Variational Analysis
(Sprache: Englisch)
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...
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Klappentext zu „Variational Analysis “
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.
Inhaltsverzeichnis zu „Variational Analysis “
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.
Autoren-Porträt von R. Tyrrell Rockafellar, Roger J-B. Wets
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.
Bibliographische Angaben
- Autoren: R. Tyrrell Rockafellar , Roger J-B. Wets
- 2009, 1st Corrected ed. 1998, Corr. 3rd printing 2009., 736 Seiten, Maße: 16 x 24,1 cm, Gebunden, Englisch
- Zeichnungen:Wets, Maria
- Verlag: Springer
- ISBN-10: 3540627723
- ISBN-13: 9783540627722
- Erscheinungsdatum: 17.07.2009
Sprache:
Englisch
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