A New Version of the Accelerated Overrelaxation Iterative Method

الملخص EN

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.