TY - JOUR T1 - An Acceleration Method for Stationary Iterative Solution to Linear System of Equations AU - Lin , Qun AU - Peng , Wujian JO - Advances in Applied Mathematics and Mechanics VL - 4 SP - 473 EP - 482 PY - 2012 DA - 2012/04 SN - 4 DO - http://doi.org/10.4208/aamm.10-m1162 UR - https://global-sci.org/intro/article_detail/aamm/131.html KW - Iterative method, error analysis, recurrence. AB -

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.