## 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 M. Borwein, Adrian S. Lewis. CMS Books in

Mathematics Jonathan M. Borwein Adrian S. Lewis Convex Analysis and

Nonlinear Optimization Theory and

**Examples**go-log "./ © Canadian

Mathematical Society ...

Theory and

**Examples**Jonathan M. Borwein, Adrian S. Lewis. Ouvrages

demathématiques dela SMC 1 HERMAN/KUCERA/SIMSA Equations and

Inequalities 2 ARNOLD Abelian Groups and Representations of Finite Partially

Ordered Sets 3 ...

Theory and

**Examples**Jonathan M. Borwein, Adrian S. Lewis. Convex Analysis

and Nonlinear Optimization Theory and

**Examples**#. # Springer Centre for

Experimental Department of Combinatorics and Constructive Mathematics and.

Theory and

**Examples**Jonathan M. Borwein, Adrian S. Lewis. Preface

Optimization is a rich and thriving mathematical discipline. Properties of

minimizers and maximizers of functions rely intimately on a wealth of techniques

from mathematical ...

Our style is relatively informal; for

**example**, the text of each section creates the

context for many of the result statements. We value the variety of independent,

self-contained approaches over a single, unified, sequential development. We

hope ...

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### Contents

15 | |

Fenchel Duality | 33 |

Convex Analysis | 65 |

Special Cases | 97 |

Nonsmooth Optimization | 123 |

KarushKuhnTucker Theory | 153 |

Fixed Points | 179 |

Infinite Versus Finite Dimensions | 209 |

List of Results and Notation | 221 |

Bibliography | 241 |

Index | 253 |

### Other editions - View all

Convex Analysis and Nonlinear Optimization: Theory and Examples Jonathan M. Borwein,Adrian S. Lewis No preview available - 2000 |