Improved convergence criteria for Jacobi and Gauss-Seidel iterations

dc.authorscopusid 9276702800
dc.contributor.author Özban, AY
dc.contributor.other Mathematics
dc.contributor.other Mathematics
dc.date.accessioned 2024-07-05T15:08:43Z
dc.date.available 2024-07-05T15:08:43Z
dc.date.issued 2004
dc.department Atılım University en_US
dc.department-temp Atilim Univ, Dept Math, TR-06836 Ankara, Turkey en_US
dc.description.abstract Some 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.citationcount 7
dc.identifier.doi 10.1016/S0096-3003(03)00587-3
dc.identifier.endpage 700 en_US
dc.identifier.issn 0096-3003
dc.identifier.issue 3 en_US
dc.identifier.scopus 2-s2.0-2342622090
dc.identifier.startpage 693 en_US
dc.identifier.uri https://doi.org/10.1016/S0096-3003(03)00587-3
dc.identifier.uri https://hdl.handle.net/20.500.14411/1091
dc.identifier.volume 152 en_US
dc.identifier.wos WOS:000222064900007
dc.identifier.wosquality Q1
dc.institutionauthor Özban, Ahmet Yaşar
dc.language.iso en en_US
dc.publisher Elsevier Science inc en_US
dc.relation.person Özban, Ahmet Yaşar
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.scopus.citedbyCount 9
dc.subject iterative methods en_US
dc.subject spectral radius en_US
dc.subject convergence en_US
dc.title Improved convergence criteria for Jacobi and Gauss-Seidel iterations en_US
dc.type Article en_US
dc.wos.citedbyCount 8
dspace.entity.type Publication
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relation.isAuthorOfPublication.latestForDiscovery 441f0f87-7ece-46f6-b47b-51c64752df12
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relation.isOrgUnitOfPublication.latestForDiscovery 31ddeb89-24da-4427-917a-250e710b969c

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