Some new bounds on the spectral radius of matrices

被引：14
|
作者：
Liu, Qingbing [1 ,2 ]
Chen, Guoliang [1 ]
Zhao, Linlin [1 ]
机构：
[1] E China Normal Univ, Dept Math, Shanghai 200241, Peoples R China
[2] Zhejiang Wanli Univ, Dept Math, Ningbo 315100, Zhejiang, Peoples R China
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2010年 / 432卷 / 04期
基金：
上海市自然科学基金; 中国国家自然科学基金;
关键词：
M-matrix; Nonnegative matrices; Fan product; Hadamard product; Spectral radius;
D O I：
10.1016/j.laa.2009.10.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new lower bound on the smallest eigenvalue tau(A * B) for the Fan product of two nonsingular M-matrices A and B is given. Meanwhile, we also obtain a new upper bound on the spectral radius rho(A o B) for nonnegative matrices A and B. These bounds improve some results of Huang (2008) [R. Huang, Some inequalities for the Hadamard product and the Fan product of matrices, Linear Algebra Appl. 428 (2008) 1551-1559]. Crown Copyright (C) 2009 Published by Elsevier Inc. All rights reserved.
引用
收藏
页码：936 / 948
页数：13
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