Comparison results on the preconditioned mixed-type splitting iterative method for M-matrix linear systems
نویسندگان
چکیده مقاله:
Consider the linear system Ax=b where the coefficient matrix A is an M-matrix. In the present work, it is proved that the rate of convergence of the Gauss-Seidel method is faster than the mixed-type splitting and AOR (SOR) iterative methods for solving M-matrix linear systems. Furthermore, we improve the rate of convergence of the mixed-type splitting iterative method by applying a preconditioned matrix. Comparison theorems show that the rate of convergence of the preconditioned Gauss-Seidel method is faster than the preconditioned mixed-type splitting and AOR (SOR) iterative methods. Finally, some numerical examples are presented to illustrate the reality of our comparison theorems.
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عنوان ژورنال
دوره 38 شماره 2
صفحات 349- 367
تاریخ انتشار 2012-07-15
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