Lagrange multiplier approach to variational problems and applications

＜図書＞
Lagrange multiplier approach to variational problems and applications

責任表示	Kazufumi Ito, Karl Kunisch
シリーズ	Advances in design and control / editor-in-chief, John A. Burns
データ種別	図書
出版情報	Philadelphia : Society for Industrial and Applied Mathematics , c2008
本文言語	英語
大きさ	xviii, 341 p. ; 26 cm
概要	Ito (mathematics, North Carolina State U.) and Kunisch (mathematics, Technical U. of Graz, Austria) describe a multiplier theory that applies to the analysis of the general class of nonlinear variatio... problems. In this monograph they focus on the Lagrange multiplier theory, showing how it contributes to the development of numerical algorithms for problems posed in a function space setting. They fully describe infinite dimensional analysis, proper discretation, and the relationship between the two as they explain the existence of Lagrange multipliers, sensitivity analysis techniques, including Lipschitz continuity, first order augmented Lagrangians for equality and finite rank inequality constraints, augmented Lagrangian methods for non-smooth or convex optimization, Newton and sequential quadratic programming (SQP) methods, augmented Lagrangian-SQP methods, the primal-dual active set method, semismooth Newton methods, including applications, parabolic variational inequalities, and shape optimization. Annotation ©2008 Book News, Inc., Portland, OR (booknews.com) 続きを見る

状態	巻次	所蔵場所	請求記号	刷年	文庫名称	資料番号	コメント	予約・取寄	複写申込	自動書庫
	pbk.	理系図3F 数理独自	ITO,/18/1	2008		023212008008551		予約・取寄			予約・取寄

一般注記	Includes bibliographical references (p. 327-338) and index
著者標目	*Ito, Kazufumi Kunisch, K. (Karl), 1952-
件　名	LCSH:Linear complementarity problem LCSH:Variational inequalities (Mathematics) LCSH:Multipliers (Mathematical analysis) LCSH:Lagrangian functions LCSH:Mathematical optimization
分　類	LCC:QA402.5 DC22:519.3
書誌ID	1001240408
ISBN	9780898716498
NCID	BA8770005X
巻冊次	pbk. ; ISBN:9780898716498
登録日	2009.09.18
更新日	2009.11.02