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

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[45] Miscellaneous reverse order laws and their equivalent facts for generalized inverses of a triple matrix product
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[46] On reverse-order laws for least-squares g-inverses and minimum norm g-inverses of a matrix product
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[47] Conjugate gradient-type method for the tensor linear system via the T-product and its application in the calculation of Moore-Penrose inverse
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APPLIED MATHEMATICS AND COMPUTATION, 2024, 472

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