【摘要】 给出了矩阵积的(T,S,2) 逆的反序律成立的充分必要条件.这一结果适用于包括Moore Penrose逆、Drazin逆等在内的大多数常用广义逆矩阵.另外,证明了等式(AB)+MP=(A+MNAB)+NP(ABB+NP)+MN.更多还原

【Abstract】 The necessary and sufficient condition for the validity of the reverse order law for the （T,S,2）-inverse of a matrix product is given. This result applies to the most of the commonly used generalized inverses of matrices including the Moore-Penrose inverse, the Drazin inverse and the others. In addition, the equality （AB）⁺_MP=(A⁺_MNAB)⁺_NP(ABB⁺_NP)⁺_MN is proved.更多还原