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 - <p style="text-align: justify;">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.</p>