Year: 2012
Author: Qun Lin, Wujian Peng
Advances in Applied Mathematics and Mechanics, Vol. 4 (2012), Iss. 4 : pp. 473–482
Abstract
An acceleration scheme based on stationary iterative methods is presented for solving linear system of equations. Unlike Chebyshev semi-iterative method which requires accurate estimation of the bounds for iterative matrix eigenvalues, we use a wide range of Chebyshev-like polynomials for the accelerating process without estimating the bounds of the iterative matrix. A detailed error analysis is presented and convergence rates are obtained. Numerical experiments are carried out and comparisons with classical Jacobi and Chebyshev semi-iterative methods are provided.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.10-m1162
Advances in Applied Mathematics and Mechanics, Vol. 4 (2012), Iss. 4 : pp. 473–482
Published online: 2012-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Iterative method error analysis recurrence.