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
Resource Information
The item Convex analysis and nonlinear optimization : theory and examples, Jonathan M. Borwein, Adrian S. Lewis represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Convex analysis and nonlinear optimization : theory and examples, Jonathan M. Borwein, Adrian S. Lewis represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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 BabesBolyai Mathematica
 Language
 eng
 Edition
 2nd ed.
 Extent
 1 online resource (xii, 310 pages).
 Contents

 Background
 Inequality constraints
 Fenchel duality
 Convex analysis
 Special cases
 Nonsmooth optimization
 The KarushKuhnTucker Theorem
 Fixed points
 Postscript: infinite versus finite dimensions
 List of results and notation
 Isbn
 9786612823749
 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
 Subject

 Convex functions
 Convex functions
 Convex functions
 Convexe functies
 Konvexe Analysis
 Mathematical optimization
 Mathematical optimization
 Mathematical optimization
 Nichtlineare Optimierung
 Nietlineaire vergelijkingen
 Nonlinear theories
 Nonlinear theories
 Nonlinear theories
 Optimaliseren
 Programação convexa
 Programação matemática
 Analyse (wiskunde)
 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 BabesBolyai Mathematica
 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)
 Nietlineaire vergelijkingen
 Optimaliseren
 Programação convexa
 Programação matemática
 Label
 Convex analysis and nonlinear optimization : theory and examples, Jonathan M. Borwein, Adrian S. Lewis
 Bibliography note
 Includes bibliographical references (pages 275288) 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 KarushKuhnTucker 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
 10.1007/9780387312569
 http://library.link/vocab/ext/overdrive/overdriveId
 9780387295701
 Specific material designation
 remote
 System control number
 (OCoLC)655778573
 Label
 Convex analysis and nonlinear optimization : theory and examples, Jonathan M. Borwein, Adrian S. Lewis
 Bibliography note
 Includes bibliographical references (pages 275288) 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 KarushKuhnTucker 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
 10.1007/9780387312569
 http://library.link/vocab/ext/overdrive/overdriveId
 9780387295701
 Specific material designation
 remote
 System control number
 (OCoLC)655778573
Subject
 Convex functions
 Convex functions
 Convex functions
 Convexe functies
 Konvexe Analysis
 Mathematical optimization
 Mathematical optimization
 Mathematical optimization
 Nichtlineare Optimierung
 Nietlineaire vergelijkingen
 Nonlinear theories
 Nonlinear theories
 Nonlinear theories
 Optimaliseren
 Programação convexa
 Programação matemática
 Analyse (wiskunde)
Member of
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