On matrices whose Moore-Penrose inverses are ray unique
Changjiang Bu, Weiqi Gu, Jiang Zhou, Yimin Wei · Linear and Multilinear Algebra · 2015
Let denote the set of matrices with the same ray pattern as a complex matrix . If the Moore-Penrose (M-P) inverses of and have the same ray pattern for every , then is said to have ray M-P inverse. In this paper, we give complete characterizations of matrices with ray M-P inverse, which extends some results in [Shao JY, Shan HY, Matrices with signed generalized inverses. Linear Algebra Appl. 2001;322:105–127].