ON THE OPTIMIZATION OF EXTRAPOLATION METHODS FOR SINGULAR LINEAR SYSTEMS  

作　　者：Li Wang Yongzhong Song 

机构地区：[1]School of Mathematics and Computer Science, Nanjing Normal University, Nanjing 210097, China

出　　处：《Journal of Computational Mathematics》2008年第2期227-239,共13页计算数学（英文）

基　　金：supported by the National Natural Science Foundation of China under grant 10371056;the Foundation for the Authors of the National Excellent Doctoral Thesis Award of China under grant 200720;the Natural Science Foundation of Jiangsu Province under grant BK2006725;the College Natural Science Foundation of Jiangsu Province under grant 05KJB110062

摘　　要：We discuss semiconvergence of the extrapolated iterative methods for solving singular linear systems. We obtain the upper bounds and the optimum convergence factor of the extrapolation method as well as its associated optimum extrapolation parameter. Numerical examples are given to illustrate the theoretical results.We discuss semiconvergence of the extrapolated iterative methods for solving singular linear systems. We obtain the upper bounds and the optimum convergence factor of the extrapolation method as well as its associated optimum extrapolation parameter. Numerical examples are given to illustrate the theoretical results.

关 键 词：Singular systems Extrapolated iterative method Semiconvergence Optimum value 

分 类 号：O151.2[理学—数学]