Ray pattern of Drazin inverses of some matrices
Haifeng Ma, Qi An · Journal of Mathematical Analysis and Applications · 2018
Let Q ( A ) be the set of complex matrices with the same ray pattern as A . For any A ˜ ∈ Q ( A ) , if the Drazin inverses of A and A ˜ have the same ray pattern, then A is said to have ray Drazin inverse . In this paper, we give some properties on matrices whose Drazin inverses or M-P inverses are ray unique , and use these properties to obtain necessary and sufficient conditions for some block matrices to have ray Drazin inverses.