,ON THE OPTIMIZATION OF EXTRAPOLATION METHODS FOR SINGULAR LINEAR SYSTEMS

• 作 者: Li Wang Yongzhong Song
• 机 构: School of Mathematics and Computer Science,Nanjing Normal University,Nanjing 210097,China
• 出 处: 计算数学（英文版）
• 发表日期: 2008年2期
• 关键词: Singular systems Extrapolated iterative method Semiconvergence Optimum value

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 ex-trapolation method as well as its associated optimum extrapolation parameter.Numerical examples are given to illustrate the theoretical results.