摘要
本文研究了鞍点问题的预条件子.在SSOR型预处理方法的基础上,通过引入新的松弛参数,提出了一种广义的SSOR型预条件子,该预条件子需要选择一个预处理矩阵和2个待定参数.文中分析了预处理后系数矩阵特征值的性质及收敛性,最后用数值例子验证了新预条件子的有效性.
This paper studies a preconditioner for saddle point problems. Based on the SSOR pre- conditioning method, we present a generalized SSOR preconditioner by introducing two new parameters, the preconditioner needs to choose a preconditioning matrix and two uncertain parameters. Spectrum properties and convergence of the preconditioned matrix are studied. Numerical experiments are illustrated to show the efficiency of the new preconditioner.
出处
《数值计算与计算机应用》
CSCD
2014年第2期117-124,共8页
Journal on Numerical Methods and Computer Applications
基金
浙江省教育厅科研项目资助(Y201329203)
