Totally Convex Functions for Fixed Points Computation and Infinite Dimensional Optimization

Language: English

Published by SPRINGER NATURE Mai 2000, 2000

079236287X / 9780792362876

Series: Book 3 of 20 - Applied Optimization

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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.

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Hardcover

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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.…

Seller Inventory # 9780792362876

Title
Totally Convex Functions for Fixed Points Computation and Infinite Dimensional Optimization
Author
Dan Butnariu
Publisher
SPRINGER NATURE Mai 2000
Publication year
2000
Condition
Neu
Binding
Buch
Language
English
ISBN 10
079236287X
ISBN 13
9780792362876
Item weight
506 grams
Dimensions
241x160x18 mm
Series
Book 3 of 20: Applied Optimization

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Germany

5-star seller

AbeBooks seller since January 11, 2012

Shipping rates from Germany to U.S.A.

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BuchWeltWeit Ludwig Meier e.K.

Germany