A class of P-matrices with applications to the localization of the eigenvalues of a real matrix

被引：92

作者：

Peña, JM ^{[1
]}

机构：

[1] Univ Zaragoza, Dept Matemat Aplicada, E-50009 Zaragoza, Spain

来源：

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS | 2001年 / 22卷 / 04期

关键词：

Gerschgorin circles; P-matrix; eigenvalues localization; sign-regular matrix; symmetric matrix;

D O I：

10.1137/S0895479800370342

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A matrix with positive row sums and all its off-diagonal elements bounded above by their corresponding row means is called a B-matrix. It is proved that the class of B-matrices is a subset of the class of P-matrices. Properties of B-matrices are used to localize the real eigenvalues of a real matrix and the real parts of all eigenvalues of a real matrix.

引用

页码：1027 / 1037

页数：11

共 9 条

[1] TOTALLY POSITIVE MATRICES [J].