The Resource Convexity and wellposed problems, Roberto Lucchetti
Convexity and wellposed problems, Roberto Lucchetti
Resource Information
The item Convexity and wellposed problems, Roberto Lucchetti 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 Convexity and wellposed problems, Roberto Lucchetti 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
 Intended for graduate students especially in mathematics, physics, and economics, this book deals with the study of convex functions and of their behavior from the point of view of stability with respect to perturbations. The primary goal is the study of the problems of stability and wellposedness, in the convex case. Stability means the basic parameters of a minimum problem do not vary much if we slightly change the initial data. Wellposedness means that points with values close to the value of the problem must be close to actual solutions. In studying this, one is naturally led to consider perturbations of both functions and of sets. The book includes a discussion of numerous topics, including: @* hypertopologies, ie, topologies on the closed subsets of a metric space; @* duality in linear programming problems, via cooperative game theory; @* the HahnBanach theorem, which is a fundamental tool for the study of convex functions; @* questions related to convergence of sets of nets; @* genericity and porosity results; @* algorithms for minimizing a convex function. In order to facilitate use as a textbook, the author has included a selection of examples and exercises, varying in degree of difficulty. Robert Lucchetti is Professor of Mathematics at Politecnico di Milano. He has taught this material to graduate students at his own university, as well as the Catholic University of Brescia, and the University of Pavia
 Language
 eng
 Extent
 1 online resource (xiv, 305 pages)
 Contents

 Preface
 Convex Sets and Convex Functions: the fundamentals
 Continuity and Gamma (X)
 The Derivatives and the Subdifferential
 Minima and Quasi Minima
 The Fenchel Conjugate
 Duality
 Linar Programming and Game Theory. Hypertopologies, Hyperconvergences
 Continuity of Some Operations Between Functions
 WellPosed Problems
 Generic WellPosedness
 More Exercises
 Appendix A: Functional Analysis
 Appendix B: Topology
 Appendix C: More Game Theory
 Appendix D: Symbols, Notations, Definitions and Important Theorems
 References, Index
 Isbn
 9780387310824
 Label
 Convexity and wellposed problems
 Title
 Convexity and wellposed problems
 Statement of responsibility
 Roberto Lucchetti
 Subject

 Canadian Mathematical Society
 Canadian Mathematical Society  16135237
 Convex functions
 Convex functions
 Convex functions
 Convex functions
 Convexe functies
 Convexe functies
 Functional analysis
 Functional analysis
 Functional analysis
 Functional analysis
 Perturbation (Mathematics)
 Perturbation (Mathematics)
 Perturbation (Mathematics)
 Perturbation (Mathematics)
 Canadian Mathematical Society
 Language
 eng
 Summary
 Intended for graduate students especially in mathematics, physics, and economics, this book deals with the study of convex functions and of their behavior from the point of view of stability with respect to perturbations. The primary goal is the study of the problems of stability and wellposedness, in the convex case. Stability means the basic parameters of a minimum problem do not vary much if we slightly change the initial data. Wellposedness means that points with values close to the value of the problem must be close to actual solutions. In studying this, one is naturally led to consider perturbations of both functions and of sets. The book includes a discussion of numerous topics, including: @* hypertopologies, ie, topologies on the closed subsets of a metric space; @* duality in linear programming problems, via cooperative game theory; @* the HahnBanach theorem, which is a fundamental tool for the study of convex functions; @* questions related to convergence of sets of nets; @* genericity and porosity results; @* algorithms for minimizing a convex function. In order to facilitate use as a textbook, the author has included a selection of examples and exercises, varying in degree of difficulty. Robert Lucchetti is Professor of Mathematics at Politecnico di Milano. He has taught this material to graduate students at his own university, as well as the Catholic University of Brescia, and the University of Pavia
 Cataloging source
 GW5XE
 http://library.link/vocab/creatorDate
 1950
 http://library.link/vocab/creatorName
 Lucchetti, R.
 Dewey number
 515/.8
 Illustrations
 illustrations
 Index
 index present
 Language note
 English
 LC call number
 QA331.5
 LC item number
 .L75 2006eb
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 CMS books in mathematics
 http://library.link/vocab/subjectName

 Canadian Mathematical Society
 Convex functions
 Perturbation (Mathematics)
 Functional analysis
 Canadian Mathematical Society
 Perturbation (Mathematics)
 Functional analysis
 Convexe functies
 Convex functions
 Convex functions
 Functional analysis
 Perturbation (Mathematics)
 Convexe functies
 Label
 Convexity and wellposed problems, Roberto Lucchetti
 Bibliography note
 Includes bibliographical references (pages 299301) 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
 Preface  Convex Sets and Convex Functions: the fundamentals  Continuity and Gamma (X)  The Derivatives and the Subdifferential  Minima and Quasi Minima  The Fenchel Conjugate  Duality  Linar Programming and Game Theory. Hypertopologies, Hyperconvergences  Continuity of Some Operations Between Functions  WellPosed Problems  Generic WellPosedness  More Exercises  Appendix A: Functional Analysis  Appendix B: Topology  Appendix C: More Game Theory  Appendix D: Symbols, Notations, Definitions and Important Theorems  References, Index
 Control code
 209913474
 Dimensions
 unknown
 Extent
 1 online resource (xiv, 305 pages)
 Form of item
 online
 Isbn
 9780387310824
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/0387310827
 Other physical details
 illustrations.
 http://library.link/vocab/ext/overdrive/overdriveId
 9780387287195
 Specific material designation
 remote
 System control number
 (OCoLC)209913474
 Label
 Convexity and wellposed problems, Roberto Lucchetti
 Bibliography note
 Includes bibliographical references (pages 299301) 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
 Preface  Convex Sets and Convex Functions: the fundamentals  Continuity and Gamma (X)  The Derivatives and the Subdifferential  Minima and Quasi Minima  The Fenchel Conjugate  Duality  Linar Programming and Game Theory. Hypertopologies, Hyperconvergences  Continuity of Some Operations Between Functions  WellPosed Problems  Generic WellPosedness  More Exercises  Appendix A: Functional Analysis  Appendix B: Topology  Appendix C: More Game Theory  Appendix D: Symbols, Notations, Definitions and Important Theorems  References, Index
 Control code
 209913474
 Dimensions
 unknown
 Extent
 1 online resource (xiv, 305 pages)
 Form of item
 online
 Isbn
 9780387310824
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/0387310827
 Other physical details
 illustrations.
 http://library.link/vocab/ext/overdrive/overdriveId
 9780387287195
 Specific material designation
 remote
 System control number
 (OCoLC)209913474
Subject
 Canadian Mathematical Society
 Canadian Mathematical Society  16135237
 Convex functions
 Convex functions
 Convex functions
 Convex functions
 Convexe functies
 Convexe functies
 Functional analysis
 Functional analysis
 Functional analysis
 Functional analysis
 Perturbation (Mathematics)
 Perturbation (Mathematics)
 Perturbation (Mathematics)
 Perturbation (Mathematics)
 Canadian Mathematical Society
Member of
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