矩阵的B-D-MP逆

B-D-MP inverse of matrix

文章参考方阵A的互补广义逆A(-1)T,S,推出了一些相关性质;然后在此基础上定义了一个新的广义逆B-D-MP逆。这个新的广义逆由复数域上的方阵与它的互补广义逆及M-P逆结合而成。B-D-MP逆将核逆和DMP逆的条件进行弱化,将这两类新定义的广义逆包含其中,不再有指数的限制,只需要是复数域上的方阵即可。该文最后给出这个新的广义逆一些相关性质。

In this paper, the complementary generalized inverse AT,S（-1） of square complex matrix A is referenced. On this basis, a new generalized inverse called B-D-MP inverse associated with a square complex matrix using its complementary generalized inverse and M-P inverse is defined. By weakening the conditions of core inverse and DMP inverse, the B-D-MP inverse, containing the two new generalized inverses, is just a square complex matrix without the restriction of index. Finally, some properties of this new generalized inverse are put forward.