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From its origins in the minimization of integral functionals, the notion of variations has evolved greatly in connection with applications in optimization, equilibrium, and control. This book develops a unified framework and provides a detailed exposition of variational geometry and subdifferential calculus in their current forms beyond classical and convex analysis. Also covered are set-convergence, set-valued mappings, epi-convergence, duality, and normal integrands.
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Both authors have long worked with applications of convex, and later nonconvex, analysis to problems in optimization. Both are recipients of the Dantzig Prize (awarded by SIAM and the Mathematical Programming Society): Rockafellar in 1982 and Wets in 1994.
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From its origins in the minimization of integral functionals, the notion of 'variations' has evolved greatly in connection with applications in optimization, equilibrium, and control. It refers not only to constrained movement away from a point, but also to modes of perturbation and approximation that are best describable by 'set convergence', variational convergence of functions and the like. This book develops a unified framework and, in finite dimension, provides a detailed exposition of variational geometry and subdifferential calculus in their current forms beyond classical and convex analysis. Also covered are set-convergence, set-valued mappings, epi-convergence, duality, maximal monotone mappings, second-order subderivatives, measurable selections and normal integrands.
The changes in this 3rd printing mainly concern various typographical corrections, and reference omissions that came to light in the previous printings. Many of these reached the authors' notice through their own re-reading, that of their students and a number of colleagues mentioned in the Preface. The authors also included a few telling examples as well as improved a few statements, with slightly weaker assumptions or have strengthened the conclusions in a couple of instances.
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- VerlagSpringer
- Erscheinungsdatum2009
- ISBN 10 3540627723
- ISBN 13 9783540627722
- EinbandTapa dura
- SpracheEnglisch
- Anzahl der Seiten750
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Variational analysis R. Tyrrell Rockafellar, Roger J-B. Wets. Grundlehren der mathematischen Wissenschaften 317.
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Berlin , Springer [1998]., 1998
ISBN 10: 3540627723
ISBN 13: 9783540627722
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Variational Analysis
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Hardcover. Zustand: Near Fine. Zustand des Schutzumschlags: No Dust Jacket. First Edition. Ex-Institutional LIBRARY copy, showing minimal treatments: rubber stamps at the front endpaper and labels at the lower backstrip and front panel. Else, Fine: flawless; the binding is square and secure; the text is clean. Free of any creased or dog-eared pages in the text. Free of any underlining, hi-lighting or marginalia or marks in the text. A handsome, nearly-new copy, structurally sound and tightly bound, showing only the noted library markings. Bright and clean. Corners sharp. Virtually 'As New'. NOT a Remainder or Book-Club. 8vo. (9.5 x 6.5 x 1.65 inches) . Language: English. Weight: 37.7 ounces. First Edition (1998) , unstated; no previous printing or edition is noted. Hardback: No DJ 'as issued'. ; Grundlehren Der Mathematischen Wissenschaften; Vol. 317; xiii, 733 pages pages. Bestandsnummer des Verkäufers 57640
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Variational Analysis
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Gebunden. Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Includes corrections, some simplifications and some additional commentsBoth authors have long worked with applications of convex, and later nonconvex, analysis to problems in optimization. Both are recipients of the Dantzig Prize (awarded by SIAM and. Bestandsnummer des Verkäufers 4896079
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Variational Analysis
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ISBN 13: 9783540627722
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Buch. Zustand: Neu. Neuware -From its origins in the minimization of integral functionals, the notion of 'variations' has evolved greatly in connection with applications in optimization, equilibrium, and control. It refers not only to constrained movement away from a point, but also to modes of perturbation and approximation that are best describable by 'set convergence', variational convergence of functions and the like. This book develops a unified framework and, in finite dimension, provides a detailed exposition of variational geometry and subdifferential calculus in their current forms beyond classical and convex analysis. Also covered are set-convergence, set-valued mappings, epi-convergence, duality, maximal monotone mappings, second-order subderivatives, measurable selections and normal integrands.The changes in this 3rd printing mainly concern various typographical corrections, and reference omissions that came to light in the previous printings. Many of these reached the authors' notice through their own re-reading, that of their students and a number of colleagues mentioned in the Preface. The authors also included a few telling examples as well as improved a few statements, with slightly weaker assumptions or have strengthened the conclusions in a couple of instances.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 752 pp. Englisch. Bestandsnummer des Verkäufers 9783540627722
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - From its origins in the minimization of integral functionals, the notion of 'variations' has evolved greatly in connection with applications in optimization, equilibrium, and control. It refers not only to constrained movement away from a point, but also to modes of perturbation and approximation that are best describable by 'set convergence', variational convergence of functions and the like. This book develops a unified framework and, in finite dimension, provides a detailed exposition of variational geometry and subdifferential calculus in their current forms beyond classical and convex analysis. Also covered are set-convergence, set-valued mappings, epi-convergence, duality, maximal monotone mappings, second-order subderivatives, measurable selections and normal integrands. The changes in this 3rd printing mainly concern various typographical corrections, and reference omissions that came to light in the previous printings. Many of these reached the authors' notice through their own re-reading, that of their students and a number of colleagues mentioned in the Preface. The authors also included a few telling examples as well as improved a few statements, with slightly weaker assumptions or have strengthened the conclusions in a couple of instances. Bestandsnummer des Verkäufers 9783540627722
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Buch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -From its origins in the minimization of integral functionals, the notion of 'variations' has evolved greatly in connection with applications in optimization, equilibrium, and control. It refers not only to constrained movement away from a point, but also to modes of perturbation and approximation that are best describable by 'set convergence', variational convergence of functions and the like. This book develops a unified framework and, in finite dimension, provides a detailed exposition of variational geometry and subdifferential calculus in their current forms beyond classical and convex analysis. Also covered are set-convergence, set-valued mappings, epi-convergence, duality, maximal monotone mappings, second-order subderivatives, measurable selections and normal integrands. The changes in this 3rd printing mainly concern various typographical corrections, and reference omissions that came to light in the previous printings. Many of these reached the authors' notice through their own re-reading, that of their students and a number of colleagues mentioned in the Preface. The authors also included a few telling examples as well as improved a few statements, with slightly weaker assumptions or have strengthened the conclusions in a couple of instances. 752 pp. Englisch. Bestandsnummer des Verkäufers 9783540627722
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Variational Analysis (Grundlehren der mathematischen Wissenschaften, 317)
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