The Drazin inverse of a modified matrix
type: Item
instance of: scholarly article
title: The Drazin inverse of a modified matrix
zbMATH Open document ID: 1025.15005
DOI: 10.1016/S0096-3003(00)00131-4
published in: Applied Mathematics and Computation
publication date: 2003-01-28T00:00:00Z
review text: The author gives explicit formulas for the Drazin inverse of matrices \(A-BC\) under assumptions such as \((I-AA^D)C=0,B(I-A^DA)=0\).
Mathematics Subject Classification ID: 15A09
zbMATH DE Number: 1860997
zbMATH Keywords: modified matrix
zbMATH Keywords: perturbation bound
zbMATH Keywords: Drazin inverse
author: Yimin Wei
reviewed by: Ki Hang Kim
MaRDI profile type: Publication
cites work: On Error Bounds for Generalized Inverses
cites work: Continuity properties of the Drazin pseudoinverse
cites work: Q3207128
cites work: Some additive results on Drazin inverse
cites work: The Role of the Group Generalized Inverse in the Theory of Finite Markov Chains
cites work: The Condition of a Finite Markov Chain and Perturbation Bounds for the Limiting Probabilities
cites work: Updating finite markov chains by using techniques of group matrix inversion
cites work: The error bound of the perturbation of the Drazin inverse
cites work: The Drazin inverse in multibody system dynamics
cites work: A Characterization and Representation of the Drazin Inverse
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: Expressions for the drazin inverse of a 2×2 Block Matrix
cites work: On the perturbation of the group inverse and oblique projection
description: scientific article; zbMATH DE number 1860997