矩阵广义逆的性质研究

Rank Equalities with Respect to the Generalized Inverse

首先利用广义A(2)T,S逆矩阵的群逆表示,证明了一系列含有A(2)T,S矩阵表达式的秩。作为应用分别讨论了分块矩阵[A B]的广义逆与A(2)T,S和B(2)T,S的关系。

In this paper, we first study some rank equalities with respect to the generalized Schur complement with some interesting applications. As applications, we show the relationships between the generalized inverses of [A B-] and AT,S^（2）