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...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.展开更多
基金supported by the National Natural Science Foundation of China under grant 10371056the Foundation for the Authors of the National Excellent Doctoral Thesis Award of China under grant 200720+1 种基金the Natural Science Foundation of Jiangsu Province under grant BK2006725the College Natural Science Foundation of Jiangsu Province under grant 05KJB110062
文摘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.
