Multivalued Analysis and Nonlinear Programming Problems with Perturbations
Bernd Luderer
ISBN 10: 1441952365 ISBN 13: 9781441952363
Editore: Springer-Verlag New York Inc., 2010
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New copy - Usually dispatched within 7-11 working days. Codice articolo B9781441952363
Riassunto:
This book is concerned with topological and differential properties of multivalued mappings and marginal functions. Beside this applica tions to the sensitivity analysis of optimization problems, in particular nonlinear programming problems with perturbations, are studied. The elaborated methods are primarily obtained by theories and concepts of two former Soviet Union researchers, Demyanov and Rubinov. Con sequently, a significant part of the presented results have never been published in English before. Based on the use of directional derivatives as a key tool in studying nonsmooth functions and multifunctions, these results can be considered as a further development of quasidifferential calculus created by Demyanov and Rubinov. In contrast to other research in this field, especially the recent publica tion by Bonnans and Shapiro, this book analyses properties of marginal functions associated with optimization problems under quite general con straints defined by means of multivalued mappings. A unified approach to directional differentiability of functions and multifunctions forms the base of the volume.
Recensione:
From the reviews:
"The aim of this book is to study infinite dimensional spaces, multivalued mappings and the associated marginal functions ... . The material is presented in a clear, rigorous manner. Besides the bibliographical comments ... references to the literature are given within the text. ... the unified approach to the directional differentiability of multifunctions and their associated marginal functions is a remarkable feature of the book ... . the book is a useful contribution to nonsmooth analysis and optimization." (Winfried Schirotzek, Zentralblatt MATH, Vol. 1061 (11), 2005)
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Dati bibliografici
Titolo: Multivalued Analysis and Nonlinear ...
Casa editrice: Springer-Verlag New York Inc.
Data di pubblicazione: 2010
Legatura: Paperback / softback
Condizione: New
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Multivalued Analysis and Nonlinear Programming Problems with Perturbations (eng)
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Preface. 1. Basic Notation. 2. Basic Problems of Multivalued Analysis. 3. Properties of Multivalued Mappings. 4. Subdifferentials of Marginal Functions. 5. Derivatives of Marginal Functions. 6. Sensitivity Analysis. Bibliographical Comments. References. Ind. Codice articolo 4175562
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Multivalued Analysis and Nonlinear Programming Problems with Perturbations
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Taschenbuch. Condizione: Neu. Multivalued Analysis and Nonlinear Programming Problems with Perturbations | B. Luderer (u. a.) | Taschenbuch | Nonconvex Optimization and Its Applications | xii | Englisch | 2010 | Springer | EAN 9781441952363 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Codice articolo 107251797
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Multivalued Analysis and Nonlinear Programming Problems with Perturbations
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book is concerned with topological and differential properties of multivalued mappings and marginal functions. Beside this applica tions to the sensitivity analysis of optimization problems, in particular nonlinear programming problems with perturbations, are studied. The elaborated methods are primarily obtained by theories and concepts of two former Soviet Union researchers, Demyanov and Rubinov. Con sequently, a significant part of the presented results have never been published in English before. Based on the use of directional derivatives as a key tool in studying nonsmooth functions and multifunctions, these results can be considered as a further development of quasidifferential calculus created by Demyanov and Rubinov. In contrast to other research in this field, especially the recent publica tion by Bonnans and Shapiro, this book analyses properties of marginal functions associated with optimization problems under quite general con straints defined by means of multivalued mappings. A unified approach to directional differentiability of functions and multifunctions forms the base of the volume. 224 pp. Englisch. Codice articolo 9781441952363
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Multivalued Analysis and Nonlinear Programming Problems with Perturbations
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Springer, Springer Dez 2010, 2010
ISBN 10: 1441952365
ISBN 13: 9781441952363
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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -1. Basic Notation.- 2. Basic Problems of Multivalued Analysis.- 3. Properties of Multivalued Mappings.- 4. Subdifferentials of Marginal Functions.- 5. Derivatives of Marginal Functions.- 6. Sensitivity Analysis.- Bibliographical Comments.- References.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 224 pp. Englisch. Codice articolo 9781441952363
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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book is concerned with topological and differential properties of multivalued mappings and marginal functions. Beside this applica tions to the sensitivity analysis of optimization problems, in particular nonlinear programming problems with perturbations, are studied. The elaborated methods are primarily obtained by theories and concepts of two former Soviet Union researchers, Demyanov and Rubinov. Con sequently, a significant part of the presented results have never been published in English before. Based on the use of directional derivatives as a key tool in studying nonsmooth functions and multifunctions, these results can be considered as a further development of quasidifferential calculus created by Demyanov and Rubinov. In contrast to other research in this field, especially the recent publica tion by Bonnans and Shapiro, this book analyses properties of marginal functions associated with optimization problems under quite general con straints defined by means of multivalued mappings. A unified approach to directional differentiability of functions and multifunctions forms the base of the volume. Codice articolo 9781441952363
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Multivalued Analysis and Nonlinear Programming Problems with Perturbations (Nonconvex Optimization and Its Applications)
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Paperback. Condizione: Brand New. 228 pages. 9.70x6.14x0.51 inches. In Stock. Codice articolo x-1441952365
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