Convex Analysis and Nonlinear Optimization

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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.

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

Includes supplementary material: [...]

Inhaltsverzeichnis

Background.- Inequality Constraints.- Fenchel Duality.- Convex Analysis.- Special Cases.- Nonsmooth Optimization.- Karush-Kuhn-Tucker Theory.- Fixed Points.- More Nonsmooth Structure.- Postscript: Infinite Versus Finite Dimensions.- List of Results and Notation.

Details

Erscheinungsjahr:	2005
Fachbereich:	Analysis
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Reihe:	CMS Books in Mathematics
Inhalt:	xii 310 S.
ISBN-13:	9780387295701
ISBN-10:	0387295704
Sprache:	Englisch
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Lewis, Adrian S. Borwein, Jonathan
Auflage:	2nd ed. 2006
Hersteller:	Springer US Springer New York Springer US, New York, N.Y. CMS Books in Mathematics
Maße:	241 x 160 x 23 mm
Von/Mit:	Adrian S. Lewis (u. a.)
Erscheinungsdatum:	30.11.2005
Gewicht:	0,658 kg

Artikel-ID: 102236493