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Convex Analysis and Monotone Operator Theory in Hilbert Spaces

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Published by Springer Science+Business Media, LLC in New York, NY .
Written in English

Subjects:

  • Mathematics,
  • Mathematical optimization,
  • Algorithms,
  • Visualization

Book details:

Edition Notes

Statementby Heinz H. Bauschke, Patrick L. Combettes
SeriesCMS Books in Mathematics, Ouvrages de mathématiques de la SMC
ContributionsCombettes, Patrick L., SpringerLink (Online service)
The Physical Object
Format[electronic resource] /
ID Numbers
Open LibraryOL27027349M
ISBN 109781441994660, 9781441994677

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The second edition of Convex Analysis and Monotone Operator Theory in Hilbert Spaces greatly expands on the first edition, containing over pages of new material, over new results, and more than new by: Convex Analysis and Monotone Operator Theory in Hilbert Spaces Heinz H. Bauschke, Patrick L. Combettes (auth.) This reference text, now in its second edition, offers a modern unifying presentation of three basic areas of nonlinear analysis: convex analysis, monotone operator theory, and the fixed point theory of nonexpansive operators. In convex analysis, the most suitable notion of a transform is the Legendre transform, which maps a function to its Fenchel conjugate. This transform is studied in detail in this chapter. In. Home Browse by Title Books Convex Analysis and Monotone Operator Theory in Hilbert Spaces. Convex Analysis and Monotone Operator Theory in Hilbert Spaces May May Read More. Authors: Heinz H. Bauschke.

Convex Analysis and Monotone Operator Theory in Hilbert Spaces CMS Books in Mathematics: : Bauschke, Heinz H., Combettes, Patrick L.: Libros en idiomas extranjerosReviews: 3. This book presents a largely self-contained account of the main results of convex analysis, monotone operator theory, and the theory of nonexpansive operators in the context of Hilbert spaces. Unlike existing literature, the novelty of this book, and indeed its central theme, is the tight interplay among the key notions of convexity, monotonicity, and nonexpansiveness/5(3). The second edition of Convex Analysis and Monotone Operator Theory in Hilbert Spaces greatly expands on the first edition, containing over pages of new material, over new results, and more than new exercises. It features a new chapter on proximity operators including two sections on proximity operators of matrix functions, in Format: Gebundenes Buch. This book provides a largely self-contained account of the main results of Convex analysis and optimization in Hilbert space. A concise exposition of related constructive fixed point theory is presented, that allows for a wide range of algorithms to construct solutions to problems in optimization, equilibrium theory, monotone inclusions, variational inequalities, best approximation theory, and.

This book presents a largely self-contained account of the main results of convex analysis, monotone operator theory, and the theory of nonexpansive operators in the context of Hilbert spaces. Unlike existing literature, the novelty of this book, and indeed its central theme, is the tight interplay among the key notions of convexity, monotonicity, and by: Convex Analysis and Monotone Operator Theory in Hilbert Spaces May May Read More. Authors: Convex Analysis and Monotone Operator Theory in Hilbert Spaces. Abstract. This book provides a largely self-contained account of the main results of convex analysis and optimization in Hilbert space. A concise exposition of related. Convex Analysis and Monotone Operator Theory in Hilbert Spaces This book presents a largely self-contained account of the main results of convex analysis, monotone operator theory, and the theory of nonexpansive operators in the contextFile Size: KB. The proximity operator of a convex function is a natural extension of the notion of a projection operator onto a convex set. This tool, which plays a central role in the analysis and the numerical solution of convex optimization problems, has recently been introduced in the arena of inverse problems and, especially, in signal processing, where it has become increasingly important.