Perturbation of the Drazin inverse for matrices with equal eigenprojections at zero
type: Item
instance of: scholarly article
title: Perturbation of the Drazin inverse for matrices with equal eigenprojections at zero
zbMATH Open document ID: 0963.15002
DOI: 10.1016/S0024-3795(00)00101-4
author: N. Castro González
author: J. J. Koliha
author: Yimin Wei
published in: Linear Algebra and its Applications
publication date: 2001-06-28T00:00:00Z
review text: Let \(A^\pi\) denote the eigenprojection of a matrix \(A\) corresponding to the eigenvalue 0. The authors characterize matrices \(B\) such that \(B^\pi=A^\pi\), and derive from the results: (1) error bounds for the Drazin inverse of perturbation; (2) improvement of error bounds given by \textit{Y. Wei} [Appl. Math. Comput. 98, No. 1, 29-42 (1999; Zbl 0927.15004)], \textit{Y. Wei} and \textit{G. Wang} [Linear Algebra Appl. 258, 179-186 (1997; Zbl 0882.15003)], and \textit{N. Castro Gonzalez} and \textit{J. J. Koliha} [Integral Equations Oper. Theory 36, No. 1, 92-106 (2000; Zbl 0938.47009)], and (3) a new characterization of EP matrices.
reviewed by: Yueh-er Kuo
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 47A55
Mathematics Subject Classification ID: 15A45
Mathematics Subject Classification ID: 15A60
zbMATH DE Number: 1485565
zbMATH Keywords: Drazin inverse
zbMATH Keywords: eigenprojections
zbMATH Keywords: perturbation
zbMATH Keywords: EP matrices
zbMATH Keywords: error bounds
MaRDI profile type: Publication
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full work available at URL: s0024-3795(00)00101-4
OpenAlex ID: W1972127026
description: scientific article; zbMATH DE number 1485565