Matrices with Special Sign Patterns of Signed Generalized Inverses
Jia‐Yu Shao, Jin-Ling He, Haiying Shan · SIAM Journal on Matrix Analysis and Applications · 2003
A real matrix A is said to have a signed generalized inverse (GI) if the sign pattern of its GI A + is uniquely determined by the sign pattern of A. We characterize those sign pattern matrices with a signed GI, and the GI of it is nonnegative, or is positive, or has no zeros.