Convexity and well-posed problems

Resource Information

The work Convexity and well-posed 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 well-posed problems

Statement of responsibility

Roberto Lucchetti

Creator

• Lucchetti, R., (Roberto), 1950-

Subject

• Canadian Mathematical Society
• Canadian Mathematical Society -- 1613-5237
• 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 well-posedness, in the convex case. Stability means the basic parameters of a minimum problem do not vary much if we slightly change the initial data. Well-posedness 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 Hahn-Banach 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

Member of

• CMS books in mathematics

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