摘要
利用块──Cayley－Hamilton定理得到一类各子块是两两可换的分块阵A的广义逆：加权Moore－Penrose逆、Moore－Penrose逆、Drazin逆及群逆的表达式和计算它们的块有限算法，本算法中需计算一个与给定矩阵的子块同阶的矩阵之逆阵．
The Block-Cayley-Hamilton Theorem is utilized to obtain some expressions of theweighted Moore-Penrose inverses, Moore-Penrose inverses, Drazin inverses and group inversesof a class of matrices partitioned into blicks that are commutative in pairs. And the blick finite algorithm for these generalized inverses is also presented. This algorithm only needs to find the inverse of a matrix of the same order as that of the block of the given matrix'
出处
《上海师范大学学报（自然科学版）》
1998年第1期8-15,共8页
Journal of Shanghai Normal University(Natural Sciences)
基金
上海高等学校科技发展基金
