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The representations of the Drazin inverse of differences of two matrices
Authors:Xiaoji Liu  Liang Xu
Institution:a College of Mathematics and Computer Science, Guangxi University for Nationalities, Nanning 530006, PR China
b School of Mathematical Sciences, Monash University VIC 3800, Australia
Abstract:In this paper, we give explicit representations of (P ± Q)D, (P ± PQ)D and (PQ)# of two matrices P and Q, as a function of PQPD and QD, under the conditions P3Q = QP and Q3P = PQ.
Keywords:Drazin inverse  Group inverse  Idempotent
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