comparison results on the preconditioned mixed-type splitting iterative method for m-matrix linear systems
نویسندگان
چکیده
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.
منابع مشابه
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عنوان ژورنال:
bulletin of the iranian mathematical societyجلد ۳۸، شماره ۲، صفحات ۳۴۹-۳۶۷
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