Convexity and wellposed problems
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The work Convexity and wellposed problems represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Convexity and wellposed problems
Resource Information
The work Convexity and wellposed problems represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 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
 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
Context
Context of Convexity and wellposed problemsWork of
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