Convex Analysis and Nonlinear Optimization

Theory and Examples

Jonathan M. Borwein, Adrian S. Lewis - Collection CMS Books in Mathematics

310 pages, parution le 30/04/2005 (2^eme édition)

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Résumé

Optimization is a rich and thriving mathematical discipline. The theory underlying current computational optimization techniques grows ever more sophisticated. The powerful and elegant language of convex analysis unifies much of this theory. The aim of this book is to provide a concise, accessible account of convex analysis and its applications and extensions, for a broad audience. It can serve as a teaching text, at roughly the level of first year graduate students. While the main body of the text is self-contained, each section concludes with an often extensive set of optional exercises. The new edition adds material on semismooth optimization, as well as several new proofs that will make this book even more self-contained.

Sommaire

Preface
Background
Inequality Constraints
Fenchel Duality
Convex Analysis
Special Cases
Nonsmooth Optimization
Karush-Kuhn-Tucker Theory
Fixed Points
More Nonsmooth Structure
Postscript: Infinite Versus Finite Dimensions
List of Results and Notation
Index

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Jonathan M. Borwein, Adrian S. Lewis
Collection	CMS Books in Mathematics
Parution	30/04/2005
Édition	2^eme édition
Nb. de pages	310
Format	16 x 24
Couverture	Relié
Poids	591g
Intérieur	Noir et Blanc
EAN13	9780387295701
ISBN13	978-0-387-29570-1