The superiority of a new type (2, 2)-step iterative method over the related Chebyshev method
نویسندگان
چکیده
A new type ð2; 2Þ-step iterative method related to an optimal Chebyshev method is developed for solving real and nonsymmetric linear systems of the form Ax 1⁄4 b. It is an extension of the ð2; 2Þ-step iterative method introduced in [Numer. Linear Algebra Appl. 7 (2000) 169]. The superiority of the new type ð2; 2Þ-step iterative method over the optimal Chebyshev method is derived in the case where the known ð2; 2Þ-step iterative method may not improve the asymptotic rate of convergence. Two numerical examples are given to illustrate the results. 2004 Elsevier Inc. All rights reserved.
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ورودعنوان ژورنال:
- Applied Mathematics and Computation
دوره 162 شماره
صفحات -
تاریخ انتشار 2005