摘要
本文讨论了Drazin逆的反演,得到了Drazin逆的反演公式。为了证明Drazin逆的反演公式,本文又讨论了幂零阵的构造,得到了指标为K的幂零阵的一般表达式。
This paper discussed inversion of Drazin inverses and ob-tained an inversive formula of Drazin inverses. It described the structureof nilpotent matrix and the general expression of nilpotent matrix of indexK in order zo prore the inversive formula of Drazin inverses.
关键词
幂零阵
DRAZIN逆
反演公式
矩阵
generalized inverse
Drazin inverse
inverse formula inversion eguation
matrix transform methods
nilpotent matrix