The optimal perturbation bounds of the Moore-Penrose inverse under the Frobenius norm |
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Authors: | Lingsheng Meng |
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Affiliation: | School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, PR China |
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Abstract: | We obtain the optimal perturbation bounds of the Moore-Penrose inverse under the Frobenius norm by using Singular Value Decomposition, which improved the results in the earlier paper [P.-Å. Wedin, Perturbation theory for pseudo-inverses, BIT 13 (1973) 217-232]. In addition, a perturbation bound of the Moore-Penrose inverse under the Frobenius norm in the case of the multiplicative perturbation model is also given. |
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Keywords: | 15A09 15A24 |
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