Convex analysis and nonlinear optimization : theory and examples

Bibliographic Information

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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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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Details
  • NCID
    BB29622422
  • ISBN
    • 9781441921277
  • Country Code
    gw
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    New York, N.Y.
  • Pages/Volumes
    xii, 310 p.
  • Size
    24 cm
  • Classification
  • Parent Bibliography ID
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