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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... Smooth Sets . 218 228 233 10 Postscript : Infinite Versus Finite Dimensions 239 10.1 Introduction . . 239 10.2 Finite Dimensionality 241 10.3 Counterexamples and Exercises 10.4 Notes on Previous Chapters 244 • 248 11 List of Results and ...
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Contents
Chapter 1 Background | 1 |
Chapter 2 Inequality Constraints | 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 |