Convex analysis and nonlinear optimization : theory and examples
A cornerstone of modern optimization and analysis, convexity pervades applications ranging through engineering and computation to finance. This concise introduction to convex analysis and its extensions aims at first year graduate students, and includes many guided exercises. The corrected Second Ed...
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| Auteurs principaux: | , |
|---|---|
| 格式: | Livre numérique |
| 語言: | Anglais |
| 出版: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| 版: | 2nd edition. |
| 叢編: | CMS Books in Mathematics, Ouvrages de mathématiques de la SMC
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| 主題: | |
| 在線閱讀: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| 提示: |
Description d'après consultation du 16 mars 2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Convex Analysis and Nonlinear Optimization, Texte imprimé, 9780387563015 • Convex Analysis and Nonlinear Optimization, Texte imprimé, 9781441921277 • Convex analysis and nonlinear optimization, theory and examples, Jonathan M. Borwein, Adrian S. Lewis, 2nd edition, 2006, New York, Springer, 1 vol. (XII-310 p.), CMS books in mathematics, 0-387-29570-4 |
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| 100 | 1 | |a Borwein, Jonathan M., |d 1951-2016, |c mathématicien. | |
| 245 | 1 | 0 | |a Convex analysis and nonlinear optimization : |b theory and examples |c Jonathan Borwein, Adrian Lewis. |
| 250 | |a 2nd edition. | ||
| 260 | |a New York, NY : |b Springer New York. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a CMS Books in Mathematics, Ouvrages de mathématiques de la SMC |x 2197-4152 | |
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| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a Background Inequality Constraints Fenchel Duality Convex Analysis Special Cases Nonsmooth Optimization Karush-Kuhn-Tucker Theory Fixed Points More Nonsmooth Structure Postscript: Infinite Versus Finite Dimensions List of Results and Notation. | |
| 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 A cornerstone of modern optimization and analysis, convexity pervades applications ranging through engineering and computation to finance. This concise introduction to convex analysis and its extensions aims at first year graduate students, and includes many guided exercises. The corrected Second Edition adds a chapter emphasizing concrete models. New topics include monotone operator theory, Rademacher's theorem, proximal normal geometry, Chebyshev sets, and amenability. The final material on "partial smoothness" won a 2005 SIAM Outstanding Paper Prize. Jonathan M. Borwein, FRSC is Canada Research Chair in Collaborative Technology at Dalhousie University. A Fellow of the AAAS and a foreign member of the Bulgarian Academy of Science, he received his Doctorate from Oxford in 1974 as a Rhodes Scholar and has worked at Waterloo, Carnegie Mellon and Simon Fraser Universities. Recognition for his extensive publications in optimization, analysis and computational mathematics includes the 1993 Chauvenet prize. Adrian S. Lewis is a Professor in the School of Operations Research and Industrial Engineering at Cornell. Following his 1987 Doctorate from Cambridge, he has worked at Waterloo and Simon Fraser Universities. He received the 1995 Aisenstadt Prize, from the University of Montreal, and the 2003 Lagrange Prize for Continuous Optimization, from SIAM and the Mathematical Programming Society. About the First Edition: "...a very rewarding book, and I highly recommend it... " - M.J. Todd, in the International Journal of Robust and Nonlinear Control "...a beautifully written book... highly recommended..." - L. Qi, in the Australian Mathematical Society Gazette "This book represents a tour de force for introducing so many topics of present interest in such a small space and with such clarity and elegance." - J.-P. Penot, in Canadian Mathematical Society Notes "There is a fascinating interweaving of theory and applications..." - J.R. Giles, in Mathematical Reviews "...an ideal introductory teaching text..." - S. Cobzas, in Studia Universitatis Babes-Bolyai Mathematica. | ||
| 650 | |a Fonctions convexes | ||
| 650 | |a Optimisation mathématique | ||
| 650 | |a Théories non linéaires | ||
| 700 | 1 | |a Lewis, Adrian S., |d 1962-...., |c mathématicien. |4 aut | |
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