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Cover: 9781441921277 | Convex Analysis and Nonlinear Optimization | Theory and Examples | xii
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Convex Analysis and Nonlinear Optimization
Theory and Examples
Taschenbuch von Adrian S. Lewis (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Zusammenfassung
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
Inhaltsverzeichnis
Background.- Inequality constraints.- Fenchel duality.- Convex analysis.- Special cases.- Nonsmooth optimization.- The Karush-Kuhn-Tucker Theorem.- Fixed points.- Postscript: infinite versus finite dimensions.- List of results and notation.
Details
Erscheinungsjahr: 2010
Fachbereich: Analysis
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xii
310 S.
ISBN-13: 9781441921277
ISBN-10: 1441921273
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Lewis, Adrian S.
Borwein, Jonathan
Auflage: Softcover reprint of hardcover 2nd edition 2006
Hersteller: Springer US
Springer New York
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 18 mm
Von/Mit: Adrian S. Lewis (u. a.)
Erscheinungsdatum: 01.12.2010
Gewicht: 0,493 kg
Artikel-ID: 107152562
Zusammenfassung
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
Inhaltsverzeichnis
Background.- Inequality constraints.- Fenchel duality.- Convex analysis.- Special cases.- Nonsmooth optimization.- The Karush-Kuhn-Tucker Theorem.- Fixed points.- Postscript: infinite versus finite dimensions.- List of results and notation.
Details
Erscheinungsjahr: 2010
Fachbereich: Analysis
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xii
310 S.
ISBN-13: 9781441921277
ISBN-10: 1441921273
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Lewis, Adrian S.
Borwein, Jonathan
Auflage: Softcover reprint of hardcover 2nd edition 2006
Hersteller: Springer US
Springer New York
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 18 mm
Von/Mit: Adrian S. Lewis (u. a.)
Erscheinungsdatum: 01.12.2010
Gewicht: 0,493 kg
Artikel-ID: 107152562
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