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The Resource Convex analysis and nonlinear optimization : theory and examples, Jonathan M. Borwein, Adrian S. Lewis

Convex analysis and nonlinear optimization : theory and examples, Jonathan M. Borwein, Adrian S. Lewis

Label
Convex analysis and nonlinear optimization : theory and examples
Title
Convex analysis and nonlinear optimization
Title remainder
theory and examples
Statement of responsibility
Jonathan M. Borwein, Adrian S. Lewis
Creator
Contributor
Subject
Language
eng
Summary
A cornerstone of modern optimization and analysis, convexity pervades applications ranging through engineering and computation to finance. This concise introduction to convex analysis and its extensions aims at first year graduate students, and includes many guided exercises. The corrected Second Edition adds a chapter emphasizing concrete models. New topics include monotone operator theory, Rademacher's theorem, proximal normal geometry, Chebyshev sets, and amenability. The final material on "partial smoothness" won a 2005 SIAM Outstanding Paper Prize. 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. About the First Edition: " ... a very rewarding book, and I highly recommend it ..."--M.J. Todd, in the International Journal of Robust and Nonlinear Control " ... a beautifully written book ... highly recommended ..."--Leaf Qi, in the Australian Mathematical Society Gazette "This book represents a tour de force for introducing so many topics of present interest in such a small space and with such clarity and elegance."--J.-P. Penot, in Canadian Mathematical Society Notes "There is a fascinating interweaving of theory and applications ..."--J.R. Giles, in Mathematical Reviews " ... an ideal introductory teaching text ..."--S. Cobzas, in Studia Universitatis Babes-Bolyai Mathematica
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Borwein, Jonathan M
Dewey number
515/.8
Index
index present
Language note
English
LC call number
QA331.5
LC item number
.B65 2006
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Lewis, Adrian S
Series statement
CMS books in mathematics
Series volume
3
http://library.link/vocab/subjectName
  • Convex functions
  • Mathematical optimization
  • Nonlinear theories
  • Convex functions
  • Mathematical optimization
  • Nonlinear theories
  • Nichtlineare Optimierung
  • Konvexe Analysis
  • Convexe functies
  • Analyse (wiskunde)
  • Niet-lineaire vergelijkingen
  • Optimaliseren
  • Programação convexa
  • Programação matemática
Label
Convex analysis and nonlinear optimization : theory and examples, Jonathan M. Borwein, Adrian S. Lewis
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 275-288) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Control code
655778573
Dimensions
unknown
Edition
2nd ed.
Extent
1 online resource (xii, 310 pages).
Form of item
online
Isbn
9786612823749
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-0-387-31256-9
http://library.link/vocab/ext/overdrive/overdriveId
978-0-387-29570-1
Specific material designation
remote
System control number
(OCoLC)655778573
Label
Convex analysis and nonlinear optimization : theory and examples, Jonathan M. Borwein, Adrian S. Lewis
Publication
Bibliography note
Includes bibliographical references (pages 275-288) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Control code
655778573
Dimensions
unknown
Edition
2nd ed.
Extent
1 online resource (xii, 310 pages).
Form of item
online
Isbn
9786612823749
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-0-387-31256-9
http://library.link/vocab/ext/overdrive/overdriveId
978-0-387-29570-1
Specific material designation
remote
System control number
(OCoLC)655778573

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