Abstract

In order to improve the convergence rates of iterative method solving the linear system Ax = b , a preconditioned AOR iterative method with a multi-parameters preconditioner I + S ∼ α is proposed. Some convergence and comparison results for α i ∈ [ 0 , 1 ] are given when A is an L-matrix. When A is an H-matrix, the convergence of the corresponding methods is discussed for α i ∈ [ 0 , α i ′ ) , where α i > 1 . Furthermore, effectiveness of the new preconditioner method is shown by numerical experiments. Numerical experiments show that our methods are superior to the basic AOR iterative methods.

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