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.
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
