Comment on ``condition number of Drazin inverse and their condition numbers of singular linear systems''
type: Item
instance of: scholarly article
title: Comment on ``condition number of Drazin inverse and their condition numbers of singular linear systems''
zbMATH Open document ID: 1157.15306
author: Zhaoliang Xu
author: Jianbiao Chen
published in: Applied Mathematics and Computation
publication date: 2008-06-11T00:00:00Z
Mathematics Subject Classification ID: 15A09
zbMATH DE Number: 5286419
zbMATH Keywords: condition number
zbMATH Keywords: drazin inverse
zbMATH Keywords: perturbation
zbMATH Keywords: index
zbMATH Keywords: Schur decomposition
MaRDI profile type: Publication
full work available at URL: j.amc.2007.10.008
OpenAlex ID: W2015097715
cites work: Generalized inverses. Theory and applications.
cites work: Q3207128
cites work: A semi-iterative method for real spectrum singular linear systems with an arbitrary index
cites work: Quotient convergence and multi-splitting methods for solving singular linear equations
cites work: Additive results for the generalized Drazin inverse in a Banach algebra
cites work: Q5689624
cites work: ON INTEGRAL REPRESENTATIONS OF THE DRAZIN INVERSE IN BANACH ALGEBRAS
cites work: Some additive results on Drazin inverse
cites work: Representations for the Drazin Inverse of a 2 x 2 Block Matrix
cites work: Condition numbers and their condition numbers
cites work: Condition numbers and structured perturbation of the \(W\)-weighted Drazin inverse
cites work: The perturbation theory for the Drazin inverse and its applications. II
cites work: A Theory of Condition
cites work: Condition number related with \(W\)-weighted Drazin inverse and singular linear systems
cites work: The perturbation theory for the Drazin inverse and its applications
cites work: Index splitting for the Drazin inverse and the singular linear system
cites work: On the perturbation of the group inverse and oblique projection
cites work: Perturbation analysis of singular linear systems with index one∗
cites work: The Drazin inverse of updating of a square matrix with application to perturbation formula
cites work: Convergence properties of Krylov subspace methods for singular linear systems with arbitrary index
cites work: The perturbation of the Drazin inverse and oblique projection
cites work: Challenging problems on the perturbation of Drazin inverse
cites work: Additional results on index splittings for Drazin inverse solutions of singular linear systems
cites work: Perturbation bound of the Drazin inverse
cites work: On the use of incomplete semiiterative methods for singular systems and applications in Markov chain modeling.
cites work: Condition number of Drazin inverse and their condition numbers of singular linear systems.
cites work: Integral representation of the \(W\)-weighted Drazin inverse
cites work: A note on the perturbation of the \(W\)-weighted Drazin inverse.
cites work: Condition number for the Drazin inverse and the Drazin-inverse solution of singular linear system with their condition numbers
cites work: On group inverse of singular Toeplitz matrices
cites work: A Perturbation Bound of the Drazin Inverse of a Matrix by Separation of Simple Invariant Subspaces
cites work: Relative perturbation bounds for the eigenvalues of diagonalizable and singular matrices -- application of perturbation theory for simple invariant subspaces
cites work: Displacement structure of group inverses
cites work: Solving EP singular linear systems
cites work: A note on solving EP inconsistent linear systems
DOI: 10.1016/J.AMC.2007.10.008
description: scientific article; zbMATH DE number 5286419