【摘要】 利用矩阵的广义Schur补的秩给出矩阵表达式G+H-G(A+B)H的最大最小秩,其中G,H分别为矩阵A和B的广义逆,进而给出A,B关于广义逆的吸收律成立的等价条件.更多还原

【Abstract】 In the paper the maximal and the minimal rank of the matrix expression G+H-G(A+B)H are given by applying the rank of the generalized Schur complement of the matrix,where G,H are respectively the generalized inverse or weight generalized inverse of the matrix A,B.Based on that,the conditions that the absorption law holds are obtained.更多还原