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<図書>
Connectedness and necessary conditions for an extremum

責任表示 by Alexander P. Abramov
シリーズ Mathematics and its applications ; v. 431
データ種別 図書
出版者 Dordrecht ; Boston, Mass. : Kluwer Academic Publishers
出版年 c1998
本文言語 英語
大きさ xi, 199 p. : ill. ; 25 cm
概要 For mathematicians and graduate students interested in optimization, optimal control, and mathematical economics, investigates the necessary conditions of an extremum in which topological connectednes... plays a major role. Presenting new and original results, synthesizes the Dybrovitskii-Milyutin approach based on functional analysis with topological methods to derive the supposed alternative conditions of an extremum, that is, if the Euler equation has the trivial solution only at an extreme point, then some inclusion is valid for the functionals belonging to the dual space. Also explains why the Kuhn- Tucker theorem establishes the restrictions on the signs of the Lagrange multipliers for the inequality restraint but no analogous restrictions on the multipliers for the equality constraints. Translated and revised from the 1996 Russian edition published by Computing Centre RAS Publications, Moscow. Annotation copyrighted by Book News, Inc., Portland, OR続きを見る

所蔵情報


理系図3F 数理独自 023211998001122 ABRA/43/1 c1998

芸工2階 072032198001402 415.2/A14 1998

書誌詳細

別書名 原タイトル:Связность и необходимые условия экстремума
原タイトル:Svi︠a︡znostʹ i neobkhodimye uslovii︠a︡ ėkstremuma
一般注記 Includes bibliographical references (p. 189-195) and index
著者標目 *Abramov, A. P. (Alksandr Petrovich)
統一書名標目 Svi︠a︡znostʹ i neobkhodimye uslovii︠a︡ ėkstremuma
件 名 LCSH:Topological spaces
LCSH:Convex functions
LCSH:Connections (Mathematics)
LCSH:Maxima and minima
分 類 LCC:QA322
DC21:519.3
書誌ID 1001245466
ISBN 0792349105
NCID BA3543884X
巻冊次 ISBN:0792349105
登録日 2009.09.18
更新日 2009.11.02

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