Duality for Nonconvex Approximation and Optimization / Edition 1

Duality for Nonconvex Approximation and Optimization / Edition 1

by Ivan Singer
     
 

ISBN-10: 0387283943

ISBN-13: 9780387283944

Pub. Date: 02/16/2006

Publisher: Springer New York

The theory of convex optimization has been constantly developing over the past 30 years. Most recently, many researchers have been studying more complicated classes of problems that still can be studied by means of convex analysis, so-called "anticonvex" and "convex-anticonvex" optimizaton problems. This manuscript contains an exhaustive presentation of the duality

Overview

The theory of convex optimization has been constantly developing over the past 30 years. Most recently, many researchers have been studying more complicated classes of problems that still can be studied by means of convex analysis, so-called "anticonvex" and "convex-anticonvex" optimizaton problems. This manuscript contains an exhaustive presentation of the duality for these classes of problems and some of its generalization in the framework of abstract convexity. This manuscript will be of great interest for experts in this and related fields.

Product Details

ISBN-13:
9780387283944
Publisher:
Springer New York
Publication date:
02/16/2006
Series:
CMS Books in Mathematics Series
Edition description:
2006
Pages:
356
Product dimensions:
6.10(w) x 9.25(h) x 0.03(d)

Table of Contents

Preliminaries.- Worst Approximation.- Duality for Quasi-convex Supremization.- Optimal Solutions for Quasi-convex Maximization.- Reverse Convex Best Approximation.- Unperturbational Duality for Reverse Convex Infimization.- Optimal Solutions for Reverse Convex Infimization.- Duality for D.C. Optimization Problems.- Duality for Optimization in the Framework of Abstract Convexity.- Notes and Remarks.

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