Some inequalities for the Hadamard product of an M-matrix and an inverse M-matrix

被引：14

作者：

Zhou, Duanmei ^{[1
]}

Chen, Guoliang ^{[1
]}

Wu, Guoxing ^{[2
]}

Zhang, Xiangyun ^{[1
]}

机构：

[1] E China Normal Univ, Dept Math, Shanghai 200241, Peoples R China

[2] Northeast Forestry Univ, Dept Math, Harbin 150040, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年

基金：

中国国家自然科学基金;

关键词：

M-matrix; Hadamard product; minimum eigenvalue;

D O I：

10.1186/1029-242X-2013-16

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let A and B be nonsingular M-matrices. Some new lower bounds on the minimum eigenvalue q(A circle B-1) for the Hadamard product of A and B-1 are given. These bounds improve the corresponding results of Chen (Linear Algebra Appl. 378:159-166, 2004) and Huang (Linear Algebra Appl. 428:1551-1559, 2008) and generalize the corresponding result of Xiang (Linear Algebra Appl. 367:17-27, 2003).

引用

页数：10

共 10 条

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Xiang, SH
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2003, 367 : 17 - 27
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Yong, XR
Wang, Z
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1999, 288 (1-3) : 259 - 267

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