitzpatrick functions, cyclic monotonicity and Rockafellar's antiderivative (2007) — 74 citations
• A characterization of quasiconvex vector-valued functions (2002) — 56 citations
• PSEUDO-MATHEMATICS AND FINANCIALCHARLATANISM: THE EFFECTS OF BACKTEST OVERFITTING ONOUT-OF-SAMPLE PERFORMANCE (2014) — 153 citations
• Neverending Fractions: An Introduction to Continued Fractions (2014) — 56 citations
• CLOSED FORMS: WHAT THEY ARE AND WHY WE CARE (2013) — 114 citations
• Some arithmetic properties of short random walk integrals (2011) — 56 citations
• On difference convexity of locally Lipschitz functions (2011) — 64 citations
• Densities of Short Uniform Random Walks (2011) — 79 citations
• A Characterization of Bregman Firmly Nonexpansive Operators Using a New Monotonicity Concept (2011) — 59 citations
• Convex Functions: Constructions, Characterizations and Counterexamples (2010) — 371 citations
• Elliptic integral evaluations of Bessel moments and applications (2008) — 152 citations
• Maximality of sums of two maximal monotone operators in general Banach space (2007) — 66 citations
• Evaluations of binomial series (2005) — 51 citations
• Parametric Euler sum identities (2005) — 65 citations
• Techniques of variational analysis (2005) — 274 citations