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Well-posed optimization problems /

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This book presents in a unified way the mathematical theory of well-posedness in optimization. The basic concepts of well-posedness and the links among them are studied, in particular Hadamard and Tykhonov well-posedness. Abstract optimization problems as well as applications to optimal control, cal...

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Bibliographic Details
Main Author: Dontchev, A. L., 1948-
Corporate Author: SpringerLink (Online service)
Other Authors: Zolezzi, T. (Tullio), 1942-
Format: eBook
Language:English
Published: Berlin ; New York : Springer-Verlag, [1993]
Series:Lecture notes in mathematics (Springer-Verlag) ; 1543.
Subjects:
Mathematical optimization.
Differential equations, Partial > Improperly posed problems.
Hadamard.
Tikhonov.
programmation mathématique.
calcul variation.
perturbation singulière.
relaxation.
commande optimale.
problème bien posé.
optimisation.
Optimisation mathématique.
Équations aux dérivées partielles > Problèmes mal posés.
Optimaliseren.
Équations aux dérivées partielles.
Electronic books.
Online Access:Connect to the full text of this electronic book
Description
Summary:This book presents in a unified way the mathematical theory of well-posedness in optimization. The basic concepts of well-posedness and the links among them are studied, in particular Hadamard and Tykhonov well-posedness. Abstract optimization problems as well as applications to optimal control, calculus of variations and mathematical programming are considered. Both the pure and applied side of these topics are presented. The main subject is often introduced by heuristics, particular cases and examples. Complete proofs are provided. The expected knowledge of the reader does not extend beyond textbook (real and functional) analysis, some topology and differential equations and basic optimization. References are provided for more advanced topics. The book is addressed to mathematicians interested in optimization and related topics, and also to engineers, control theorists, economists and applied scientists who can find here a mathematical justification of practical procedures they encounter.
Item Description:Electronic resource.
Physical Description:1 online resource (xii, 421 pages)
Format:Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Bibliography:Includes bibliographical references and index.
ISBN:9783540476443 (electronic bk.)
354047644X (electronic bk.)
ISSN:0075-8434 ;