Convex Analysis and Nonlinear Optimization: Theory and ExamplesOptimization 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. |
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Theory and Examples Jonathan Borwein, Adrian S. Lewis. CMS Books in Mathematics Jonathan M. Borwein Adrian S. Lewis Convex Analysis and Nonlinear Optimization Theory and Examples Second Edition Canadian Mathematical Society Société ...
Theory and Examples Jonathan Borwein, Adrian S. Lewis. Jonathan M. Borwein Adrian S. Lewis Convex Analysis and Nonlinear Optimization Theory and Examples Second Edition Springer Faculty of Computer Science Dalhousie University 6050 ...
... examples . The powerful and elegant language of convex analysis unifies much of this theory . Hence our aim of writing a concise , accessible account of convex analysis and its applications and extensions , for a broad audience . For ...
Theory and Examples Jonathan Borwein, Adrian S. Lewis. We try to be succinct rather than systematic , avoiding becoming bogged down in technical details . Our style is relatively informal ; for example , the text of each section creates ...
Theory and Examples Jonathan Borwein, Adrian S. Lewis. Preface to the Second Edition Since the publication of the First ... examples . After a new sequence of exercises ending Chapter 8 with a concise approach to monotone operator theory ...
Contents
1 | |
15 | |
Chapter 3 Fenchel Duality | 33 |
Chapter 4 Convex Analysis | 65 |
Chapter 5 Special Cases | 97 |
Chapter 6 Nonsmooth Optimization | 123 |
Chapter 7 KarushKuhnTucker Theory | 153 |
Chapter 8 Fixed Points | 179 |
Chapter 9 More N onsmooth Structure | 213 |
Infinite Versus Finite Dimensions | 239 |
Chapter 11 List of Results and Notation | 253 |
Bibliography | 275 |
Index | 289 |
Other editions - View all
Convex Analysis and Nonlinear Optimization: Theory and Examples Jonathan M. Borwein,Adrian S. Lewis No preview available - 2000 |