Rearrangement inequalities for Hermitian matrices

被引：12

作者：

Tie, Lin ^{[1
]}

Cai, Kai-Yuan ^{[1
]}

Lin, Yan ^{[1
]}

机构：

[1] Beijing Univ Aeronaut & Astronaut, Sch Automat Sci & Elect Engn, Beijing 100191, Peoples R China

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2011年 / 434卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Matrix inequalities; Rearrangement inequality; Hermitian matrices; Determinant; Permanent; Trace; Kronecker product; Hadamard product;

D O I：

10.1016/j.laa.2010.08.043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Hermitian matrices can be thought of as generalizations of real numbers. Many matrix inequalities, especially for Hermitian matrices, are derived from their scalar counterparts. In this paper, the Hardy-Littlewood-Polya rearrangement inequality is extended to Hermitian matrices with respect to determinant, trace, Kronecker product, and Hadamard product. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：443 / 456

页数：14

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