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

页码：7310 / 7318

页数：9

共 21 条

[1] [Anonymous], 1971, Generalized Inverses of Matrices and its Applications
[2] [Anonymous], 2001, Matrix Analysis and Applied Linear Algebra
[3] CHARACTERIZATIONS OF THE BEST LINEAR UNBIASED ESTIMATOR IN THE GENERAL GAUSS-MARKOV MODEL WITH THE USE OF MATRIX PARTIAL ORDERINGS
BAKSALARY, JK
PUNTANEN, S
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1990, 127 : 363 - 370
[4] Baksalary JK, 1994, INST MATH S, V24, P111, DOI 10.1214/lnms/1215463789
[5] Further relationships between certain partial orders of matrices and their squares
Baksalary, JK
Baksalary, OM
Liu, XJ
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2003, 375 : 171 - 180
[6] Ben-Israel A., 2003, Generalized inverses: theory and applications
[7] Campbell SL., 1991, Generalized Inverse of Linear Transformations
[8] Characterizations of matrices which eigenprojections at zero are equal to a fixed perturbation
Castro-González, N
Vélez-Cerrada, J
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2004, 159 (03) : 613 - 623
[9] Castro-Gonzalez N., 2000, LINEAR ALGEBRA ITS A, V312, P335
[10] Castro-Gonzalez N., 2002, APPL ANAL, V81, P915

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