Convexity and Well-Posed Problems
This book deals mainly with the study of convex functions and their behavior from the point of view of stability with respect to perturbations. We shall consider convex functions from the most modern point of view: a function is defined to be convex whenever its epigraph, the set of the points lying above the graph, is a convex set. Thus many of its properties can be seen also as properties of a certain convex set related to it.
1100025645
Convexity and Well-Posed Problems
This book deals mainly with the study of convex functions and their behavior from the point of view of stability with respect to perturbations. We shall consider convex functions from the most modern point of view: a function is defined to be convex whenever its epigraph, the set of the points lying above the graph, is a convex set. Thus many of its properties can be seen also as properties of a certain convex set related to it.
54.99 In Stock
Convexity and Well-Posed Problems

Convexity and Well-Posed Problems

by Roberto Lucchetti
Convexity and Well-Posed Problems

Convexity and Well-Posed Problems

by Roberto Lucchetti

Hardcover(2006)

$54.99 
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Overview

This book deals mainly with the study of convex functions and their behavior from the point of view of stability with respect to perturbations. We shall consider convex functions from the most modern point of view: a function is defined to be convex whenever its epigraph, the set of the points lying above the graph, is a convex set. Thus many of its properties can be seen also as properties of a certain convex set related to it.

Product Details

ISBN-13: 9780387287195
Publisher: Springer New York
Publication date: 11/16/2005
Series: CMS Books in Mathematics
Edition description: 2006
Pages: 305
Product dimensions: 6.10(w) x 9.25(h) x 0.03(d)

Table of Contents

Convex sets and convex functions: the fundamentals.- Continuity and—(X).- The derivatives and the subdifferential.- Minima and quasi minima.- The Fenchel conjugate.- Duality.- Linear programming and game theory.- Hypertopologies, hyperconvergences.- Continuity of some operations between functions.- Well-posed problems.- Generic well-posedness.- More exercises.
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