On the Block Independence in Reflexive Inner Inverse and M--P Inverse of Block Matrix
Yiju Wang · 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. An analogous set of conditions for three ordered m x n matrices is also derived in this paper.