A note on the perturbation bound of the Drazin inverse

DOI10.1016/S0096-3003(02)00230-8zbMath1032.15006OpenAlexW1971857991MaRDI QIDQ1406249

Xiezhang Li, Yi-Min Wei

Publication date: 9 September 2003

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00230-8

zbMATH Keywords

perturbation theoryDrazin inversegroup inversenorm bounds

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 (8)

Acute perturbation of the group inverse ⋮ The perturbation of Drazin inverse and dual Drazin inverse ⋮ Perturbation bound of the group inverse and the generalized Schur complement in Banach algebra ⋮ Acute perturbation of Drazin inverse and oblique projectors ⋮ Continuity properties of the \(\{1\}\)-inverse and perturbation bounds for the Drazin inverse ⋮ Further results on the perturbation estimations for the Drazin inverse ⋮ Perturbations of Drazin invertible operators ⋮ An expression of the Drazin inverse of a perturbed matrix

Cites Work

• On the solution of singular linear systems of algebraic equations by semiiterative methods
• The error bound of the perturbation of the Drazin inverse
• Continuity properties of the Drazin pseudoinverse
• Index splitting for the Drazin inverse and the singular linear system
• On the perturbation of the group inverse and oblique projection
• The perturbation theory for the Drazin inverse and its applications
• The Drazin inverse of updating of a square matrix with application to perturbation formula
• Perturbation of the Drazin inverse for matrices with equal eigenprojections at zero
• Perturbation bound of the Drazin inverse
• Convergence properties of Krylov subspace methods for singular linear systems with arbitrary index
• Continuity of The Drazin inverse
• The Condition of a Finite Markov Chain and Perturbation Bounds for the Limiting Probabilities
• An improvement on the perturbation of the group inverse and oblique projection
• Unnamed Item

This page was built for publication: A note on the perturbation bound of the Drazin inverse