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Mathematics of Computation

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Optimum accelerated overrelaxation method in a special case

Authors: G. Avdelas and A. Hadjidimos
Journal: Math. Comp. 36 (1981), 183-187
MSC: Primary 65F10
Corrigendum: Math. Comp. 38 (1982), 657.
MathSciNet review: 595050
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Abstract: 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 rates than the optimum SOR does, while in the remaining cases the optimum AOR method coincides with the optimum SOR one.

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Article copyright: © Copyright 1981 American Mathematical Society