A note on multiplicative perturbation bounds for the Moore–Penrose inverse

DOI10.1080/03081087.2013.791818zbMath1305.15016OpenAlexW2017178427MaRDI QIDQ5495760

Hu Yang, Pingping Zhang

Publication date: 7 August 2014

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

Full work available at URL: https://doi.org/10.1080/03081087.2013.791818

zbMATH Keywords

Frobenius normweighted Moore-Penrose inverseMoore-Penrose inverseunitarily invariant norm\(Q\)-normmultiplicative perturbation bound

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (6)

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 ⋮ New multiplicative perturbation bounds of the Moore–Penrose inverse ⋮ Norm estimations for the Moore-Penrose inverse of multiplicative perturbations of matrices

Cites Work

• Additive and multiplicative perturbation bounds for the Moore-Penrose inverse
• The optimal perturbation bounds of the Moore-Penrose inverse under the Frobenius norm
• On the solution of the linear least squares problems and pseudo-inverses
• A note on the perturbation bounds of eigenspaces for Hermitian matrices
• Some new perturbation bounds for subunitary polar factors
• Stability of general systems of linear equations
• On the Perturbation of Pseudo-Inverses, Projections and Linear Least Squares Problems
• 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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