Convex analysis and nonlinear optimization : theory and examples
Author(s)
Bibliographic Information
Convex analysis and nonlinear optimization : theory and examples
(CMS books in mathematics)
Springer Science+Business Media, c2006
2nd ed
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Note
Softcover version of original hardcover edition 2006
Includes bibliographical references (p. 275-288) and index
Description and Table of Contents
Description
Optimization is a rich and thriving mathematical discipline, and the underlying theory of current computational optimization techniques grows ever more sophisticated. This book aims to provide a concise, accessible account of convex analysis and its applications and extensions, for a broad audience. Each section concludes with an often extensive set of optional exercises. This new edition adds material on semismooth optimization, as well as several new proofs.
Table of Contents
Background.- Inequality constraints.- Fenchel duality.- Convex analysis.- Special cases.- Nonsmooth optimization.- The Karush-Kuhn-Tucker Theorem.- Fixed points.- Postscript: infinite versus finite dimensions.- List of results and notation.
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