Title: COMPARISON THEOREMS FOR A CLASS OF PRECONDITIONED AOR ITERATIVE METHODS
Abstract: In this paper, the preconditioned AOR iterative methods with the preconditioners P1→kαare studied when the coefficient matrix of the linear system is a strictly diagonally dominant L-matrix. By using the related theories of matrix splitting, the convergence performance of the preconditioned AOR methods and the comparison theorems about the influence of the parametersα and k on the rate of convergence are obtained. The results indicate that the preconditioners with the big k and α are efficient and competitive for the preconditioned AOR methods. The results in the paper generalize those about the preconditioned Gauss-Seidel methods given by Li et al.Numerical examples further verify the results.
Publication Year: 2014
Publication Date: 2014-01-01
Language: en
Type: article
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