On the Drazin inverse of the sum of two matrices

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Abstract

We deduce the explicit expressions for (P+Q) D and (PQ) D of two matrices P and Q under the conditions P 2Q=PQP and Q 2P=QPQ. Also, we give the upper bound of ∥(P+Q) D-P D∥ 2. Copyright © 2011 Xiaoji Liu et al.

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Liu, X., Wu, S., & Yu, Y. (2011). On the Drazin inverse of the sum of two matrices. Journal of Applied Mathematics, 2011. https://doi.org/10.1155/2011/831892

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