Perturbation bounds of generalized inverses

DOI10.1016/j.amc.2016.10.017zbMath1411.15006OpenAlexW2545750293MaRDI QIDQ1734747

Peilan Ma, Bing Zheng, Lingsheng Meng

Publication date: 27 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2016.10.017

zbMATH Keywords

optimalitydistancegeneralized inversesadditive perturbation boundmultiplicative perturbation bound

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)

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Perturbation theory for Moore-Penrose inverse of tensor via Einstein product

Cites Work

• Multiplicative perturbation analysis for QR factorizations
• On the perturbation bounds of g-inverses and oblique projections
• Additive and multiplicative perturbation bounds for the Moore-Penrose inverse
• Relative perturbation bounds for the unitary polar factor
• The optimal perturbation bounds of the Moore-Penrose inverse under the Frobenius norm
• Perturbation of the least squares problem
• Multiplicative perturbation bounds for spectral and singular value decompositions
• Continuity properties of the \(\{1\}\)-inverse and perturbation bounds for the Drazin inverse
• On the perturbation of the group inverse and oblique projection
• Generalized inverses. Theory and applications.
• Accurate Solution of Structured Least Squares Problems via Rank-Revealing Decompositions
• Norm-Preserving Dilations and Their Applications to Optimal Error Bounds
• On the Perturbation of Pseudo-Inverses, Projections and Linear Least Squares Problems
• Relative Perturbation Theory: II. Eigenspace and Singular Subspace Variations
• Perturbation theory for pseudo-inverses