G-matrices

被引：21
|
作者：
Fiedler, Miroslav [1 ]
Hall, Frank J. [2 ]
机构：
[1] Acad Sci Czech Republic, Inst Comp Sci, Prague 18207 8, Czech Republic
[2] Georgia State Univ, Dept Math & Stat, Atlanta, GA 30303 USA
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2012年 / 436卷 / 03期
关键词：
G-matrix; Cauchy matrix; Sign pattern matrix; Potentially orthogonal sign pattern; COMPLEMENTARY BASIC MATRICES;
D O I：
10.1016/j.laa.2011.08.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We define a new type of matrix called G-matrix as a real nonsingular matrix A for which there exist nonsingular diagonal matrices D(1) and D(2) such that (A(-1))(T) = D(1)AD(2). 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. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：731 / 741
页数：11
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