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<図書>
A combinatorial approach to matrix theory and its applications

責任表示 Richard A. Brualdi, Dragoš Cvetković
シリーズ Discrete mathematics and its applications / Kenneth H. Rosen, series editor ; 52
データ種別 図書
出版者 Boca Raton : CRC Press
出版年 c2009
本文言語 英語
大きさ xiii, 267 p. : ill. ; 25 cm
概要 With their unique approach, which includes combinatorial and graph-theoretical to develop basic theorems of matrix theory, Brualdi (mathematics, U. of Wisconsin-Madison) and Cvetkovic (mathematics, U....of Belgrade) make matrix theory relatively simple. They review the basics, such as terminology, graph theory, counting formulas, fields and vector spaces. They then explain the algebra of matrices and introduce the Konig digraph, matrix powers and their description, and the Coates digraph of a matrix. They use the Coates digraph to define fundamental properties of determinants that include the Binet-Cauchy formula and the Laplace development of the determinant along a row or column, developing the elementary theory of solutions and systems of linear equations, and showing how the Coates digraph can be used to solve a linear system. They proceed to a combinatorial argument for the classical Cayley-Hamilton theorem and describe non-negative matrices and their special properties. Annotation ©2008 Book News, Inc., Portland, OR (booknews.com) 続きを見る

所蔵情報


理系図3F 数理独自 023212008003915 BRUA/10/4 2009

書誌詳細

一般注記 Includes bibliographical references (p.253-260) and index
"A Chapman & Hall book"
著者標目 *Brualdi, Richard A
Cvetković, Dragoš
件 名 LCSH:Matrices
LCSH:Combinatorial analysis
分 類 LCC:QA188
DC22:512.9/434
書誌ID 1001350001
ISBN 9781420082234
NCID BA87052007
巻冊次 ISBN:9781420082234
登録日 2009.09.18
更新日 2009.11.02

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