Group inverse for the block matrix with two identical subblocks over skew fields
Electron. J. Linear Algebra 21, 63-75, electronic only (2010)
Summary
Summary: Let K be a skew field and K n$\times n$ be the set of all n $\times n$ matrices over K. The purpose of this paper is to give some necessary and sufficient conditions for the existence and the representations of the group inverse of the block matrix AC BD under some conditions.