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A New Version of the Accelerated Overrelaxation Iterative Method

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  • Shi-Liang Wu
  • Yu-Jun Liu

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.

Suggested Citation

  • Shi-Liang Wu & Yu-Jun Liu, 2014. "A New Version of the Accelerated Overrelaxation Iterative Method," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-6, August.
    • Handle: RePEc:hin:jnljam:725360
    DOI: 10.1155/2014/725360
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