Toeplitz matrices, asymptotic linear algebra, and functional analysis

＜図書＞
Toeplitz matrices, asymptotic linear algebra, and functional analysis

責任表示	Albercht Böttcher, Sergei M. Grudsky
データ種別	図書
出版情報	Basel : Birkhäuser Verlag , 2000
本文言語	英語
大きさ	x, 116 p. ; 24 cm
概要	This text is a self-contained introduction to some problems for Toeplitz matrices that are placed in the borderland between linear algebra and functional analysis. The text looks at Toeplitz matrices...with rational symbols, and focuses attention on the asymptotic behavior of the singular values, which includes the behavior of the norms, the norms of the inverses, and the condition numbers as special cases. The text illustrates that the asymptotics of several linear algebra characteristics depend in a fascinating way on functional analytic properties of infinite matrices. Many convergence results can very comfortably be obtained by working with appropriate C*-algebras, while refinements of these results, for example, estimates of the convergence speed, nevertheless require hard analysis. 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
		理系図3F 数理独自	BOTT/15/4	2000		023212000001862		予約・取寄			予約・取寄

一般注記	Includes bibliographical references (p. [107]-112) and index
著者標目	Böttcher, Albercht Grudsky, Sergei M.
書誌ID	1001386226
ISBN	3764362901
NCID	BA46807405
巻冊次	ISBN:3764362901
登録日	2009.11.02
更新日	2009.11.02