摘要
本文利用分块矩阵方法,研究了体上两个矩阵乘积的群逆的存在性及表示形式,给出了体上两个矩阵乘积群逆存在的充分必要条件和表示形式.并且在一定条件下,给出了体上分块矩阵的群逆存在性及表示形式.
In this paper, we use block matrix to study the existence and expression of group inverse of product of two matrices over skew fields. We obtain a sufficicient and necessary condition for the existence of group inverse of product of two matrices over skew fields, and get an expression for it. We also prove that group inverse of block matrix exists in certain condition, and give its expression over skew filelds,
出处
《数学杂志》
CSCD
北大核心
2006年第1期49-52,共4页
Journal of Mathematics
基金
哈尔滨工程大学基础研究基金项目(HEUF04019)
关键词
体
群逆
分块矩阵
skew field
group inverses
block matrices
