A note on the partial ordering of matrices referring to singular values or eigenvalues

被引：0

作者：

Liu, Xiaoji ^{[1
]}

机构：

[1] Guangxi Univ Nationalities, Coll Comp & Informat Sci 1, Nanning 53006, Peoples R China

来源：

Advances in Matrix Theory and Applications | 2006年

关键词：

matrix; partial ordering; generalized inverse;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we point out a mistaken in [1] (Linear Algebra and its Application 96(1987):17-26), using strong simultaneous singular-value decomposition we obtain some results on the relation between the minus partial ordering and star partial ordering of the matrices.

引用

页码：69 / 72

页数：4

共 4 条

[1] [Anonymous], 1971, GEN INVERSES MATRICE
[2] PARTIAL ORDERINGS OF MATRICES REFERRING TO SINGULAR-VALUES OR EIGENVALUES
BAKSALARY, JK
HAUKE, J
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1987, 96 : 17 - 26
[3] ON SOME CHARACTERIZATIONS OF THE STAR PARTIAL ORDERING FOR MATRICES AND RANK SUBTRACTIVITY
HARTWIG, RE
STYAN, GPH
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1986, 82 : 145 - 161
[4] ON PARTIAL ORDERINGS ON THE SET OF RECTANGULAR MATRICES
HAUKE, J
MARKIEWICZ, A
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1995, 219 : 187 - 193

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