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Convex Analysis and Nonlinear Optimization

Theory and Examples

Convex Analysis and Nonlinear Optimization by Jonathan Borwein
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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.

Springer New York; May 2010
315 pages; ISBN 9780387312569
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Title: Convex Analysis and Nonlinear Optimization
Author: Jonathan Borwein; Adrian S. Lewis
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