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

页码：731 / 741

页数：11

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