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.
Citation
Shi-Liang Wu. Yu-Jun Liu. "A New Version of the Accelerated Overrelaxation Iterative Method." J. Appl. Math. 2014 (SI21) 1 - 6, 2014. https://doi.org/10.1155/2014/725360