Well-Posed Optimization Problems
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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| Autori principali: | , |
|---|---|
| Natura: | Livre numérique |
| Lingua: | Anglais |
| Pubblicazione: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Serie: | Lecture notes in mathematics
1543 |
| Soggetti: | |
| Accesso online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Well-posed optimization problems, Asen Dontchev, Tullio Zolezzi, 1993, Berlin, Springer-Verlag, 1 volume (XII-421 pages), Lecture notes in mathematics, 0-387-56737-2 • Well-Posed Optimization Problems, Texte imprimé, 9783662188033 |
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| 100 | 1 | |a Dontchev, Asen L., |d 1948-2021. | |
| 245 | 1 | 0 | |a Well-Posed Optimization Problems |c Asen L. Dontchev, Tullio Zolezzi. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1543 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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. | ||
| 650 | |a Équations aux dérivées partielles | ||
| 650 | |a Optimisation mathématique | ||
| 650 | |a Théorie de la commande | ||
| 650 | |a Calcul des variations | ||
| 650 | |a Économie politique | ||
| 700 | 1 | |a Zolezzi, Tullio, |d 1942- |4 aut | |
| 776 | 0 | |0 016861752 |t Well-posed optimization problems |f Asen Dontchev, Tullio Zolezzi |d 1993 |c Berlin |n Springer-Verlag |p 1 volume (XII-421 pages) |s Lecture notes in mathematics |z 0-387-56737-2 | |
| 776 | 0 | |t Well-Posed Optimization Problems |b Texte imprimé |z 9783662188033 | |
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| 856 | 4 | |5 180339901:754013537 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0084195 |z Accès INSA CVL | |
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