New inequalities on eigenvalues of the Hadamard product and the Fan product of matrices

被引：3

作者：

Guo, Qian-Ping ^{[1
]}

Li, Hou-Biao ^{[1
]}

Song, Ming-Yan ^{[1
]}

机构：

[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, 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：

Hadamard product; nonnegative matrices; spectral radius; Fan product; M-matrix; minimum eigenvalue; BOUNDS;

D O I：

10.1186/1029-242X-2013-433

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the paper, some new upper bounds for the spectral radius of the Hadamard product of nonnegative matrices, and the low bounds for the minimum eigenvalue of the Fan product of nonsingular M-matrices are given. These new bounds improve existing results, and the estimating formulas are easier to calculate since they only depend on the entries of matrices. Finally, some examples are also given to show that the bounds are better than some previous results.

引用

页数：11

共 8 条

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