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A Note on the Reverse Order Law for Reflexive Generalized Inverse of Multiple Matrix Products

Applied Mathematics and Computation, 2013
The reverse order law for reflexive generalized inverses of multiple matrix products was introduced and discussed in [M.Wei, Reverse order laws for generalized inverse of multiple matrix products, Linear Algebra Appl., 293 (1999) 273-288]. There the author derived some necessary and sufficient conditions for the reverse order lawA"n{1,2}A"n"-"1{1,2 ...
Zhi-ping Xiong, Yingying Qin
exaly   +2 more sources

On the Block Independence in Reflexive Inner Inverse and M--P Inverse of Block Matrix

SIAM Journal on Matrix Analysis and Applications, 1998
We examine the reflexive inner inverse and M--P inverse of block matrix. First, we give the definitions of block independence in generalized inverse of block matrix, and derive necessary and sufficient conditions for two m x n matrices being block independent in reflexive inner inverse and in M--P inverse.
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The Hermitian reflexive solutions to the matrix inverse problem

Applied Mathematics and Computation, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Weiwei Xu, Wen Li
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On the Block Independence in G–Inverse and Reflexive Inner Inverse of A Partitioned Matrix

Acta Mathematica Sinica, English Series, 2006
Suppose that \(A \in {\mathbb C}^{m\times n}, B \in {\mathbb C}^{m\times p}, C \in {\mathbb C}^{q\times n}\) and \(D \in {\mathbb C}^{q\times p}\), and the matrix \(M\) has the form \(M=\left ( \begin{matrix} A&B \\ C&D\end{matrix} \right )\). \textit{Y. Wang} [SIAM J. Matrix Anal. Appl. 19, No.
Liu, Yong Hui, Wei, Mu Sheng
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