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关于广义对称SOR方法的收敛性
引用本文:陆云增,张乃敏.关于广义对称SOR方法的收敛性[J].温州大学学报(社会科学版),2009(5):16-21.
作者姓名:陆云增  张乃敏
作者单位:温州大学数学与信息科学学院,浙江温州325035
基金项目:浙江省自然科学基金(y606009)
摘    要:对求解对称线性鞍点问题的广义对称SOR(successive over-relaxation)方法作了进一步的推广,即把该方法运用于求解非对称线性鞍点问题之中,并给出了其收敛的充要条件.

关 键 词:广义对称SOR方法  收敛性  充要条件

Study on the Convergence of Generalized Symmetric SOR Method
LU Yunzeng,ZHANG Naimin.Study on the Convergence of Generalized Symmetric SOR Method[J].Journal of Wenzhou University Natural Science,2009(5):16-21.
Authors:LU Yunzeng  ZHANG Naimin
Institution:(College of Mathematics and Information Science, Wenzhou University, Wenzhou, China 325035)
Abstract:The generalized symmetric SOR (successive over-relaxation) method for solving the symmetric linear saddle point problem was further studied in this paper. The method could be used to solve asymmetric linear saddle point problem. And the sufficient and necessary condition of the convergence of this method was also provided.
Keywords:Generalized Symmetric SOR Method  Convergence  Sufficient and Necessary Condition
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