A note on stable perturbations of Moore–Penrose inverses

DOI10.1002/nla.838zbMath1289.65091OpenAlexW1899996617MaRDI QIDQ5397300

Qingxiang Xu, Zhao Li, Yi-Min Wei

Publication date: 19 February 2014

Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nla.838

zbMATH Keywords

numerical examplesMoore-Penrose inverseperturbation boundslinear least squares problemsstable perturbationacute perturbation

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items

Norm Estimations for the Moore-Penrose Inverse of the Weak Perturbation of Hilbert C ∗-Module Operators, New additive perturbation bounds of the Moore-Penrose inverse, Enclosing Moore-Penrose inverses, On mixed and componentwise condition numbers for indefinite least squares problem, A characterization and perturbation bounds for the weighted core-ep inverse, Acute perturbation bounds of weighted Moore–Penrose inverse, Singular Value Decomposition Approximation via Kronecker Summations for Imaging Applications, Multiplicative perturbations of matrices and the generalized triple reverse order law for the Moore-Penrose inverse, Norm estimations for the Moore-Penrose inverse of multiplicative perturbations of matrices, Convergence of Rump’s method for computing the Moore-Penrose inverse, Perturbation theory for Moore-Penrose inverse of tensor via Einstein product

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