We give a very short proof of the main result of J. Benitez, A new decomposition for square matrices, Electron. J. Linear Algebra 20 (2010) 207-225. Also, we present some consequences of this result. (C) 2012 Elsevier Inc. ...
We find expressions for many types of generalized inverses of an arbitrary square
complex matrix by using two representations given in [Benítez J. A new decomposition
for square matrices. Electron. J. Linear Algebra. ...
[EN] Let {Am}
¿
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 ...
[EN] Based on the conditions ab(2) = 0 and b pi(ab) is an element of A(d), we derive that (ab)(n), (ba)(n), and ab + ba are all generalized Drazin invertible in a Banach algebra A, where n is an element of N and a and b ...