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<図書>
Mathematics of optimization : smooth and nonsmooth case

責任表示 G. Giorgi, A. Guerraggio, J. Thierfelder
データ種別 図書
1st ed
出版情報 Amsterdam ; Tokyo : Elsevier , 2004
本文言語 英語
大きさ xv, 598 p. : ill. ; 23 cm
概要 The book is intended for people (graduates, researchers, but also undergraduates with a good mathematical background) involved in the study of (static) optimization problems (in finite-dimensional spa...es). It contains a lot of material, from basic tools of convex analysis to optimality conditions for smooth optimization problems, for non smooth optimization problems and for vector optimization problems. The development of the subjects are self-contained and the bibliographical references are usually treated in different books (only a few books on optimization theory deal also with vector problems), so the book can be a starting point for further readings in a more specialized literature. Assuming only a good (even if not advanced) knowledge of mathematical analysis and linear algebra, this book presents various aspects of the mathematical theory in optimization problems. The treatment is performed in finite-dimensional spaces and with no regard to algorithmic questions. After two chapters concerning, respectively, introductory subjects and basic tools and concepts of convex analysis, the book treats extensively mathematical programming problems in the smmoth case, in the nonsmooth case and finally vector optimization problems. Self-contained Clear style and results are either proved or stated precisely with adequate references The authors have several years experience in this field Several subjects (some of them non usual in books of this kind) in one single book, including nonsmooth optimization and vector optimization problems Useful long references list at the end of each chapter 続きを見る
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所蔵情報



理系図3F 数理独自 GIOR/20/1 2004
023212004004355

書誌詳細

一般注記 Includes bibliographical references and index
著者標目 *Giorgi, G. (Giorgio)
Guerraggio, Angelo, 1948-
Thierfelder, J.
件 名 LCSH:Mathematical optimization
LCSH:Nonlinear programming
分 類 LCC:QA402.5
DC22:519.6
書誌ID 1001396855
ISBN 0444505504
NCID BA68184317
巻冊次 ISBN:0444505504
登録日 2009.11.02
更新日 2009.11.02