A converse of a matrix inequality

被引：1
|
作者：
Alzer, H
机构：
[1] Morsbacher Strasse 10
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2001年 / 323卷 / 1-3期
关键词：
matrix inequality; Cauchy's inequality;
D O I：
10.1016/S0024-3795(00)00259-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove: if (x(ij)) is an m x n matrix with non-negative real entries, which are not all equal to 0, then [GRAPHICS] with the best possible lower bound [GRAPHICS] Our theorem complements a result of E.R. van Dam [Linear Algebra Appl. 280 (1998) 163], who established that in the case of real entries the best possible upper bound is equal to 1, (C) 2001 Elsevier Science Inc. All rights reserved. AMS classification: 15A45; 26D15.
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页码：195 / 199
页数：5
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