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- catalog abstract "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.".
- catalog contributor b4728156.
- catalog contributor b4728157.
- catalog created "c1993.".
- catalog date "1993".
- catalog date "c1993.".
- catalog dateCopyrighted "c1993.".
- catalog description "1. Tykhonov well-posedness --- 2. Hadamard and tykhonov well-posedness --- 3. Generic well-posedness --- 4. Well-posedness and variational, epi- and mosco convergences --- 5. Well-posedness in optimal control --- 6. Relaxation and value hadamard well-posedness in optimal control --- 7. Singular perturbations in optimal control --- 8. Well-posedness in the calculus of variations --- 9. Hadamard well-posedness in mathematical programming.".
- catalog description "Includes bibliographical references and index.".
- catalog 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.".
- catalog extent "xii, 421 p. ;".
- catalog hasFormat "Well-posed optimization problems.".
- catalog identifier "0387567372 (New York : acid-free)".
- catalog identifier "3540567372 (Berlin : acid-free) :".
- catalog isFormatOf "Well-posed optimization problems.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1543.".
- catalog isPartOf "Lecture notes in mathematics ; 1543".
- catalog issued "1993".
- catalog issued "c1993.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer-Verlag,".
- catalog relation "Well-posed optimization problems.".
- catalog subject "510 s 519.3 20".
- catalog subject "Differential equations, Partial Improperly posed problems.".
- catalog subject "Economics.".
- catalog subject "Mathematical optimization.".
- catalog subject "Mathematics.".
- catalog subject "QA3 .L28 no. 1543 QA402.5".
- catalog subject "Systems theory.".
- catalog tableOfContents "1. Tykhonov well-posedness --- 2. Hadamard and tykhonov well-posedness --- 3. Generic well-posedness --- 4. Well-posedness and variational, epi- and mosco convergences --- 5. Well-posedness in optimal control --- 6. Relaxation and value hadamard well-posedness in optimal control --- 7. Singular perturbations in optimal control --- 8. Well-posedness in the calculus of variations --- 9. Hadamard well-posedness in mathematical programming.".
- catalog title "Well-posed optimization problems / Asen Dontchev, Tullio Zolezzi.".
- catalog type "text".