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Convexity and Optimization in Banach Spaces / by Viorel Barbu, Teodor Precupanu
(Springer Monographs in Mathematics. ISSN:21969922)

4th ed. 2012.
出版者 (Dordrecht : Springer Netherlands : Imprint: Springer)
出版年 2012
本文言語 英語
大きさ XII, 368 p : online resource
著者標目 *Barbu, Viorel author
Precupanu, Teodor author
SpringerLink (Online service)
件 名 LCSH:Mathematical optimization
FREE:Optimization
一般注記 Fundamentals of Functional Analysis -- Convex Functions -- Convex Programming -- Convex Control Problems in Banach Spaces
An updated and revised edition of the 1986 title Convexity and Optimization in Banach Spaces, this book provides a self-contained presentation of basic results of the theory of convex sets and functions in infinite-dimensional spaces. The main emphasis is on applications to convex optimization and convex optimal control problems in Banach spaces. A distinctive feature is a strong emphasis on the connection between theory and application. This edition has been updated to include new results pertaining to advanced concepts of subdifferential for convex functions and new duality results in convex programming. The last chapter, concerned with convex control problems, has been rewritten and completed with new research concerning boundary control systems, the dynamic programming equations in optimal control theory and periodic optimal control problems. Finally, the structure of the book has been modified to highlight the most recent progression in the field including fundamental results on the theory of infinite-dimensional convex analysis and includes helpful bibliographical notes at the end of each chapter
HTTP:URL=https://doi.org/10.1007/978-94-007-2247-7
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分 類 LCC:QA402.5-402.6
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書誌ID 4000117545
ISBN 9789400722477

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