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

[31] A Fast Algorithm of Moore-Penrose Inverse for the Loewner-Type Matrix
Tong, QiuJuan
Liu, SanYang
Lu, Quan
MATHEMATICAL PROBLEMS IN ENGINEERING, 2012, 2012
[32] REVERSE ORDER LAW FOR WEIGHTED MOORE-PENROSE INVERSES OF MULTIPLE MATRIX PRODUCTS
Xiong, Zhiping
Qin, Yingying
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2014, 17 (01): : 121 - 135
[33] Mixed-Type Reverse Order Laws Associated to {1, 3, 4}-Inverse
Haiyan ZHANG
Chunyuan DENG
Journal of Mathematical Research with Applications, 2019, 39 (05) : 529 - 539
[34] The equivalence between (AB)(dagger) = B(dagger)A(dagger) and other mixed-type reverse-order laws
Tian, Yongge
INTERNATIONAL JOURNAL OF MATHEMATICAL EDUCATION IN SCIENCE AND TECHNOLOGY, 2006, 37 (03) : 331 - 339
[35] The mixed-type reverse order laws for generalized inverses of the product of two matrices
Xiong, Zhiping
FILOMAT, 2013, 27 (05) : 937 - 947
[36] On the computation of weighted Moore-Penrose inverse using a high-order matrix method
Soheili, Ali R.
Sofeymani, F.
Petkovic, M. D.
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2013, 66 (11) : 2344 - 2351
[37] Mixed-type reverse-order laws for {1,3,4}-generalized inverses over Hilbert spaces
Liu, Xiaoji
Huang, Shaowu
Cvetkovic-Ilic, Dragana S.
APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (17) : 8570 - 8577
[38] Mixed-type reverse-order laws of (AB)(1,2,3) and (AB)(1,2,4)
Yang, Hu
Liu, Xifu
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (24) : 10361 - 10367
[39] An invariance property related to the mixed-type reverse order laws
Xiong, Zhiping
Qin, Yingying
LINEAR & MULTILINEAR ALGEBRA, 2015, 63 (08): : 1621 - 1634
[40] SOME MULTIVARIATE STATISTICAL TOOLS AND THEIR APPLICATION TO METEOROLOGICAL DATA - MOORE-PENROSE INVERSE AND PROJECTOR MATRIX
GABRIEL, KR
HABER, M
BULLETIN OF THE AMERICAN METEOROLOGICAL SOCIETY, 1973, 54 (03) : 271 - 271

← 1 2 3 4 5 →