Perturbation bounds for the Moore-Penrose inverse of operators

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Abstract

We consider the perturbation bounds for the Moore-Penrose inverse of a given operator on Hilbert space and apply these results to the relative errors of the minimum norm least squares solution of the equation Ax = b.

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Liu, X., Qin, Y., & Cvetković-Ilić, D. S. (2012). Perturbation bounds for the Moore-Penrose inverse of operators. Filomat, 26(2), 353–362. https://doi.org/10.2298/FIL1202353L

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