New multiplicative perturbation bounds of the Moore–Penrose inverse

DOI10.1080/03081087.2014.917643zbMath1312.15007OpenAlexW2005351751MaRDI QIDQ5175378

Bing Zheng, Lingsheng Meng

Publication date: 20 February 2015

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

Full work available at URL: https://doi.org/10.1080/03081087.2014.917643

zbMATH Keywords

Frobenius normMoore-Penrose inverseunitarily invariant norm\(Q\)-normmultiplicative perturbation bound

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Miscellaneous inequalities involving matrices (15A45)

Related Items (7)

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 ⋮ Norm estimations for the Moore-Penrose inverse of the weak perturbation of matrices ⋮ Representations and norm estimations for the Moore–Penrose inverse of multiplicative perturbations of matrices ⋮ Norm estimations for the Moore-Penrose inverse of multiplicative perturbations of matrices ⋮ Perturbation bounds of core inverse under the Frobenius norm ⋮ UNITARILY INVARIANT NORM AND <i>Q</i>-NORM ESTIMATIONS FOR THE MOORE–PENROSE INVERSE OF MULTIPLICATIVE PERTURBATIONS OF MATRICES

Cites Work

• Unnamed Item
• Multiplicative perturbation analysis for QR factorizations
• Additive and multiplicative perturbation bounds for the Moore-Penrose inverse
• The optimal perturbation bounds of the Moore-Penrose inverse under the Frobenius norm
• A note on the perturbation bounds of eigenspaces for Hermitian matrices
• Some new perturbation bounds for subunitary polar factors
• Accurate Solution of Structured Least Squares Problems via Rank-Revealing Decompositions
• Accurate solution of structured linear systems via rank-revealing decompositions
• On the Perturbation of Pseudo-Inverses, Projections and Linear Least Squares Problems
• A note on multiplicative perturbation bounds for the Moore–Penrose inverse
• On Error Bounds for Generalized Inverses
• On the Continuity of the Generalized Inverse
• Perturbation bounds in connection with singular value decomposition
• Perturbation theory for pseudo-inverses

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