Affiliation:
1. Department of Mathematics, Hubei Normal University, Hubei, Huangshi, China
Abstract
Let A and B be two group invertible matrices, we study the rank, the
nonsingularity and the group invertibility of A-B, AA#-BB#, c1A + c2B,
c1A + c2B + c3AA#B where c1,c2 are nonzero complex numbers. Under some
special conditions, the necessary and sufficient conditions of c1A + c2B +
c3and c1A + c2B + c3+ c4BA to be nonsingular and group invertible are
presented, which generalized some related results of Ben?tez, Liu, Koliha
and Zuo [4, 17, 19, 25].
Publisher
National Library of Serbia