Matrix inequalities by means of embedding

被引：0

作者：

Lei, TG ^{[1
]}

Woo, CW

Zhang, FZ

机构：

[1] Natl Nat Sci Fdn China, Dept Math & Phys Sci, Beijing 100085, Peoples R China

[2] City Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China

[3] Nova SE Univ, Div Math Sci & Technol, Ft Lauderdale, FL 33314 USA

[4] Shenyang Normal Univ, Shenyang, Peoples R China

来源：

ELECTRONIC JOURNAL OF LINEAR ALGEBRA | 2004年 / 11卷

关键词：

eigenvalue; majorization; matrix absolute value; matrix inequality; matrix norm; normal matrix; positive semidefinite matrix; singular value; spread; wielandt inequality;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this expository study some basic matrix inequalities obtained by embedding bilinear forms [Ax, x] and [Ax, y] into 2 x 2 matrices are investigated. Many classical inequalities are reproved or refined by the proposed unified approach. Some inequalities involving the matrix absolute value \A\ are given. A new proof of Ky Fan's singular value majorization theorem is presented.

引用

页码：66 / 77

页数：12