
Convex Analysis and Nonlinear Optimization
Theory and Examples
Springer (Publisher)
2nd Edition
Published on 1. December 2010
Book
Paperback/Softback
XII, 310 pages
978-1-4419-2127-7 (ISBN)
Description
Optimization is a rich and thriving mathematical discipline, and the underlying theory of current computational optimization techniques grows ever more sophisticated. This book aims to provide a concise, accessible account of convex analysis and its applications and extensions, for a broad audience. Each section concludes with an often extensive set of optional exercises. This new edition adds material on semismooth optimization, as well as several new proofs.
Reviews / Votes
Aus den Rezensionen zur 2. Auflage: "Das vorliegende Werk bietet eine anspruchsvolle Einführung in die nichtlineare Optimierung in endlichdimensionalen Räumen. ... Die Autoren haben einige bemerkenswerte Entscheidungen bei der Zusammenstellung dieses Werkes getroffen. ... Der Stil ist informell, die Kapitel sind nur lose aufeinander aufbauend, es ist also nicht unbedingt erforderlich, das Buch von vorn nach hinten durchzuarbeiten. Dies macht es auch für fortgeschrittene Studentinnen und Studenten attraktiv." (F. Rendl, in: IMN - Internationale Mathematische Nachrichten, 2008, Issue 207, S. 50)More details
Product info
Previously published in hardcover
Series
Edition
2nd ed. Softcover version of original hardcover edition 2006
Language
English
Place of publication
New York, NY
United States
Target group
Graduate
Edition type
Revised edition
Product notice
Paperback (trade)
Illustrations
biography
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 17 mm
Weight
491 gr
ISBN-13
978-1-4419-2127-7 (9781441921277)
DOI
10.1007/978-0-387-31256-9
Schweitzer Classification
Other editions
Additional editions

E-Book
05/2010
2nd Edition
Springer
€62.99
Available for download

Book
11/2005
2nd Edition
Springer
€64.15
Shipment within 5-7 days
Persons
Jonathan M. Borwein, FRSC is Canada Research Chair in Collaborative Technology at Dalhousie University. A Fellow of the AAAS and a foreign member of the Bulgarian Academy of Science, he received his Doctorate from Oxford in 1974 as a Rhodes Scholar and has worked at Waterloo, Carnegie Mellon and Simon Fraser Universities. Recognition for his extensive publications in optimization, analysis and computational mathematics includes the 1993 Chauvenet prize.
Adrian S. Lewis is a Professor in the School of Operations Research and Industrial Engineering at Cornell. Following his 1987 Doctorate from Cambridge, he has worked at Waterloo and Simon Fraser Universities. He received the 1995 Aisenstadt Prize, from the University of Montreal, and the 2003 Lagrange Prize for Continuous Optimization, from SIAM and the Mathematical Programming Society.
Adrian S. Lewis is a Professor in the School of Operations Research and Industrial Engineering at Cornell. Following his 1987 Doctorate from Cambridge, he has worked at Waterloo and Simon Fraser Universities. He received the 1995 Aisenstadt Prize, from the University of Montreal, and the 2003 Lagrange Prize for Continuous Optimization, from SIAM and the Mathematical Programming Society.
Content
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.