A Higher Order Iterative Method for Computing the Drazin Inverse

A method with high convergence rate for finding approximate inverses of nonsingular matrices is suggested and established analytically. An extension of the introduced computational scheme to general square matrices is defined. The extended method could be used for finding the Drazin inverse. The app...

Descripción completa

Detalles Bibliográficos
Autores principales: Soleymani, F., Stanimirović, Predrag S.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2013
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3806374/
https://www.ncbi.nlm.nih.gov/pubmed/24222747
http://dx.doi.org/10.1155/2013/708647
_version_ 1782288369856806912
author Soleymani, F.
Stanimirović, Predrag S.
author_facet Soleymani, F.
Stanimirović, Predrag S.
author_sort Soleymani, F.
collection PubMed
description A method with high convergence rate for finding approximate inverses of nonsingular matrices is suggested and established analytically. An extension of the introduced computational scheme to general square matrices is defined. The extended method could be used for finding the Drazin inverse. The application of the scheme on large sparse test matrices alongside the use in preconditioning of linear system of equations will be presented to clarify the contribution of the paper.
format Online
Article
Text
id pubmed-3806374
institution National Center for Biotechnology Information
language English
publishDate 2013
publisher Hindawi Publishing Corporation
record_format MEDLINE/PubMed
spelling pubmed-38063742013-11-11 A Higher Order Iterative Method for Computing the Drazin Inverse Soleymani, F. Stanimirović, Predrag S. ScientificWorldJournal Research Article A method with high convergence rate for finding approximate inverses of nonsingular matrices is suggested and established analytically. An extension of the introduced computational scheme to general square matrices is defined. The extended method could be used for finding the Drazin inverse. The application of the scheme on large sparse test matrices alongside the use in preconditioning of linear system of equations will be presented to clarify the contribution of the paper. Hindawi Publishing Corporation 2013-09-30 /pmc/articles/PMC3806374/ /pubmed/24222747 http://dx.doi.org/10.1155/2013/708647 Text en Copyright © 2013 F. Soleymani and P. S. Stanimirović. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Soleymani, F.
Stanimirović, Predrag S.
A Higher Order Iterative Method for Computing the Drazin Inverse
title A Higher Order Iterative Method for Computing the Drazin Inverse
title_full A Higher Order Iterative Method for Computing the Drazin Inverse
title_fullStr A Higher Order Iterative Method for Computing the Drazin Inverse
title_full_unstemmed A Higher Order Iterative Method for Computing the Drazin Inverse
title_short A Higher Order Iterative Method for Computing the Drazin Inverse
title_sort higher order iterative method for computing the drazin inverse
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3806374/
https://www.ncbi.nlm.nih.gov/pubmed/24222747
http://dx.doi.org/10.1155/2013/708647
work_keys_str_mv AT soleymanif ahigherorderiterativemethodforcomputingthedrazininverse
AT stanimirovicpredrags ahigherorderiterativemethodforcomputingthedrazininverse
AT soleymanif higherorderiterativemethodforcomputingthedrazininverse
AT stanimirovicpredrags higherorderiterativemethodforcomputingthedrazininverse

Ejemplares similares