Several inequalities involving Khatri-Rao products of positive semidefinite matrices

被引：21
|
作者：
Liu, SZ [1 ]
机构：
[1] Australian Natl Univ, Sch Math Sci, Canberra, ACT 0200, Australia
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2002年 / 354卷
关键词：
Khatri-Rao product; Tracy-Singh product; Hadamard product; Kronecker product; MoorePenrose inverse; matrix inequality;
D O I：
10.1016/S0024-3795(02)00338-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Khatri-Rao and Tracy-Singh products for partitioned matrices are viewed as generalized Hadamard and generalized Kronecker products, respectively. Based on the connection between the Khatri-Rao and Tracy-Singh products, we establish new inequalities involving Khatri-Rao products of positive semidefinite matrices. The results lead to inequalities involving Hadamard products, as a special case. (C) 2002 Elsevier Science Inc. All rights reserved.
引用
收藏
页码：175 / 186
页数：12
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