Inequalities and equalities for the Cartesian decomposition of complex matrices

被引：13

作者：

Cheng, CM ^{[1
]}

Horn, RA

Li, CK

机构：

[1] Univ Macau, Fac Sci & Technol, Taipa, Macau, Peoples R China

[2] Univ Utah, Dept Math, Salt Lake City, UT 84112 USA

[3] Coll William & Mary, Dept Math, Williamsburg, VA 23187 USA

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2002年 / 341卷

关键词：

eigenvalues; singular values; equality case of inequalities; Cartesian decomposition; majorization;

D O I：

10.1016/S0024-3795(01)00373-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let A and B be Hermitian matrices and let C = A + iB. Inequalities and equalities for the eigenvalues and singular values of the matrices A, B, and C are discussed. Known results on inequalities are surveyed, new results on equality cases are proved, and open problems are mentioned. (C) 2002 Elsevier Science Inc. All rights reserved.

引用

页码：219 / 237

页数：19

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