Spectral radius of Hadamard product versus conventional product for non-negative matrices

被引：21

作者：

Audenaert, Koenraad M. R. ^{[1
]}

机构：

[1] Univ London, Dept Math, Egham TW20 0EX, Surrey, England

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2010年 / 432卷 / 01期

关键词：

Spectral radius; Hadamard product; Non-negative matrix; Matrix inequality;

D O I：

10.1016/j.laa.2009.08.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove an inequality for the spectral radius of products of non-negative matrices conjectured by Zhan. We show that for all n x n non-negative matrices A and B, rho(A circle B) <= rho(A circle A)(B circle B))(1/2) <= rho(AB), in which circle represents the Hadamard product. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：366 / 368

页数：3