A new proof of the reverse order law for Moore-Penrose inverse

被引：0

作者：

Zheng, Bing ^{[1
]}

Xiong, Zhiping ^{[1
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China

来源：

Advances in Matrix Theory and Applications | 2006年

关键词：

Moore-Penrose inverse; weighted Moore-Penrose inverse; reverse order law; generalized Schur complement;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using the ranks of generalized Schur complements, a new proof of the reverse order law for Moore-Penrose inverse and more necessary and sufficient conditions are presented. Similar proof and conditions be extended to the weighted Moore-Penrose inverse.

引用

页码：154 / 157

页数：4

共 50 条

[21] REVERSE ORDER LAW FOR WEIGHTED MOORE-PENROSE INVERSES OF MULTIPLE MATRIX PRODUCTS
Xiong, Zhiping
Qin, Yingying
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2014, 17 (01): : 121 - 135
[22] Constructions and characterizations of mixed reverse-order laws for the Moore-Penrose inverse and group inverse
Tian, Yongge
GEORGIAN MATHEMATICAL JOURNAL, 2024, 31 (06) : 1049 - 1062
[23] Perturbation results and forward order law for the Moore-Penrose inverse in rings with involution
Mihajlovic, Nadica
Djordjevic, Dragan S.
GEORGIAN MATHEMATICAL JOURNAL, 2022, 29 (03) : 425 - 439
[24] Mixed-type Reverse Order Law for Moore-Penrose Inverse of Products of Three Elements in Ring with Involution
Wang, Long
Zhang, Shuang Shuang
Zhang, Xiao Xiang
Chen, Jian Long
FILOMAT, 2014, 28 (10) : 1997 - 2008
[25] Reverse-order law for weighted Moore–Penrose inverse of tensors
Krushnachandra Panigrahy
Debasisha Mishra
Advances in Operator Theory, 2020, 5 : 39 - 63
[26] On a partial order defined by the weighted Moore-Penrose inverse
Hernandez, A.
Lattanzi, M.
Thome, N.
APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (14) : 7310 - 7318
[27] Reverse order law for the weighted Moore–Penrose inverse in C*-algebras
Dijana Mosić
Aequationes mathematicae, 2013, 85 : 465 - 470
[28] Generalization of the Moore-Penrose inverse
Stojanovic, Katarina S.
Mosic, Dijana
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2020, 114 (04)
[29] A CHARACTERIZATION OF THE MOORE-PENROSE INVERSE
FIEDLER, M
MARKHAM, TL
LINEAR ALGEBRA AND ITS APPLICATIONS, 1993, 179 : 129 - 133
[30] The Moore-Penrose inverse of a factorization
Patrício, P
LINEAR ALGEBRA AND ITS APPLICATIONS, 2003, 370 : 227 - 235

← 1 2 3 4 5 →