INERTIA-PRESERVING MATRICES

被引：6

作者：

BERMAN, A

SHASHA, D

机构：

来源：

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS | 1991年 / 12卷 / 02期

关键词：

INERTIA-PRESERVING MATRICES; DIAGONALLY STABLE AND SEMISTABLE MATRICES; D-STABLE MATRICES; IRREDUCIBLE ACYCLIC MATRICES;

D O I：

10.1137/0612017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A real matrix A is inertia preserving if in AD = in D, for every invertible diagonal matrix D. This class of matrices is a subset of the D-stable matrices and contains the diagonally stable matrices. In order to study inertia-preserving matrices, matrices that have no imaginary eigenvalues are characterized. This is used to characterize D-stability of stable matrices. It is also shown that irreducible, acyclic D-stable matrices are inertia preserving.

引用

页码：209 / 219

页数：11

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