Perturbation bounds for the core inverse of matrices

DOI10.1007/s40314-022-01787-5zbMath1499.15010OpenAlexW4220661554MaRDI QIDQ2125886

Hai Feng Ma

Publication date: 14 April 2022

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-022-01787-5

zbMATH Keywords

eigenvalueperturbationMoore-Penrose inversegroup inverseprojectorcore inversefull-rank decomposition

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09)

Related Items (5)

Characterizations and Perturbations of the Core-EP Inverse of Tensors Based on the T-Product ⋮ The CEPGD-inverse for square matrices ⋮ The full rank expressions for the \(W\)-weighted Drazin and core-EP inverse of a matrix and their applications ⋮ Generalized core-EP inverse for square matrices ⋮ On 2MP-, MP2- and C2MP-inverses for rectangular matrices

Cites Work

• Unnamed Item
• Unnamed Item
• On a generalized core inverse
• Group, Moore-Penrose, core and dual core inverse in rings with involution
• On a matrix decomposition of Hartwig and Spindelböck
• New characterizations for core inverses in rings with involution
• Acute perturbation of Drazin inverse and oblique projectors
• Some theorems on the core inverse of matrices and the core partial ordering
• Generalized inverses: theory and computations
• A short proof of a matrix decomposition with applications
• Characterizations, approximation and perturbations of the core-EP inverse
• Core and core-EP inverses of tensors
• Perturbation theory for Moore-Penrose inverse of tensor via Einstein product
• Optimal perturbation bounds for the core inverse
• Algebraic properties of generalized inverses
• Acute perturbation of the group inverse
• Characterizations of the core inverse and the core partial ordering
• Core inverse of matrices
• Numerical and Symbolic Computations of Generalized Inverses
• Acute perturbation bounds of weighted Moore–Penrose inverse
• On the continuity of the group inverse
• Characterizations and representations of the core inverse and its applications
• Displacement structure of the core inverse
• On the continuity and differentiability of the (dual) core inverse in C*-algebras

This page was built for publication: Perturbation bounds for the core inverse of matrices