Additive and multiplicative perturbation bounds for the Moore-Penrose inverse |
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| Authors: | Li-xia Cai |
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| Affiliation: | a School of Mathematical Sciences, South China Normal University, Guangzhou 510631, PR China
b Academy of Mathematics and Systems Science, Chinese Academy of Sciences, P.O. Box 2719, Beijing 100080, PR China |
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| Abstract: | In this paper, we obtain the additive and multiplicative perturbation bounds for the Moore-Penrose inverse under the unitarily invariant norm and the Q - norm, which improve the corresponding ones in [P.Å. Wedin, Perturbation theory for pseudo-inverses, BIT 13(1973)217-232]. |
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| Keywords: | 15A09 15A18 15A24 |
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