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Cover: 9783540627722 | Variational Analysis | R. Tyrrell Rockafellar (u. a.) | Buch | XII
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Variational Analysis
Buch von R. Tyrrell Rockafellar (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Über den Autor

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.

Zusammenfassung

Includes corrections, some simplifications and some additional comments

Inhaltsverzeichnis
Max and Min.- Convexity.- Cones and Cosmic Closure.- Set Convergence.- Set-Valued Mappings.- Variational Geometry.- Epigraphical Limits.- Subderivatives and Subgradients.- Lipschitzian Properties.- Subdifferential Calculus.- Dualization.- Monotone Mappings.- Second-Order Theory.- Measurability.
Details
Erscheinungsjahr: 1997
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Grundlehren der mathematischen Wissenschaften
Inhalt: xii
736 S.
151 s/w Illustr.
ISBN-13: 9783540627722
ISBN-10: 3540627723
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Rockafellar, R. Tyrrell
Wets, Roger J. -B.
Zeichner: Maria Wets
Illustrator: Maria Wets
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Grundlehren der mathematischen Wissenschaften
Maße: 241 x 160 x 46 mm
Von/Mit: R. Tyrrell Rockafellar (u. a.)
Erscheinungsdatum: 27.11.1997
Gewicht: 1,279 kg
Artikel-ID: 102472081
Über den Autor

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.

Zusammenfassung

Includes corrections, some simplifications and some additional comments

Inhaltsverzeichnis
Max and Min.- Convexity.- Cones and Cosmic Closure.- Set Convergence.- Set-Valued Mappings.- Variational Geometry.- Epigraphical Limits.- Subderivatives and Subgradients.- Lipschitzian Properties.- Subdifferential Calculus.- Dualization.- Monotone Mappings.- Second-Order Theory.- Measurability.
Details
Erscheinungsjahr: 1997
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Grundlehren der mathematischen Wissenschaften
Inhalt: xii
736 S.
151 s/w Illustr.
ISBN-13: 9783540627722
ISBN-10: 3540627723
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Rockafellar, R. Tyrrell
Wets, Roger J. -B.
Zeichner: Maria Wets
Illustrator: Maria Wets
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Grundlehren der mathematischen Wissenschaften
Maße: 241 x 160 x 46 mm
Von/Mit: R. Tyrrell Rockafellar (u. a.)
Erscheinungsdatum: 27.11.1997
Gewicht: 1,279 kg
Artikel-ID: 102472081
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