分块矩阵广义逆的表示

The Expression for the Generalized Inverse of Block Matrix

文章采用矩阵分解的方法讨论了2×2分块矩阵M={A BC D}的{1,2}逆,{1,3}逆,{1,4}逆显式表示问题,并利用分块矩阵M的{1,2}逆的表示给出了分块矩阵M的Moore-Penrose逆的显式表达式.

By decomposition ,this paper presented the explicit expressions for the{1 ,2}inverse ,{1 ,3}inverse and{1 ,4}inverse of block matrix ,respectively .Using the expression of {1 ,2} inverse ,the expres‐sion for the Moore‐Penrose inverse of was got .