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

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dc.contributor.author Kulikov, Sergey
dc.date.accessioned 2016-12-30T08:54:11Z
dc.date.available 2016-12-30T08:54:11Z
dc.date.issued 2003
dc.identifier.citation Kulikov, 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. tr_TR
dc.identifier.issn 1302-7980
dc.identifier.uri http://hdl.handle.net/123456789/3612
dc.description url: http://sjam.selcuk.edu.tr/sjam/article/view/129 tr_TR
dc.description.abstract The 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. tr_TR
dc.language.iso en tr_TR
dc.publisher Selcuk University Research Center of Applied Mathematics tr_TR
dc.subject Sabit yinelemeli yöntemler tr_TR
dc.subject Spektral yarıçap tr_TR
dc.subject Matris denklemleri tr_TR
dc.subject Stationary iterative methods tr_TR
dc.subject Spectral radius tr_TR
dc.subject Matrix equations tr_TR
dc.title Optimum spectral parameter and convergency for stationary iterative methods in the case of three-diagonal SLAE tr_TR
dc.type Article tr_TR
dc.relation.journal Selcuk Journal of Applied Mathematics
dc.identifier.volume 4
dc.identifier.startpage 89
dc.identifier.endpage 102


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