EQUIVALENT CONDITIONS FOR THE REVERSE ORDER PROPERTY INVARIANCE UNDER GENERALIZED INVERSES OF MATRICES

被引：0

作者：

Zekraoui, Hanifa ^{[1
]}

Guedjiba, Said ^{[2
]}

机构：

[1] LArbi Ben MHidi Univ, Fac Sci, Dept Math, Oum El Bouaghi 04000, Algeria

[2] Batna Univ, Fac Sci, Dept Math, Batna 05000, Algeria

来源：

ICMS: INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCE | 2010年 / 1309卷

关键词：

Generalized Inverse; Reverse Order; Rank; Range; PRODUCT;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

The property of "reverse order law" related to generalized inverses of a matrix product AB, is the property (AB)(-) = B- A(-) for some A(-), B- and (AB)(-) generalized inverses of A, B and AB respectively. When this property holds for all generalized inverses of them, which means that it is invariant under generalized inverses, we call this "reverse order property invariance". In this paper we will investigate certain invariance properties of the product AB(-)C for studing some equivalent conditions for the reverse order property invariance. The references of Y. Tian will be the basic idea of the proofs throughout the paper.

引用

页码：927 / +

页数：3

共 50 条

[31] An invariance property related to the mixed-type reverse order laws
Xiong, Zhiping
Qin, Yingying
LINEAR & MULTILINEAR ALGEBRA, 2015, 63 (08): : 1621 - 1634
[32] A new equivalent condition of the reverse order law for G-inverses of multiple matrix products
Zheng, Bing
Xiong, Zhiping
ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2008, 17 : 1 - 8
[33] Mixed-Type Reverse-Order Laws for the Generalized Inverses of an Operator Product
Xiong, Zhiping
Qin, Yingying
ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, 2011, 36 (03) : 475 - 486
[34] Reverse order laws for least squares g-inverses and minimum norm g-inverses of products of two matrices
Wei, MS
Guo, WB
LINEAR ALGEBRA AND ITS APPLICATIONS, 2002, 342 (1-3) : 117 - 132
[35] Mixed-Type Reverse-Order Laws for the Generalized Inverses of an Operator Product
Zhiping Xiong
Yingying Qin
Arabian Journal for Science and Engineering, 2011, 36 : 475 - 486
[36] Reverse order laws for {1,3,4}-generalized inverses in C*-algebras
Cvetkovic-Ilic, Dragana S.
APPLIED MATHEMATICS LETTERS, 2011, 24 (02) : 210 - 213
[37] Applications of completions of operator matrices to reverse order law for {1}-inverses of operators on Hilbert spaces
Pavlovic, V.
Cvetkovic-Ilic, D. S.
LINEAR ALGEBRA AND ITS APPLICATIONS, 2015, 484 : 219 - 236
[38] The Kellogg property under generalized growth conditions
Harjulehto, Petteri
Juusti, Jonne
MATHEMATISCHE NACHRICHTEN, 2022, 295 (02) : 345 - 362
[39] Two groups of mixed reverse order laws for generalized inverses of two and three matrix products
Yongge Tian
Computational and Applied Mathematics, 2020, 39
[40] Two groups of mixed reverse order laws for generalized inverses of two and three matrix products
Tian, Yongge
COMPUTATIONAL & APPLIED MATHEMATICS, 2020, 39 (03):

← 1 2 3 4 5 →