Items related to Conjugate Duality in Convex Optimization (Lecture Notes...
Conjugate Duality in Convex Optimization (Lecture Notes in Economics and Mathematical Systems, 637) - Softcover
Synopsis
New findings in the theory of conjugate duality for convex optimization problems are presented in this comprehensive review. The formulation of generalized Moreau-Rockafellar formulae, play a central role in the book, which constitute a new class of regularity conditions.
"synopsis" may belong to another edition of this title.
From the Back Cover
This book presents new achievements and results in the theory of conjugate duality for convex optimization problems. The perturbation approach for attaching a dual problem to a primal one makes the object of a preliminary chapter, where also an overview of the classical generalized interior point regularity conditions is given. A central role in the book is played by the formulation of generalized Moreau-Rockafellar formulae and closedness-type conditions, the latter constituting a new class of regularity conditions, in many situations with a wider applicability than the generalized interior point ones. The reader also receives deep insights into biconjugate calculus for convex functions, the relations between different existing strong duality notions, but also into several unconventional Fenchel duality topics. The final part of the book is consecrated to the applications of the convex duality theory in the field of monotone operators.
"About this title" may belong to another edition of this title.
- PublisherSpringer
- Publication date2010
- ISBN 10 3642048994
- ISBN 13 9783642048999
- BindingPaperback
- LanguageEnglish
- Number of pages176
Search results for Conjugate Duality in Convex Optimization (Lecture Notes...
Stock Image
Conjugate Duality in Convex Optimization (Lecture Notes in Economics and Mathematical Systems, 637)
Seller: Lucky's Textbooks, Dallas, TX, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # ABLIING23Mar3113020214717
Quantity: Over 20 available
Stock Image
Conjugate Duality in Convex Optimization
Seller: Buchpark, Trebbin, Germany
Seller rating 5 out of 5 stars
Condition: Sehr gut. Zustand: Sehr gut - Neubindung, Buchschnitt leicht verkürzt, Buchrücken leicht gewellt, Backcover leicht angestossen und leicht angekratzt | Seiten: 164 | Sprache: Englisch | Produktart: Bücher. Seller Inventory # 5946558/12
Quantity: 1 available
Stock Image
Conjugate Duality in Convex Optimization (Lecture Notes in Economics and Mathematical Systems, 637)
Seller: Ria Christie Collections, Uxbridge, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. In. Seller Inventory # ria9783642048999_new
Quantity: Over 20 available
Seller Image
Conjugate Duality in Convex Optimization
Published by
Berlin Springer Berlin Heidelberg Springer Feb 2010, 2010
ISBN 10: 3642048994
ISBN 13: 9783642048999
New
Taschenbuch
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The results presented in this book originate from the last decade research work of the author in the eld of duality theory in convex optimization. The reputation of duality in the optimization theory comes mainly from the major role that it plays in formulating necessary and suf cient optimality conditions and, consequently, in generatingdifferent algorithmic approachesfor solving mathematical programming problems. The investigations made in this work prove the importance of the duality theory beyond these aspects and emphasize its strong connections with different topics in convex analysis, nonlinear analysis, functional analysis and in the theory of monotone operators. The rst part of the book brings to the attention of the reader the perturbation approach as a fundamental tool for developing the so-called conjugate duality t- ory. The classical Lagrange and Fenchel duality approaches are particular instances of this general concept. More than that, the generalized interior point regularity conditions stated in the past for the two mentioned situations turn out to be p- ticularizations of the ones given in this general setting. In our investigations, the perturbationapproachrepresentsthestartingpointforderivingnewdualityconcepts for several classes of convex optimization problems. Moreover, via this approach, generalized Moreau-Rockafellar formulae are provided and, in connection with them, a new class of regularity conditions, called closedness-type conditions, for both stable strong duality and strong duality is introduced. By stable strong duality we understand the situation in which strong duality still holds whenever perturbing the objective function of the primal problem with a linear continuous functional. 164 pp. Englisch. Seller Inventory # 9783642048999
Quantity: 2 available
Seller Image
Conjugate Duality in Convex Optimization
Published by
Springer, Berlin, Springer Berlin Heidelberg, Springer, 2010
ISBN 10: 3642048994
ISBN 13: 9783642048999
New
Taschenbuch
Seller: AHA-BUCH GmbH, Einbeck, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - The results presented in this book originate from the last decade research work of the author in the eld of duality theory in convex optimization. The reputation of duality in the optimization theory comes mainly from the major role that it plays in formulating necessary and suf cient optimality conditions and, consequently, in generatingdifferent algorithmic approachesfor solving mathematical programming problems. The investigations made in this work prove the importance of the duality theory beyond these aspects and emphasize its strong connections with different topics in convex analysis, nonlinear analysis, functional analysis and in the theory of monotone operators. The rst part of the book brings to the attention of the reader the perturbation approach as a fundamental tool for developing the so-called conjugate duality t- ory. The classical Lagrange and Fenchel duality approaches are particular instances of this general concept. More than that, the generalized interior point regularity conditions stated in the past for the two mentioned situations turn out to be p- ticularizations of the ones given in this general setting. In our investigations, the perturbationapproachrepresentsthestartingpointforderivingnewdualityconcepts for several classes of convex optimization problems. Moreover, via this approach, generalized Moreau-Rockafellar formulae are provided and, in connection with them, a new class of regularity conditions, called closedness-type conditions, for both stable strong duality and strong duality is introduced. By stable strong duality we understand the situation in which strong duality still holds whenever perturbing the objective function of the primal problem with a linear continuous functional. Seller Inventory # 9783642048999
Quantity: 2 available
Stock Image
Conjugate Duality in Convex Optimization
Seller: Buchpark, Maidenhead, Berkshire, United Kingdom
Seller rating 4 out of 5 stars
Condition: Very Good. Condition: Very Good | Pages: 164 | Language: English | Product Type: Books. Seller Inventory # 5946558/23
Quantity: 1 available
Seller Image
Conjugate Duality in Convex Optimization
Published by
Springer Berlin Heidelberg, 2010
ISBN 10: 3642048994
ISBN 13: 9783642048999
New
Kartoniert / Broschiert
Seller: moluna, Greven, Germany
Seller rating 5 out of 5 stars
Kartoniert / Broschiert. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The results presented in this book originate from the last decade research work of the author in the ?eld of duality theory in convex optimization. The reputation of duality in the optimization theory comes mainly from the major role that it plays in formul. Seller Inventory # 5044450
Quantity: Over 20 available
Stock Image
Conjugate Duality in Convex Optimization (Lecture Notes in Economics and Mathematical Systems)
Seller: Mispah books, Redhill, SURRE, United Kingdom
Seller rating 4 out of 5 stars
Paperback. Condition: Like New. Like New. book. Seller Inventory # ERICA77336420489946
Quantity: 1 available