Convex analysis and nonlinear optimization : theory and examples

書誌事項

Convex analysis and nonlinear optimization : theory and examples

Jonathan M. Borwein, Adrian S. Lewis

(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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詳細情報

  • NII書誌ID(NCID)
    BB29622422
  • ISBN
    • 9781441921277
  • 出版国コード
    gw
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    New York, N.Y.
  • ページ数/冊数
    xii, 310 p.
  • 大きさ
    24 cm
  • 分類
  • 親書誌ID
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