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

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dc.contributor.author	Mazhar, Zeka
dc.contributor.author	Daoud, D.S
dc.contributor.author	Subaşı, Deniz
dc.date.accessioned	2016-07-18T07:26:32Z
dc.date.available	2016-07-18T07:26:32Z
dc.date.issued	1994
dc.identifier.issn	0020-7160(print)
dc.identifier.issn	1029-0265(online)
dc.identifier.uri	http://dx.doi.org/10.1080/00207169408804302
dc.identifier.uri	http://hdl.handle.net/11129/2828
dc.description	Due 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.abstract	The 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.language.iso	eng	en_US
dc.publisher	Elsevier B.V	en_US
dc.relation.isversionof	10.1080/00207169408804302	en_US
dc.rights	info:eu-repo/semantics/closedAccess	en_US
dc.subject	Preconditioned conjugate gradient method	en_US
dc.subject	iterative method	en_US
dc.subject	self-adjoint partial differential equation	en_US
dc.title	On the preconditioning conjugate gradient method for the solution of 9-point elliptic difference equations	en_US
dc.type	article	en_US
dc.relation.journal	International Journal of Computer Mathematics	en_US
dc.contributor.department	Eastern Mediterranean University, Faculty of Art & Sciences, Department of Mathematics	en_US
dc.identifier.volume	52	en_US
dc.identifier.issue	3-4	en_US
dc.identifier.startpage	171	en_US
dc.identifier.endpage	183	en_US