Well-Posed Optimization Problems [electronic resource] /
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.
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Format: | Texto biblioteca |
Language: | eng |
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Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,
1993
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Subjects: | Mathematics., System theory., Calculus of variations., Economic theory., Systems Theory, Control., Calculus of Variations and Optimal Control; Optimization., Economic Theory/Quantitative Economics/Mathematical Methods., |
Online Access: | http://dx.doi.org/10.1007/BFb0084195 |
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KOHA-OAI-TEST:2077282018-07-30T23:38:08ZWell-Posed Optimization Problems [electronic resource] / Dontchev, Asen L. author. Zolezzi, Tullio. author. SpringerLink (Online service) textBerlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,1993.engThis 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.Tykhonov well-posedness -- Hadamard and tykhonov well-posedness -- Generic well-posedness -- Well-posedness and variational, epi- and mosco convergences -- Well-posedness in optimal control -- Relaxation and value hadamard well-posedness in optimal control -- Singular perturbations in optimal control -- Well-posedness in the calculus of variations -- Hadamard well-posedness in mathematical programming.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.Mathematics.System theory.Calculus of variations.Economic theory.Mathematics.Systems Theory, Control.Calculus of Variations and Optimal Control; Optimization.Economic Theory/Quantitative Economics/Mathematical Methods.Springer eBookshttp://dx.doi.org/10.1007/BFb0084195URN:ISBN:9783540476443 |
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Mathematics. System theory. Calculus of variations. Economic theory. Mathematics. Systems Theory, Control. Calculus of Variations and Optimal Control; Optimization. Economic Theory/Quantitative Economics/Mathematical Methods. Mathematics. System theory. Calculus of variations. Economic theory. Mathematics. Systems Theory, Control. Calculus of Variations and Optimal Control; Optimization. Economic Theory/Quantitative Economics/Mathematical Methods. |
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Mathematics. System theory. Calculus of variations. Economic theory. Mathematics. Systems Theory, Control. Calculus of Variations and Optimal Control; Optimization. Economic Theory/Quantitative Economics/Mathematical Methods. Mathematics. System theory. Calculus of variations. Economic theory. Mathematics. Systems Theory, Control. Calculus of Variations and Optimal Control; Optimization. Economic Theory/Quantitative Economics/Mathematical Methods. Dontchev, Asen L. author. Zolezzi, Tullio. author. SpringerLink (Online service) Well-Posed Optimization Problems [electronic resource] / |
description |
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. |
format |
Texto |
topic_facet |
Mathematics. System theory. Calculus of variations. Economic theory. Mathematics. Systems Theory, Control. Calculus of Variations and Optimal Control; Optimization. Economic Theory/Quantitative Economics/Mathematical Methods. |
author |
Dontchev, Asen L. author. Zolezzi, Tullio. author. SpringerLink (Online service) |
author_facet |
Dontchev, Asen L. author. Zolezzi, Tullio. author. SpringerLink (Online service) |
author_sort |
Dontchev, Asen L. author. |
title |
Well-Posed Optimization Problems [electronic resource] / |
title_short |
Well-Posed Optimization Problems [electronic resource] / |
title_full |
Well-Posed Optimization Problems [electronic resource] / |
title_fullStr |
Well-Posed Optimization Problems [electronic resource] / |
title_full_unstemmed |
Well-Posed Optimization Problems [electronic resource] / |
title_sort |
well-posed optimization problems [electronic resource] / |
publisher |
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, |
publishDate |
1993 |
url |
http://dx.doi.org/10.1007/BFb0084195 |
work_keys_str_mv |
AT dontchevasenlauthor wellposedoptimizationproblemselectronicresource AT zolezzitullioauthor wellposedoptimizationproblemselectronicresource AT springerlinkonlineservice wellposedoptimizationproblemselectronicresource |
_version_ |
1756268424897495040 |