Integral representation of the \(W\)-weighted Drazin inverse
type: Item
instance of: scholarly article
title: Integral representation of the \(W\)-weighted Drazin inverse
zbMATH Open document ID: 1026.15006
DOI: 10.1016/S0096-3003(02)00386-7
published in: Applied Mathematics and Computation
publication date: 2003-08-07T00:00:00Z
review text: Two integral representations are presented for the W-weighted Drazin inverse \(A_{D,W}\) of rectangular matrices \(A,W\). The first one has some restriction on the eigenvalues of \(AW\) or \(WA\) while the second one holds without any restriction on the eigenvalues.
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 15A18
zbMATH DE Number: 1961555
zbMATH Keywords: integral representation
zbMATH Keywords: W-weighted Drazin inverse
zbMATH Keywords: eigenvalue
author: Yimin Wei
reviewed by: Nicholas Karampetakis
MaRDI profile type: Publication
cites work: Q3207128
cites work: ON INTEGRAL REPRESENTATIONS OF THE DRAZIN INVERSE IN BANACH ALGEBRAS
cites work: Q4706974
cites work: A Drazin inverse for rectangular matrices
cites work: A Characterization and Representation of the Drazin Inverse
cites work: The perturbation theory for the Drazin inverse and its applications. II
cites work: A weighted Drazin inverse and applications
cites work: The representation and approximation of the \(W\)-weighted Drazin inverse of linear operators in Hilbert space.
cites work: The representation and approximation for Drazin inverse
cites work: A characterization for the \(W\)-weighted Drazin inverse and a Cramer rule for the \(W\)-weighted Drazin inverse solution
full work available at URL: s0096-3003(02)00386-7
OpenAlex ID: W2016797537
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description: scientific article; zbMATH DE number 1961555