Some mixed-type reverse-order laws for the moore-penrose inverse of a triple matrix product

被引：12

作者：

Tian, Yongge ^{[1
]}

机构：

[1] Shanghai Univ Finance & Econ, Sch Econ, Shanghai 200433, Peoples R China

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2007年 / 37卷 / 04期

关键词：

EQUALITIES;

D O I：

10.1216/rmjm/1187453116

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using some rank formulas for partitioned matrices and outer inverses of a matrix, we derive necessary and sufficient conditions for a group of mixed-type reverse-order laws to hold for the Moore-Penrose inverse of a triple matrix product.

引用

页码：1327 / 1347

页数：21

共 47 条

[1] 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
[2] On a group of mixed-type reverse-order laws for generalized inverses of a triple matrix product with applications
Tian, Yongge
Liu, Yonghui
ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2007, 16 : 73 - 89
[3] Reverse-order law for weighted Moore-Penrose inverse of tensors
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[4] Triple reverse order law for Moore-Penrose inverse of operator product
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[5] New Identities for Moore-Penrose Inverses of Some Operator Products and Their Reverse-order Laws
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[6] Mixed-Type Reverse-Order Laws for the Generalized Inverses of an Operator Product
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Arabian Journal for Science and Engineering, 2011, 36 : 475 - 486
[7] Mixed-type Reverse Order Law for Moore-Penrose Inverse of Products of Three Elements in Ring with Involution
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FILOMAT, 2014, 28 (10) : 1997 - 2008
[8] Mixed-Type Reverse-Order Laws for the Generalized Inverses of an Operator Product
Xiong, Zhiping
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ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, 2011, 36 (03) : 475 - 486
[9] Reverse-order law for the Moore-Penrose inverses of tensors
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LINEAR & MULTILINEAR ALGEBRA, 2020, 68 (02): : 246 - 264
[10] Some Equalities and Inequalities for the Hermitian Moore-Penrose Inverse of Triple Matrix Product with Applications
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Wenxing GUO
Journal of Mathematical Research with Applications, 2015, 35 (03) : 321 - 329

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