Optimal stretched parameters for the SOR iterative method
نویسندگان
چکیده
منابع مشابه
The Sigma-sor Algorithm and the Optimal Strategy for the Utilization of the Sor Iterative Method
The paper describes, discusses, and numerically illustrates the method for obtaining a priori estimates of the optimum relaxation factor in the SOR iteration method. The computational strategy of this method uses the so-called Sigma-SOR algorithm based on the theoretical result proven in the paper. The method presented is especially efficient for problems with slowly convergent iteration proces...
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For the augmented system of linear equations, Zhang and Lu (2008) recently studied the generalized symmetric SOR method (GSSOR) with two parameters. In this note, the optimal parameters of the GSSOR method are obtained, and numerical examples are given to illustrate the corresponding results. © 2014 Elsevier B.V. All rights reserved.
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Our purpose in this paper is to extend p{cyclic SOR theory to consistent singular systems and to apply the results to the solution of large scale systems arising, e.g., in queueing network problems in Markov analysis. Markov chains and queueing models lead to structured singular linear systems and are playing an increasing role in the understanding of complex phenomena arising in computer, comm...
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We consider the application of semi-iterative methods (SIM) to the standard (SOR) method with complex relaxation parameter ω, under the following two assumptions: (1) the associated Jacobi matrix J is consistently ordered and weakly cyclic of index 2, and (2) the spectrum σ(J ) of J belongs to a compact subset of the complex plane C, which is symmetric with respect to the origin. By using resul...
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In this work we consider the Successive Overrelaxation (SOR) method for the solution of a linear system Ax = b, when the matrix A has a block p X P partitioned p-cyclic form and its associated block Jacobi matrix Jp 1s weaJdy cyclic of index p. Following the pioneering work by Young and Varga in the 50s many researchers have considered various cases for the spectrum 0'(Jp ) and have determlned ...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 1993
ISSN: 0377-0427
DOI: 10.1016/0377-0427(93)90026-8