Authors:
- Reviews the increasingly sophisticated state of computational optimization techniques
- Provides an accessible account of convex analysis and its applications and extensions
- New Edition adds material on semismooth optimization, as well as several new proofs
- The self-contained main body of the book is supplemented with optional exercises at the end of each section
Part of the book series: CMS Books in Mathematics (CMSBM)
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Table of contents (10 chapters)
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Front Matter
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Back Matter
About this book
Reviews
From the reviews:
MATHEMATICAL REVIEWS
"The present book gives a concise treatment of the area, aiming to show the relevance in particular of new developments in nonsmooth analysis to optimization theory…The book is of a manageable size and as such should appeal to the student. Further, the proofs are generally short and snappy, revealing the power of the abstract structural approach and fruitful interplay of geometrical and topological ideas. However, considerable ground is covered and, as a graduate text should, it develops the subject up to the frontiers of current research, giving an idea of areas for further exploration…This text will give impetus to the teaching of analysis because it makes evident its significant applications in optimization. But it will also bring added attraction to the study of optimization because it reveals so much of its abstract structural base."
"The book is divided into 11 chapters and provides a comprehensive presentation of the main features of convex analysis and nonlinear optimisation. Each result is sustained by a set of theorems, propositions and corollaries and includes rigorous proofs and clarifying discussions. They are complemented by a series of theoretical exercises. … This book is warmly recommended for an advanced course in analysis for mathematicians or as a first graduate course for students involved with optimization theory." (Carlos Narciso Bouza Herrera, Zentralblatt MATH, Vol. 1116 (18), 2007)
Authors and Affiliations
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Centre for Experimental and Constructive Mathematics, Department of Mathematics and Statistics, Simon Fraser University, Burnaby, Canada
Jonathan M. Borwein
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Department of Combinatorics and Optimization, University of Waterloo, Waterloo, Canada
Adrian S. Lewis
Bibliographic Information
Book Title: Convex Analysis and Nonlinear Optimization
Book Subtitle: Theory and Examples
Authors: Jonathan M. Borwein, Adrian S. Lewis
Series Title: CMS Books in Mathematics
DOI: https://doi.org/10.1007/978-1-4757-9859-3
Publisher: Springer New York, NY
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media New York 2000
eBook ISBN: 978-1-4757-9859-3Published: 29 June 2013
Series ISSN: 1613-5237
Series E-ISSN: 2197-4152
Edition Number: 1
Number of Pages: X, 273
Topics: Analysis