求解鞍点问题的一类广义SSOR预条件子  

A GENERALIZED SSOR PRECONDITIONER FOR SADDLE POINT PROBLEMS

作　　者：朱雪芳[1] 

机构地区：[1]台州广播电视大学高职学院,浙江台州318000

出　　处：《数值计算与计算机应用》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)

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.

关 键 词：鞍点问题 预条件子 SSOR方法 预处理GMRES方法 

分 类 号：O241.6[理学—计算数学]