体上一类分块矩阵的群逆

The group inverse of a class block matrix over skew fields

给出体上一类分块矩阵群逆存在的一个充要条件,并给出分块矩阵在群逆存在时群逆的表达式,又对两种特殊情况分别给出其群逆表达式的两个简化形式。

An equivalent condition for existence of group inverse of a class block matrix over skew field are given. When the group inverse of the block matrix exists, the representation of the group inverse is given.Then, two simplified representations of the group inverse are given according to two special conditions.