ON GROUP INVERSES OF BLOCK MATRICES OVER SKEW FIELDS
BU Chang-jiang · Journal of Mathematics · 2006
In this paper, we use block matrix to study the exi st ence and expression of group inverse of product of two matrices over skew fields . We obtain a sufficicient and necessary condition for the existence of group in verse of product of two matrices over skew fields, and get an expression for it. We also prove that group inverse of block matrix exists in certain condition, a nd give its expression over skew filelds.