Minkowski inverse for the Range symmetric block matrix with two identical sub-blocks over skew fields in Minkowski space $\mathscr M$

Abstract

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 minkowski inverse of the block matrix $\begin{pmatrix}A&B\\C&D \end{pmatrix}$ under some conditions.