摘要
研究了分块矩阵和的秩可加性条件，ｇ逆和Ｍ－Ｐ逆的表达式以及它们之间的关系，给出了分块矩阵Ｍ的非奇异性的充要条件和Ｍ－１的分块表达式．
it was studied that partitioned matrices and under the rank additivity condition,and the expressions of their g-inverses and M-P invevses was given. Then the necessary and sufficient conditions for the partitioned matrix to be nonsingular and an explicit expression of M-1 were obtained.
出处
《南京师大学报（自然科学版）》
CAS
CSCD
1994年第4期9-19,共11页
Journal of Nanjing Normal University(Natural Science Edition)
关键词
矩阵
广义逆
秩
分块矩阵
matrices
generalized inverse
rank
