Optimum spectral parameter and convergency for stationary iterative methods in the case of three-diagonal SLAE

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dc.contributor.authorKulikov, Sergey
dc.date.accessioned2016-12-30T08:54:11Z
dc.date.available2016-12-30T08:54:11Z
dc.date.issued2003
dc.descriptionurl: http://sjam.selcuk.edu.tr/sjam/article/view/129en_US
dc.description.abstractThe modified stationary iterative methods of the solution of system of the linear algebraic equations (SLAE) are considered.For SLAE with a three-diagonal matrix with constant factors it is shown, that eigenvalues of modified matrices or the operator, participating in series of simple iteration, are expressed through roots of Chebyshev polynomials of the second kind. On this basis strict expressions through factors of an initial matrix for optimum parameter of convergence and spectral radius are found. So for Successive Overrelaxation method strict expression for the optimum parameter of convergence w0 laying on an interval (0,2) is found. It is shown, that convergence of the optimum modified series essentially improves.en_US
dc.identifier.citationKulikov, S. (2003). Optimum spectral parameter and convergency for stationary iterative methods in the case of three-diagonal SLAE. Selcuk Journal of Applied Mathematics, 4 (2), 89-102.en_US
dc.identifier.endpage102
dc.identifier.issn1302-7980en_US
dc.identifier.startpage89
dc.identifier.urihttps://hdl.handle.net/20.500.12395/3612
dc.identifier.volume4
dc.language.isoenen_US
dc.publisherSelcuk University Research Center of Applied Mathematicsen_US
dc.relation.ispartofSelcuk Journal of Applied Mathematicsen_US
dc.relation.publicationcategoryMakale - Kategori Belirleneceken_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.selcuk20240510_oaigen_US
dc.subjectSabit yinelemeli yöntemleren_US
dc.subjectSpektral yarıçapen_US
dc.subjectMatris denklemlerien_US
dc.subjectStationary iterative methodsen_US
dc.subjectSpectral radiusen_US
dc.subjectMatrix equationsen_US
dc.titleOptimum spectral parameter and convergency for stationary iterative methods in the case of three-diagonal SLAEen_US
dc.typeArticleen_US

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