An Acceleration Method for Stationary Iterative Solution to Linear System of Equations  

作　　者：Qun Lin Wujian Peng 

机构地区：[1]Academy of Math and System Sciences,Chinese Academy of Sciences,Institute Computational Mathematics,Beijing 100190,China [2]School of Mathematics and Information Sciences,Zhaoqing University,Zhaoqing,Guangdong 526061,China

出　　处：《Advances in Applied Mathematics and Mechanics》2012年第4期473-482,共10页应用数学与力学进展（英文）

摘　　要：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.

关 键 词：Iterative method error analysis RECURRENCE 

分 类 号：O17[理学—数学]