Well-Posed Optimization Problems

Well-Posed Optimization Problems

Author: Assen L. Dontchev

Publisher: Springer

ISBN: 9783540476443

Category: Science

Page: 424

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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, 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.
Well-Posed Optimization Problems
Language: en
Pages: 424
Authors: Assen L. Dontchev, Tullio Zolezzi
Categories: Science
Type: BOOK - Published: 2006-11-15 - Publisher: Springer

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.
Well-Posed Optimization Problems
Language: en
Pages: 424
Authors: Asen L. Dontchev, Tullio Zolezzi
Categories: Science
Type: BOOK - Published: 2014-03-12 - Publisher: Springer

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.
Recent Developments in Well-Posed Variational Problems
Language: en
Pages: 268
Authors: Roberto Lucchetti, Julian Revalski
Categories: Mathematics
Type: BOOK - Published: 2013-03-09 - Publisher: Springer Science & Business Media

This volume contains several surveys focused on the ideas of approximate solutions, well-posedness and stability of problems in scalar and vector optimization, game theory and calculus of variations. These concepts are of particular interest in many fields of mathematics. The idea of stability goes back at least to J. Hadamard
Well-Posed Optimization Problems
Language: en
Pages: 424
Authors: Asen L. Dontchev, Tullio Zolezzi
Categories: Science
Type: BOOK - Published: 1993-06-14 - Publisher: Springer

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.
Counterexamples in Optimal Control Theory
Language: en
Pages: 182
Authors: Semen Ya. Serovaiskii
Categories: Mathematics
Type: BOOK - Published: 2003-01-01 - Publisher: Walter de Gruyter

This monograph deals with cases where optimal control either does not exist or is not unique, cases where optimality conditions are insufficient of degenerate, or where extremum problems in the sense of Tikhonov and Hadamard are ill-posed, and other situations. A formal application of classical optimisation methods in such cases