矩阵乘积加权广义逆几个等式的推广

摘要

研究了权矩阵为可逆阵的矩阵乘积的加权广义逆。在已有的加权广义逆矩阵存在条件及表达式的基础上，利用矩阵的秩，给出了2个及3个矩阵乘积的加权广义逆的几个表达式。%This paper discusses the weighted generalized inverses of the matrices products where the weights are invertible.Based on the condition for the existence of weighted general-ized inverse of a matrix and its expression,several expressions for the weighted generalized in-verses of two and three matrices products are given by using rank of matrix.