The optimal perturbation bounds of the Moore-Penrose inverse under the Frobenius norm

DOI10.1016/j.laa.2009.10.009zbMath1189.15006OpenAlexW2058535353MaRDI QIDQ846324

Lingsheng Meng, Bing Zheng

Publication date: 9 February 2010

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2009.10.009

zbMATH Keywords

singular value decompositionFrobenius normMoore-Penrose inversemultiplicative perturbationunitarily invariant normspectral normadditive perturbation

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrix equations and identities (15A24) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items (13)

New additive perturbation bounds of the Moore-Penrose inverse ⋮ Additive and multiplicative perturbation bounds for the Moore-Penrose inverse ⋮ Perturbation bounds for the generalized inverse \(A^{(2)}_{T,S}\) with respect to the Frobenius norm ⋮ Estimating covariance and precision matrices along subspaces ⋮ Perturbation bounds of generalized inverses ⋮ Convergence of Newton-MR under Inexact Hessian Information ⋮ New multiplicative perturbation bounds of the Moore–Penrose inverse ⋮ Some refined bounds for the perturbation of the orthogonal projection and the generalized inverse ⋮ Norm estimations for the Moore-Penrose inverse of multiplicative perturbations of matrices ⋮ On the perturbation of the Moore-Penrose inverse of a matrix ⋮ Perturbation theory for Moore-Penrose inverse of tensor via Einstein product ⋮ A note on multiplicative perturbation bounds for the Moore–Penrose inverse ⋮ Perturbation bounds of core inverse under the Frobenius norm

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