On the preconditioning conjugate gradient method for the solution of 9-point elliptic difference equations

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dc.contributor.authorMazhar, Zeka
dc.contributor.authorDaoud, D.S
dc.contributor.authorSubaşı, Deniz
dc.date.accessioned2016-07-18T07:26:32Z
dc.date.available2016-07-18T07:26:32Z
dc.date.issued1994
dc.departmentEastern Mediterranean University, Faculty of Art & Sciences, Department of Mathematicsen_US
dc.descriptionDue to copyright restrictions, the access to the publisher version (published version) of this article is only available via subscription. You may click URI and have access to the Publisher Version of this article through the publisher web site or online databases, if your Library or institution has subscription to the related journal or publication.en_US
dc.description.abstractThe Preconditioned Conjugate Gradient (PCG) method is implemented to solve the system with 9 diagonal entries generated from a 9-point finite difference approximation of the self-adjoint elliptic partial differential equation using an incomplete matrix decomposition. A simpler matrix decomposition for such a linear system is also proposed with a main advantage that it preserves the symmetry of the original matrix, and is easy to implement. Results of the numerical experiments and comparison with other iterative methods are presented.en_US
dc.identifier.doi10.1080/00207169408804302
dc.identifier.endpage183en_US
dc.identifier.issn0020-7160(print)
dc.identifier.issn1029-0265(online)
dc.identifier.issue3-4en_US
dc.identifier.scopus2-s2.0-5844221788
dc.identifier.scopusqualityQ1
dc.identifier.startpage171en_US
dc.identifier.urihttp://dx.doi.org/10.1080/00207169408804302
dc.identifier.urihttps://hdl.handle.net/11129/2828
dc.identifier.volume52en_US
dc.identifier.wosWOS:A1994PP49900006
dc.identifier.wosqualityQ2
dc.indekslendigikaynakScopus
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherElsevier B.Ven_US
dc.relation.ispartofInternational Journal of Computer Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectPreconditioned conjugate gradient methoden_US
dc.subjectiterative methoden_US
dc.subjectself-adjoint partial differential equationen_US
dc.titleOn the preconditioning conjugate gradient method for the solution of 9-point elliptic difference equationsen_US
dc.typeArticle

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