A polynomial approach to linear algebra

＜図書＞
A polynomial approach to linear algebra

責任表示	Paul A. Fuhrmann
シリーズ	Universitext
データ種別	図書
出版情報	New York ; Tokyo : Springer , c1996
本文言語	英語
大きさ	xiii, 360 p. ; 24 cm
概要	"A Polynomial Approach to Linear Algebra" is a text which is heavily biased towards functional methods. In using the shift operator as a central object, it makes linear algebra a perfect introduction...to other areas of mathematics, operator theory in particular. This technique is very powerful as becomes clear from the analysis of canonical forms (Frobenius, Jordan). It should be emphasized that these functional methods are not only of great theoretical interest, but lead to computational algorithms. Quadratic forms are treated from the same perspective, with emphasis on the important examples of Bezoutian and Hankel forms. These topics are of great importance in applied areas such as signal processing, numerical linear algebra, and control theory. Stability theory and system theoretic concepts, up to realization theory, are treated as an integral part of linear algebra. Finally there is a chapter on Hankel norm approximation for the case of scalar rational functions which allows the reader to access ideas and results on the frontier of current research. 続きを見る
電子版へのリンク	https://hdl.handle.net/2324/6869111

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	FUHR/10/2	1996		023211996008303		予約・取寄			予約・取寄

一般注記	Includes bibliographical references (p. [353]-356) and index
著者標目	*Fuhrmann, Paul Abraham, 1983-
件　名	LCSH:Algebras, Linear
分　類	LCC:QA184 DC20:512/.5
書誌ID	1001396026
ISBN	0387946438
NCID	BA27975311
巻冊次	ISBN:0387946438
登録日	2009.11.02
更新日	2017.02.18