Some Results for the Drazin Inverses of the Sum of Two Matrices and Some Block Matrices

Abdul Shakoor, Hu Yang and Ilyas Ali

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

Abstract: We give a formula of (P + Q) D under the conditions P2Q + QPQ = 0, P3Q = 0, and PQPQ = 0. Then, we apply it to give some expressions for the Drazin inverse of block matrix M=(ABCD) (A and D are square matrices) under some conditions, generalizing some recent results in the literature. Finally, numerical examples are given to illustrate our results.

Date: 2013
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https://doi.org/10.1155/2013/804313

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:804313

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