摘要
Let M =（ABCD）（A and D are square） be a 2 × 2 block matrixgeneralized Schur complement of M. We give the representations and the group invertibility of M under each of the following conditions： （1） S = 0; （2） S is group invertible and CAπB = 0, where Aπ= I - AA#. And the second result generalizes a result of C. Bu et al. [Appl. Math. Comput., 2009, 215： 132-139].
Let M =（ABCD）（A and D are square） be a 2 × 2 block matrixgeneralized Schur complement of M. We give the representations and the group invertibility of M under each of the following conditions： （1） S = 0; （2） S is group invertible and CAπB = 0, where Aπ= I - AA#. And the second result generalizes a result of C. Bu et al. [Appl. Math. Comput., 2009, 215： 132-139].
