On the continuity of the group inverse
Julio Benítez, Xiaoji Liu · Operators and Matrices · 2012
Let {A m } ∞ m=1 be a sequence of complex group invertible matrices that converges to A .We characterize when A is group invertible and {A # m } ∞ m=1 converges to A # in terms of the canonical angles between A m and A * m , where X # denotes the group inverse of the matrix X .We compare this characterization with some known characterizations of the continuity of the Drazin inverse. Mathematics subject classification (2010): 15A09.