On a question of Bhatia and Kittaneh

被引：29

作者：

Drury, S. W. ^{[1
]}

机构：

[1] McGill Univ, Dept Math & Stat, Montreal, PQ H3A 0B9, Canada

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2012年 / 437卷 / 07期

关键词：

Positive definite matrix; Arithmetic mean; Geometric mean; Eigenvalue; Singular value;

D O I：

10.1016/j.laa.2012.04.040

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We settle in the affirmative a question of Bhatia and Kittaneh. For P and Q positive semidefinite n x n matrices, the inequality root sigma(r)(PQ) <= 1/2 lambda(r)(P + Q) holds for r = 1, 2,..., n. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：1955 / 1960

页数：6

共 6 条

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[3]

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[5]

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[6]

Zhan X, 2002, MATRIX INEQUALITIES, Vvi

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