Representations and norm estimations for the Moore–Penrose inverse of multiplicative perturbations of matrices

DOI10.1080/03081087.2016.1197175zbMath1362.15002OpenAlexW2466860171MaRDI QIDQ2961489

Qingxiang Xu, Xuxu Fang, Chuanning Song, Xiao-bo Zhang

Publication date: 20 February 2017

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

Full work available at URL: https://doi.org/10.1080/03081087.2016.1197175

zbMATH Keywords

Moore-Penrose inversemultiplicative perturbationnorm upper boundspectral norm estimation

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)

Related Items (5)

Norm Estimations for the Moore-Penrose Inverse of the Weak Perturbation of Hilbert C ∗-Module Operators ⋮ Norm estimations for the Moore-Penrose inverse of the weak perturbation of matrices ⋮ Additive perturbations and multiplicative perturbations for the core inverse of bounded linear operator in Hilbert space ⋮ Expression for the multiplicative perturbation of the Moore–Penrose inverse ⋮ Multiplicative perturbations of matrices and the generalized triple reverse order law for the Moore-Penrose inverse

Cites Work

• Additive and multiplicative perturbation bounds for the Moore-Penrose inverse
• Expressions for the Moore-Penrose inverse of block matrices involving the Schur complement
• Sharp Norm-Estimations for Moore–Penrose Inverses of Stable Perturbations of Hilbert $C^*$-Module Operators
• The optimal perturbation bounds for the weighted Moore-Penrose inverse
• A generalized Drazin inverse
• New multiplicative perturbation bounds of the Moore–Penrose inverse
• A note on multiplicative perturbation bounds for the Moore–Penrose inverse

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