A necessary condition for the convergence of the accelerated overrelaxation (AOR) method
نویسندگان
چکیده
منابع مشابه
On convergence of the generalized accelerated overrelaxation method
In this paper, we study the convergence of the generalized accelerated overrelaxation (GAOR) iterative method. That is an extension of the classical convergence result of the generalized successive overrelaxation (GSOR) iterative method. We proposed some theorems, which they obtain better results than similar works. By some numerical examples we show the goodness of our results. 2006 Elsevier I...
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A new variant of the accelerated over relaxation (AOR) method for solving systems of linear algebraic equations, the KAOR method is established. The treatment depends on the use of the extrapolation techniques introduced by Hadjidimos (1978) and the KSOR introduced by Youssef (2012) and its modified version published in (2013). The KAOR is an extrapolation version of the KSOR. This approach has...
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This paper describes a method for the numerical solution of linear systems of equations. The method is a two-parameter generalization of the Successive Overrelaxation (SOR) method such that when the two parameters involved are equal it coincides with the SOR method. Finally, a numerical example is given to show the superiority of the new method.
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In this paper we give the optimum parameters for the Accelerated Overrelaxation (AOR) method in the special case where the matrix coefficient of the linear system, which is solved, is consistently ordered with nonvanishing diagonal elements. Under certain assumptions, concerning the eigenvalues of the corresponding Jacobi matrix, it is shown that the optimum AOR method gives better convergence ...
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In Gao and Huang [Z.X. Gao, T.Z Huang, Convergence of AOR method, Appl. Math. Comput. 176 (2006) 134–140] some practical sufficient conditions for the convergence of the AOR (accelerated overrelaxation) method for solving linear system Ax 1⁄4 b, with A being doubly diagonally dominant matrix, are presented. Using a different approach we will give some improvements in both cases, when the matrix...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 1989
ISSN: 0377-0427
DOI: 10.1016/0377-0427(89)90309-9