Convex analysis and nonlinear optimization : theory and examples
著者
書誌事項
Convex analysis and nonlinear optimization : theory and examples
(CMS books in mathematics)
Springer Science+Business Media, c2006
2nd ed
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注記
Softcover version of original hardcover edition 2006
Includes bibliographical references (p. 275-288) and index
内容説明・目次
内容説明
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.
目次
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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