Convex Analysis and Nonlinear Optimization: Theory and Examples / Edition 2
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Convex Analysis and Nonlinear Optimization: Theory and Examples / Edition 2

by Jonathan Borwein, Adrian S. Lewis
     
 

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ISBN-10: 0387295704

ISBN-13: 9780387295701

Pub. Date: 11/28/2005

Publisher: Springer New York

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

Overview

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.

Product Details

ISBN-13:
9780387295701
Publisher:
Springer New York
Publication date:
11/28/2005
Series:
CMS Books in Mathematics Series
Edition description:
2nd ed. 2006
Pages:
310
Product dimensions:
6.10(w) x 9.25(h) x 0.03(d)

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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