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Convex Analysis and Monotone Operator Theory in Hilbert Spaces

BuchGebunden
619 Seiten
Englisch
Springererschienen am08.03.20172. Aufl.
The second edition of Convex Analysis and Monotone Operator Theory in Hilbert Spaces greatly expands on the first edition, containing over 140 pages of new material, over 270 new results, and more than 100 new exercises.mehr
Verfügbare Formate
BuchGebunden
EUR69,54
BuchKartoniert, Paperback
EUR69,54
E-BookPDF1 - PDF WatermarkE-Book
EUR128,39

Produkt

KlappentextThe second edition of Convex Analysis and Monotone Operator Theory in Hilbert Spaces greatly expands on the first edition, containing over 140 pages of new material, over 270 new results, and more than 100 new exercises.
ZusammenfassungThis book examines results of convex analysis and optimization in Hilbert space, presenting a concise exposition of related theory that allows for algorithms to construct solutions to problems in optimization, equilibrium theory, monotone inclusions and more.
Details
ISBN/GTIN978-3-319-48310-8
ProduktartBuch
EinbandartGebunden
Verlag
Erscheinungsjahr2017
Erscheinungsdatum08.03.2017
Auflage2. Aufl.
ReiheCMS Books in Mathematics
Seiten619 Seiten
SpracheEnglisch
Gewicht1124 g
IllustrationenXIX, 619 p. 18 illus.
Artikel-Nr.40215451

Inhalt/Kritik

Inhaltsverzeichnis
Background.- Hilbert Spaces.- Convex Sets.- Convexity and Notation of Nonexpansiveness.- Fejer Monotonicity and Fixed Point Iterations.- Convex Cones and Generalized Interiors.- Support Functions and Polar Sets.- Convex Functions.- Lower Semicontinuous Convex Functions.- Convex Functions: Variants.- Convex Minimization Problems.- Infimal Convolution.- Conjugation.- Further Conjugation Results.- Fenchel-Rockafellar Duality.- Subdifferentiability of Convex Functions.- Differentiability of Convex Functions.- Further Differentiability Results.- Duality in Convex Optimization.- Monotone Operators.- Finer Properties of Monotone Operators.- Stronger Notions of Monotonicity.- Resolvents of Monotone Operators.- Proximity Operators.- Sums of Monotone Operators.- Zeros of Sums of Monotone Operators.- Fermat's Rule in Convex Optimization.- Proximal Minimization.- Projection Operators.- Best Approximation Algorithms.mehr

Schlagworte

Autor

Heinz H. Bauschke is a Full Professor of Mathematics at the Kelowna campus of the University of British Columbia, Canada.

Patrick L. Combettes, IEEE Fellow, was on the faculty of the City University of New York and of Université Pierre et Marie Curie - Paris 6 before joining North Carolina State University as a Distinguished Professor of Mathematics in 2016.