Norm estimations for the Moore-Penrose inverse of multiplicative perturbations of matrices

DOI10.1016/j.jmaa.2016.01.020zbMath1339.15005OpenAlexW2236713743MaRDI QIDQ5962569

Wei Luo, Qingxiang Xu, Chuanning Song, Na Hu

Publication date: 12 February 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.01.020

zbMATH Keywords

Moore-Penrose inversemultiplicative perturbationnorm upper 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) Miscellaneous inequalities involving matrices (15A45)

Related Items (3)

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 ⋮ UNITARILY INVARIANT NORM AND <i>Q</i>-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
• Controllability problems for the 1-d wave equations on a half-axis with Neumann boundary control
• Minimal principal solution at infinity for nonoscillatory linear Hamiltonian systems
• Optimal linear Glauber model
• On mixed and componentwise condition numbers for indefinite least squares problem
• Generalized inverses of Markovian kernels in terms of properties of the Markov chain
• Sharp Norm-Estimations for Moore–Penrose Inverses of Stable Perturbations of Hilbert $C^*$-Module Operators
• New multiplicative perturbation bounds of the Moore–Penrose inverse
• A note on stable perturbations of Moore–Penrose inverses
• A note on multiplicative perturbation bounds for the Moore–Penrose inverse
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

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