摘要
设M=为复数域上一个分块矩阵.其中A.B,C.D分别为m×n,m×k,l×n,l×k矩阵.
This paper gives two explicit formulas and some properties for the Moore-Penrose inverse ofcomplex partitioned matrix when it satisfies the following rank additivity conditionAs the applications of the above results, this paper also gives the inverse of nonsingular partitioned matrix and introduces a set of new inversion formulas for the Moore-Penrose inverse of matrices A ?BD+ C, A - BC and A + B.
出处
《高校应用数学学报(A辑)》
CSCD
北大核心
1992年第2期310-314,共5页
Applied Mathematics A Journal of Chinese Universities(Ser.A)