On a decomposition lemma for positive semi-definite block-matrices

被引：24

作者：

Bourin, Jean-Christophe ^{[2
]}

Lee, Eun-Young ^{[1
]}

Lin, Minghua ^{[3
]}

机构：

[1] Kyungpook Natl Univ, Dept Math, Taegu 702701, South Korea

[2] Univ Franche Comte, Math Lab, F-25000 Besancon, France

[3] Univ Waterloo, Dept Appl Math, Waterloo, ON N2L 3G1, Canada

来源：

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

基金：

新加坡国家研究基金会;

关键词：

Operator inequalities; Positive semi-definite matrix; Unitary orbit; Symmetric norm; INEQUALITIES;

D O I：

10.1016/j.laa.2012.04.038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This short note, in part of expository nature, points out several new or recent consequences of a quite nice decomposition for positive semi-definite matrices. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：1906 / 1912

页数：7

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[2]

Bourin J.-C., ARXIV11092384

[3] NORM AND ANTI-NORM INEQUALITIES FOR POSITIVE SEMI-DEFINITE MATRICES [J].

Bourin, Jean-Christophe ;

Hiai, Fumio .

INTERNATIONAL JOURNAL OF MATHEMATICS, 2011, 22 (08) :1121-1138

[4]

Hiai F., 2010, Interdiscip. Inf. Sci, V16, P139, DOI DOI 10.4036/IIS.2010.139

[5]

Lin M., LINEAR MULT IN PRESS

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