G-matrices

Number of the records: 1

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SYSNO ASEP	0367339
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	G-matrices
Author(s)	Fiedler, Miroslav (UIVT-O)_{SAI, RID} Hall, F.J. (US)
Source Title	Linear Algebra and Its Applications. - : Elsevier - ISSN 0024-3795 Roč. 436, č. 3 (2012), s. 731-741
Number of pages	11 s.
Language	eng - English
Country	US - United States
Keywords	G-matrix ; Cauchy matrix ; sign pattern matrix ; potentially orthogonal sign pattern
Subject RIV	BA - General Mathematics
CEZ	AV0Z10300504 - UIVT-O (2005-2011)
UT WOS	000297781200021
EID SCOPUS	80655149004
DOI	10.1016/j.laa.2011.08.001
Annotation	We define a new type of matrix called G-matrix as a real nonsingular matrix A for which there exist nonsingular diagonal matrices D1 and D2 such that (A-1)T=D1AD2. Many special matrices are G-matrices including (generalized) Cauchy matrices and orthogonal matrices. A number of properties of G-matrices are obtained. Sign patterns of G-matrices are also investigated.
Workplace	Institute of Computer Science
Contact	Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800
Year of Publishing	2012

Number of the records: 1