A note on additive results for the Drazin inverse |
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| Authors: | Yi-min Wei Chun-yuan Deng |
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| Affiliation: | 1. School of Mathematical Sciences and Shanghai Key Laboratory of Contemporary Applied Mathematics , Fudan University , Shanghai 200433 , P.R. China ymwei@fudan.edu.cn;3. College of Mathematics Science, South China Normal University , Guangzhou 510631 , P.R. China |
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| Abstract: | For two square matrices that commute, we present some additive results for the Drazin inverse. We also give the application to relative perturbation of eigenvalues when the perturbed matrix commutes with the original matrix and perturbation bounds of the Drazin inverse. |
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| Keywords: | Drazin inverse additive result commutativity eigenvalue |
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