Norm estimations for the Moore-Penrose inverse of the weak perturbation of matrices

DOI10.1080/03081087.2020.1717416zbMath1491.15027OpenAlexW3002811104WikidataQ126307530 ScholiaQ126307530MaRDI QIDQ5070349

Chunhong Fu, Qingxiang Xu, Chuanning Song, Guo-rong Wang

Publication date: 11 April 2022

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

Full work available at URL: https://doi.org/10.1080/03081087.2020.1717416

zbMATH Keywords

weak perturbationMoore-Penrose inversemultiplicative perturbationacute perturbationstrong perturbation

Mathematics Subject Classification ID

Factorization of matrices (15A23) Theory of matrix inversion and generalized inverses (15A09) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Perturbation theory of linear operators (47A55)

Related Items (1)

Norm Estimations for the Moore-Penrose Inverse of the Weak Perturbation of Hilbert C ∗-Module Operators

Cites Work

• Unnamed Item
• Generalized inverses: theory and computations
• Multiplicative perturbations of matrices and the generalized triple reverse order law for the Moore-Penrose inverse
• Expressions for the Moore-Penrose inverse of block matrices involving the Schur complement
• Accurate Solution of Structured Least Squares Problems via Rank-Revealing Decompositions
• Representations and norm estimations for the Moore–Penrose inverse of multiplicative perturbations of matrices
• Sharp Norm-Estimations for Moore–Penrose Inverses of Stable Perturbations of Hilbert $C^*$-Module Operators
• On the Perturbation of Pseudo-Inverses, Projections and Linear Least Squares Problems
• New multiplicative perturbation bounds of the Moore–Penrose inverse
• A note on multiplicative perturbation bounds for the Moore–Penrose inverse
• Perturbation theory for pseudo-inverses

This page was built for publication: Norm estimations for the Moore-Penrose inverse of the weak perturbation of matrices