Challenging Problems on the Perturbation of Drazin Inverse |
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| Authors: | Yimin Wei Hebing Wu |
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| Affiliation: | (1) Department of Mathematics & Laboratory of Mathematics for Nonlinear Sciences, Fudan University, Shanghai, 200433, PR, China;(2) Institute of Mathematics, Fudan University, Shanghai, 200433, PR, China |
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| Abstract: | In order to estimate error bounds on the computed Drazin inverse of a matrix, we need to establish some perturbation theory for the Drazin inverse which is analogous to that for the Moore–Penrose inverse. In this paper, we present recent results on this topic, three problems are put forward in this direction. |
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| Keywords: | Drazin inverse group inverse perturbation bound index condition number |
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