A characterization for the \(W\)-weighted Drazin inverse and a Cramer rule for the \(W\)-weighted Drazin inverse solution
type: Item
instance of: scholarly article
title: A characterization for the \(W\)-weighted Drazin inverse and a Cramer rule for the \(W\)-weighted Drazin inverse solution
zbMATH Open document ID: 1026.15005
DOI: 10.1016/S0096-3003(00)00132-6
published in: Applied Mathematics and Computation
publication date: 2003-01-28T00:00:00Z
review text: The paper presents a characterization for the W-weighted Drazin inverse, and a Cramer rule for W-weighted Drazin inverse solution of a singular linear equation.
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 15A06
Mathematics Subject Classification ID: 15A03
zbMATH DE Number: 1860998
zbMATH Keywords: W-weighted Drazin inverse
zbMATH Keywords: index
zbMATH Keywords: rank
zbMATH Keywords: Cramer rule
zbMATH Keywords: singular linear equation
author: Yimin Wei
reviewed by: Nicholas Karampetakis
MaRDI profile type: Publication
cites work: A Cramer rule for least-norm solutions of consistent linear equations
cites work: A semi-iterative method for real spectrum singular linear systems with an arbitrary index
cites work: A Drazin inverse for rectangular matrices
cites work: Pseudo-Inverses in Associative Rings and Semigroups
cites work: A characterization of the Moore-Penrose inverse
cites work: A Short Proof of Cramer's Rule
cites work: Development of iterative techniques and extrapolation methods for Drazin inverse solution of consistent or inconsistent singular linear systems
cites work: Q4357131
cites work: A ''Cramer rule'' for the least-norm, least-squared-error solution of inconsistent linear equations
cites work: A Cramer rule for finding the solution of a class of singular equations
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: On the perturbation of the group inverse and oblique projection
cites work: Successive matrix squaring algorithm for computing the Drazin inverse
cites work: The Drazin inverse of updating of a square matrix with application to perturbation formula
cites work: Expressions for the drazin inverse of a 2×2 Block Matrix
cites work: Convergence properties of Krylov subspace methods for singular linear systems with arbitrary index
description: scientific article; zbMATH DE number 1860998