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Well-Posed Optimization Problems

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Well-Posed Optimization Problems Synopsis

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.

About This Edition

ISBN: 9783540567370
Publication date: 14th June 1993
Author: Assen L Dontchev, Tullio Zolezzi
Publisher: Springer an imprint of Springer Berlin Heidelberg
Format: Paperback
Pagination: 424 pages
Series: Lecture Notes in Mathematics
Genres: Cybernetics and systems theory
Economic theory and philosophy
Optimization