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.

Über den Autor

Jonathan M. Borwein, FRSC is Canada Research Chair in Collaborative Technology at Dalhousie University. He received his Doctorate from Oxford in 1974 and has been on faculty at Waterloo, Carnegie Mellon and Simon Fraser Universities. He has published extensively in optimization, analysis and computational mathematics and has received various prizes both for research and for exposition.

Qiji J. Zhu is a Professor in the Department of Mathematics at Western Michigan University. He received his doctorate at Northeastern University in 1992. He has been a Research Associate at University of Montreal, Simon Fraser University and

University of Victoria, Canada.

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
Reihe:	CMS Books in Mathematics
Inhalt:	xii 310 S.
ISBN-13:	9781441921277
ISBN-10:	1441921273
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Borwein, Jonathan Lewis, Adrian S.
Auflage:	Second Edition 2006
Hersteller:	Springer Springer US, New York, N.Y. CMS Books in Mathematics
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:	Jonathan Borwein (u. a.)
Erscheinungsdatum:	01.12.2010
Gewicht:	0,493 kg