Some improvement of Oppenheim's inequality for M-matrices

被引：10

作者：

Liu, JZ

Zhu, L

机构：

[1] Department of Mathematics, Xiangtan University, Xiangtan

来源：

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS | 1997年 / 18卷 / 02期

关键词：

M-matrix; positive definite real symmetric matrix; determinant; Oppenheim's inequality;

D O I：

10.1137/S0895479895296033

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper improves Oppenheim's inequality as follows: if A = (a(ij)) is an M-matrix and B = (b(ij)) is an M-matrix or positive definite real symmetric matrix and AI, and Bk(k = 1, 2,..., n - 1) are the k x k leading principal submatrices of A and B, respectively, then [GRAPHICS]

引用

页码：305 / 311

页数：7