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Totally Convex Functions for Fixed Points Computation and Infinite Dimensional Optimization: v. 40 - Rilegato
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The main purpose of this book is to present, in a unified approach, several algorithms for fixed point computation, convex feasibility and convex optimization in infinite dimensional Banach spaces, and for problems involving, eventually, infinitely many constraints. For instance, methods like the simultaneous projection algorithm for feasibility, the proximal point algorithm and the augmented Lagrangian algorithm are rigorously formulated and analyzed in this general setting and shown to be applicable to much wider classes of problems than previously known. For this purpose, a new basic concept, "total convexity", is introduced. Its properties are deeply explored, and a comprehensive theory is presented, bringing together previously unrelated ideas from Banach space geometry, finite dimensional convex optimization and functional analysis. For making a general approach possible the work aims to improve upon classical results like the Holder-Minkowsky inequality of ℒp. This book should be of interest to both researchers in nonlinear analysis and to applied mathematicians dealing with numerical solution of integral equations, equilibrium problems, image reconstruction, and optimal control.
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Contenuti
Introduction. 1. Totally Convex Functions. 2. Computation of Fixed Points. 3. Infinite Dimensional Optimization. Bibliography. Index.
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Totally Convex Functions for Fixed Points Computation and Infinite Dimensional Optimization
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The main purpose of this book is to present, in a unified approach, several algorithms for fixed point computation, convex feasibility and convex optimization in infinite dimensional Banach spaces, and for problems involving, eventually, infinitely many constraints. For instance, methods like the simultaneous projection algorithm for feasibility, the proximal point algorithm and the augmented Lagrangian algorithm are rigorously formulated and analyzed in this general setting and shown to be applicable to much wider classes of problems than previously known. For this purpose, a new basic concept, `total convexity', is introduced. Its properties are deeply explored, and a comprehensive theory is presented, bringing together previously unrelated ideas from Banach space geometry, finite dimensional convex optimization and functional analysis. For making our general approach possible we had to improve upon classical results like the Hölder-Minkowsky inequality of Lp. All the material is either new or very recent, and has never been organized in a book. Audience: This book will be of interest to both researchers in nonlinear analysis and to applied mathematicians dealing with numerical solution of integral equations, equilibrium problems, image reconstruction, optimal control, etc. 224 pp. Englisch. Codice articolo 9780792362876
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Totally Convex Functions for Fixed Points Computation and Infinite Dimensional Optimization (Applied Optimization)
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Da: AHA-BUCH GmbH, Einbeck, Germania
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Buch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - The main purpose of this book is to present, in a unified approach, several algorithms for fixed point computation, convex feasibility and convex optimization in infinite dimensional Banach spaces, and for problems involving, eventually, infinitely many constraints. For instance, methods like the simultaneous projection algorithm for feasibility, the proximal point algorithm and the augmented Lagrangian algorithm are rigorously formulated and analyzed in this general setting and shown to be applicable to much wider classes of problems than previously known. For this purpose, a new basic concept, `total convexity', is introduced. Its properties are deeply explored, and a comprehensive theory is presented, bringing together previously unrelated ideas from Banach space geometry, finite dimensional convex optimization and functional analysis. For making our general approach possible we had to improve upon classical results like the Hölder-Minkowsky inequality of Lp. All the material is either new or very recent, and has never been organized in a book. Audience: This book will be of interest to both researchers in nonlinear analysis and to applied mathematicians dealing with numerical solution of integral equations, equilibrium problems, image reconstruction, optimal control, etc. Codice articolo 9780792362876
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Totally Convex Functions for Fixed Points Computation and Infinite Dimensional Optimization
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Totally Convex Functions for Fixed Points Computation and Infinite Dimensional Optimization
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Totally Convex Functions for Fixed Points Computation and Infinite Dimensional Optimization
Editore:
Springer Netherlands|Springer, Berlin, 2000
ISBN 10: 079236287X
ISBN 13: 9780792362876
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Da: moluna, Greven, Germania
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Condizione: New. The main purpose of this book is to present, in a unified approach, several algorithms for fixed point computation, convex feasibility and convex optimization in infinite dimensional Banach spaces, and for problems involving, eventually, infinitely many con. Codice articolo 898699151
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TOTALLY CONVEX FUNCTIONS FOR FIXED POINTS COMPUTATION AND INFINITE DIMENSIONAL OPTIMIZATION
Editore:
Kluwer Academic Publishers, Dordrecht, 2000
ISBN 10: 079236287X
ISBN 13: 9780792362876
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Hardcover. Octavo, 202 pages. In Very Good minus condition. White spine with yellow and purple text. Yellow text on spine is barely legible. Boards have mild shelfwear, rubbing to corners, and bumping to spine edges. Textblock clean. NOTE: Shelved in Netdesk Column R (ND-R). 1377333. FP New Rockville Stock. Codice articolo 1377333
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Totally Convex Functions for Fixed Points Computation and Infinite Dimensional Optimization
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