A New Version of the Accelerated Overrelaxation Iterative Method

Shi-Liang Wu and Yu-Jun Liu

Journal of Applied Mathematics, 2014, vol. 2014, 1-6

Abstract:

Hadjidimos (1978) proposed a classical accelerated overrelaxation (AOR) iterative method to solve the system of linear equations, and discussed its convergence under the conditions that the coefficient matrices are irreducible diagonal dominant, L -matrices, and consistently orders matrices. In this paper, a new version of the AOR method is presented. Some convergence results are derived when the coefficient matrices are irreducible diagonal dominant, H -matrices, symmetric positive definite matrices, and L -matrices. A relational graph for the new AOR method and the original AOR method is presented. Finally, a numerical example is presented to illustrate the efficiency of the proposed method.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:725360

DOI: 10.1155/2014/725360

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