Improved convergence criteria for Jacobi and Gauss-Seidel iterations

dc.authorscopusid9276702800
dc.contributor.authorÖzban, Ahmet Yaşar
dc.contributor.otherMathematics
dc.contributor.otherMathematics
dc.date.accessioned2024-07-05T15:08:43Z
dc.date.available2024-07-05T15:08:43Z
dc.date.issued2004
dc.departmentAtılım Universityen_US
dc.department-tempAtilim Univ, Dept Math, TR-06836 Ankara, Turkeyen_US
dc.description.abstractSome simple criteria for the convergence of the Jacobi, Gauss-Seidel and SOR iterations have been proposed in the work of Huang [ZAMM 76-1 (1996) 57-58]. In this study we present some modified forms of the criteria introduced in Huang's work. The new criteria also allow for the norms of the Jacobi iteration matrices to be greater than unity. Numerical examples are also given which show the effectiveness of the criteria. (C) 2003 Elsevier Inc. All rights reserved.en_US
dc.identifier.citation7
dc.identifier.doi10.1016/S0096-3003(03)00587-3
dc.identifier.endpage700en_US
dc.identifier.issn0096-3003
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-2342622090
dc.identifier.startpage693en_US
dc.identifier.urihttps://doi.org/10.1016/S0096-3003(03)00587-3
dc.identifier.urihttps://hdl.handle.net/20.500.14411/1091
dc.identifier.volume152en_US
dc.identifier.wosWOS:000222064900007
dc.identifier.wosqualityQ1
dc.institutionauthorÖzban, AY
dc.language.isoenen_US
dc.publisherElsevier Science incen_US
dc.relation.personÖzban, Ahmet Yaşar
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectiterative methodsen_US
dc.subjectspectral radiusen_US
dc.subjectconvergenceen_US
dc.titleImproved convergence criteria for Jacobi and Gauss-Seidel iterationsen_US
dc.typeArticleen_US
dspace.entity.typePublication
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relation.isAuthorOfPublication.latestForDiscovery441f0f87-7ece-46f6-b47b-51c64752df12
relation.isOrgUnitOfPublication31ddeb89-24da-4427-917a-250e710b969c
relation.isOrgUnitOfPublication.latestForDiscovery31ddeb89-24da-4427-917a-250e710b969c

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