The representations of the Drazin inverse of differences of two matrices |
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Authors: | Xiaoji Liu Liang Xu |
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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 |
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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 P, Q, PD and QD, under the conditions P3Q = QP and Q3P = PQ. |
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Keywords: | Drazin inverse Group inverse Idempotent |
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