Mathematical Sciences: Faculty Publications
The Superiority of a New Type of (2,2)-Step Iterative Methods Over the Related Chebyshev Method
Document Type
Article
Publication Date
3-15-2005
Publication Title
Applied Mathematics and Computation
DOI
10.1016/j.amc.2003.12.112
ISSN
0096-3003
Abstract
A new type (2,2)-step iterative method related to an optimal Chebyshev method is developed for solving real and nonsymmetric linear systems of the form Ax=b. It is an extension of the (2,2)-step iterative method introduced in [Numer. Linear Algebra Appl. 7 (2000) 169]. The superiority of the new type (2,2)-step iterative method over the optimal Chebyshev method is derived in the case where the known (2,2)-step iterative method may not improve the asymptotic rate of convergence. Two numerical examples are given to illustrate the results.
Recommended Citation
Chen, Mei-Qin, Xiezhang Li.
2005.
"The Superiority of a New Type of (2,2)-Step Iterative Methods Over the Related Chebyshev Method."
Applied Mathematics and Computation, 162 (2): 605-625.
doi: 10.1016/j.amc.2003.12.112
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/571
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