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Computational and analytical mathematics : in honor of Jonathan Borwein's 60th Birthday

Author: Jonathan M Borwein; David H Bailey
Publisher: New York : Springer, 2013.
Series: Springer proceedings in mathematics & statistics, v.50.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
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, Dr. Borwein is one of the most productive Canadian mathematicians ever. His research spans pure, applied, and computational mathematics as well as high  Read more...
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Details

Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Jonathan M Borwein; David H Bailey
ISBN: 9781461476214 1461476216
OCLC Number: 859401291
Description: 1 online resource (xv, 701 pages) : illustrations.
Contents: Normal Numbers and Pseudorandom Generators / David H. Bailey and Jonathan M. Borwein --
New Demiclosedness Principles for (Firmly) Nonexpansive Operators / Heinz H. Bauschke --
Champernowne's Number, Strong Normality, and the X Chromosome / Adrian Belshaw and Peter Borwein --
Optimality Conditions for Semivectorial Bilevel Convex Optimal Control Problems / Henri Bonnel and Jacqueline Morgan --
Monotone Operators Without Enlargements / Jonathan M. Borwein and Regina S. Burachik --
A Brøndsted-Rockafellar Theorem for Diagonal Subdifferential Operators / Radu Ioan Boţ and Ernö Robert Csetnek --
A q-Analog of Euler's Reduction Formula for the Double Zeta Function / David M. Bradley and Xia Zhou --
Fast Computation of Bernoulli, Tangent and Secant Numbers / Richard P. Brent and David Harvey --
Monotone Operator Methods for Nash Equilibria in Non-potential Games / Luis M. Briceño-Arias and Patrick L. Combettes --
Compactness, Optimality, and Risk / B. Cascales, J. Orihuela and M. Ruiz Galán --
Logarithmic and Complex Constant Term Identities / Tom Chappell, Alain Lascoux and S. Ole Warnaar --
Preprocessing and Regularization for Degenerate Semidefinite Programs / Yuen-Lam Cheung, Simon Schurr and Henry Wolkowicz --
The Largest Roots of the Mandelbrot Polynomials / Robert M. Corless and Piers W. Lawrence --
On the Fractal Distribution of Brain Synapses / Richard Crandall --
Visible Points in Convex Sets and Best Approximation / Frank Deutsch, Hein Hundal and Ludmil Zikatanov --
On Derivative Criteria for Metric Regularity / Asen L. Dontchev and Hélène Frankowska --
Five Classes of Monotone Linear Relations and Operators / Mclean R. Edwards --
Upper Semicontinuity of Duality and Preduality Mappings / J. R. Giles --
Convexity and Variational Analysis / A. D. Ioffe --
Generic Existence of Solutions and Generic Well-Posedness of Optimization Problems / P. S. Kenderov and J. P. Revalski --
Legendre Functions Whose Gradients Map Convex Sets to Convex Sets / Alexander Knecht and Jon Vanderwerff --
On the Convergence of Iteration Processes for Semigroups of Nonlinear Mappings in Banach Spaces / W. M. Kozlowski and Brailey Sims --
Techniques and Open Questions in Computational Convex Analysis / Yves Lucet --
Existence and Approximation of Fixed Points of Right Bregman Nonexpansive Operators / Victoria Martín-Márquez and Simeon Reich --
Primal Lower Nice Functions and Their Moreau Envelopes / Marc Mazade and Lionel Thibault --
Bundle Method for Non-Convex Minimization with Inexact Subgradients and Function Values / Dominikus Noll --
Convergence of Linesearch and Trust-Region Methods Using the Kurdyka-Łojasiewicz Inequality / Dominikus Noll and Aude Rondepierre --
Strong Duality in Conic Linear Programming: Facial Reduction and Extended Duals / Gábor Pataki --
Towards a New Era in Subdifferential Analysis? / Jean-Paul Penot --
Modular Equations and Lattice Sums / Mathew Rogers and Boonrod Yuttanan --
An Epigraph-Based Approach to Sensitivity Analysis in Set-Valued Optimization / Douglas E. Ward and Stephen E. Wright.
Series Title: Springer proceedings in mathematics & statistics, v.50.
Responsibility: David H. Bailey [and 6 others], editors.

Abstract:

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, Dr. 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 2002) 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 entitled Computational and Analytical Mathematics, held in May 2011 in celebration of Jonathan 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.

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