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Über dieses Buch

The research of Jonathan Borwein has had a profound impact on optimization, functional analysis, operations research, mathematical programming, number theory, and experimental mathematics. Having authored more than a dozen books and more than 300 publications, Jonathan Borwein is one of the most productive Canadian mathematicians ever. His research spans pure, applied, and computational mathematics as well as high performance computing, and continues to have an enormous impact: MathSciNet lists more than 2500 citations by more than 1250 authors, and Borwein is one of the 250 most cited mathematicians of the period 1980-1999. He has served the Canadian Mathematics Community through his presidency (2000–02) as well as his 15 years of editing the CMS book series.

Jonathan Borwein’s vision and initiative have been crucial in initiating and developing several institutions that provide support for researchers with a wide range of scientific interests. A few notable examples include the Centre for Experimental and Constructive Mathematics and the IRMACS Centre at Simon Fraser University, the Dalhousie Distributed Research Institute at Dalhousie University, the Western Canada Research Grid, and the Centre for Computer Assisted Research Mathematics and its Applications, University of Newcastle.

The workshops that were held over the years in Dr. Borwein’s honor attracted high-caliber scientists from a wide range of mathematical fields. This present volume is an outgrowth of the workshop on ‘Computational and Analytical Mathematics’ held in May 2011 in celebration of Dr. Borwein’s 60th Birthday. The collection contains various state-of-the-art research manuscripts and surveys presenting contributions that have risen from the conference, and is an excellent opportunity to survey state-of-the-art research and discuss promising research directions and approaches.

Inhaltsverzeichnis

Frontmatter

2013 | OriginalPaper | Buchkapitel

Chapter 1. Normal Numbers and Pseudorandom Generators

David H. Bailey, Jonathan M. Borwein

2013 | OriginalPaper | Buchkapitel

Chapter 2. New Demiclosedness Principles for (Firmly) Nonexpansive Operators

Heinz H. Bauschke

2013 | OriginalPaper | Buchkapitel

Chapter 3. Champernowne’s Number, Strong Normality, and the X Chromosome

Adrian Belshaw, Peter Borwein

2013 | OriginalPaper | Buchkapitel

Chapter 4. Optimality Conditions for Semivectorial Bilevel Convex Optimal Control Problems

Henri Bonnel, Jacqueline Morgan

2013 | OriginalPaper | Buchkapitel

Chapter 5. Monotone Operators Without Enlargements

Jonathan M. Borwein, Regina S. Burachik, Liangjin Yao

2013 | OriginalPaper | Buchkapitel

Chapter 6. A Brøndsted–Rockafellar Theorem for Diagonal Subdifferential Operators

Radu Ioan Boţ, Ernö Robert Csetnek

2013 | OriginalPaper | Buchkapitel

Chapter 7. A q-Analog of Euler’s Reduction Formula for the Double Zeta Function

David M. Bradley, Xia Zhou

2013 | OriginalPaper | Buchkapitel

Chapter 8. Fast Computation of Bernoulli, Tangent and Secant Numbers

Richard P. Brent, David Harvey

2013 | OriginalPaper | Buchkapitel

Chapter 9. Monotone Operator Methods for Nash Equilibria in Non-potential Games

Luis M. Briceño-Arias, Patrick L. Combettes

2013 | OriginalPaper | Buchkapitel

Chapter 10. Compactness, Optimality, and Risk

B. Cascales, J. Orihuela, M. Ruiz Galán

2013 | OriginalPaper | Buchkapitel

Chapter 11. Logarithmic and Complex Constant Term Identities

Tom Chappell, Alain Lascoux, S. Ole Warnaar, Wadim Zudilin

2013 | OriginalPaper | Buchkapitel

Chapter 12. Preprocessing and Regularization for Degenerate Semidefinite Programs

Yuen-Lam Cheung, Simon Schurr, Henry Wolkowicz

2013 | OriginalPaper | Buchkapitel

Chapter 13. The Largest Roots of the Mandelbrot Polynomials

Robert M. Corless, Piers W. Lawrence

2013 | OriginalPaper | Buchkapitel

Chapter 14. On the Fractal Distribution of Brain Synapses

Richard Crandall

2013 | OriginalPaper | Buchkapitel

Chapter 15. Visible Points in Convex Sets and Best Approximation

Frank Deutsch, Hein Hundal, Ludmil Zikatanov

2013 | OriginalPaper | Buchkapitel

Chapter 16. On Derivative Criteria for Metric Regularity

Asen L. Dontchev, Hélène Frankowska

2013 | OriginalPaper | Buchkapitel

Chapter 17. Five Classes of Monotone Linear Relations and Operators

Mclean R. Edwards

2013 | OriginalPaper | Buchkapitel

Chapter 18. Upper Semicontinuity of Duality and Preduality Mappings

J. R. Giles

2013 | OriginalPaper | Buchkapitel

Chapter 19. Convexity and Variational Analysis

A. D. Ioffe

2013 | OriginalPaper | Buchkapitel

Chapter 20. Generic Existence of Solutions and Generic Well-Posedness of Optimization Problems

P. S. Kenderov, J. P. Revalski

2013 | OriginalPaper | Buchkapitel

Chapter 21. Legendre Functions Whose Gradients Map Convex Sets to Convex Sets

Alexander Knecht, Jon Vanderwerff

2013 | OriginalPaper | Buchkapitel

Chapter 22. On the Convergence of Iteration Processes for Semigroups of Nonlinear Mappings in Banach Spaces

W. M. Kozlowski, Brailey Sims

2013 | OriginalPaper | Buchkapitel

Chapter 23. Techniques and Open Questions in Computational Convex Analysis

Yves Lucet

2013 | OriginalPaper | Buchkapitel

Chapter 24. Existence and Approximation of Fixed Points of Right Bregman Nonexpansive Operators

Victoria Martín-Márquez, Simeon Reich, Shoham Sabach

2013 | OriginalPaper | Buchkapitel

Chapter 25. Primal Lower Nice Functions and Their Moreau Envelopes

Marc Mazade, Lionel Thibault

2013 | OriginalPaper | Buchkapitel

Chapter 26. Bundle Method for Non-Convex Minimization with Inexact Subgradients and Function Values

Dominikus Noll

2013 | OriginalPaper | Buchkapitel

Chapter 27. Convergence of Linesearch and Trust-Region Methods Using the Kurdyka–Łojasiewicz Inequality

Dominikus Noll, Aude Rondepierre

2013 | OriginalPaper | Buchkapitel

Chapter 28. Strong Duality in Conic Linear Programming: Facial Reduction and Extended Duals

Gábor Pataki

2013 | OriginalPaper | Buchkapitel

Chapter 29. Towards a New Era in Subdifferential Analysis?

Jean-Paul Penot

2013 | OriginalPaper | Buchkapitel

Chapter 30. Modular Equations and Lattice Sums

Mathew Rogers, Boonrod Yuttanan

2013 | OriginalPaper | Buchkapitel

Chapter 31. An Epigraph-Based Approach to Sensitivity Analysis in Set-Valued Optimization

Douglas E. Ward, Stephen E. Wright
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