On a partial order defined by the weighted Moore-Penrose inverse

被引：22
|
作者：
Hernandez, A. [1 ]
Lattanzi, M. [2 ]
Thome, N. [3 ]
机构：
[1] Univ Nacl La Pampa, Fac Ingn, Gen Pico, La Pampa, Argentina
[2] Univ Nacl La Pampa, Fac Ciencias Exactas & Nat, Santa Rosa, La Pampa, Argentina
[3] Univ Politecn Valencia, Inst Univ Matemat Multidisciplinar, Valencia 46022, Spain
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 219卷 / 14期
关键词：
Weighted Moore-Penrose inverse; Weighted-EP matrix; Weighted star partial order; Eigenprojection; MATRIX PARTIAL ORDERINGS;
D O I：
10.1016/j.amc.2013.02.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The weighted Moore-Penrose inverse of a matrix can be used to define a partial order on the set of m x n complex matrices and to introduce the concept of weighted-EP matrices. In this paper we study the weighted star partial order on the set of weighted-EP matrices. In addition, some properties that relate the eigenprojection at zero with the weighted star partial order are obtained. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：7310 / 7318
页数：9
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