| 多分裂形式下的SOR迭代法收敛性分析 |
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| 引用本文： | 雷刚.多分裂形式下的SOR迭代法收敛性分析[J].江南大学学报(自然科学版),2012,11(1):91-94. |
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| 作者姓名： | 雷刚 |
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| 作者单位： | 宝鸡文理学院数学系,陕西宝鸡,721013 |
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| 基金项目： | 国家自然科学基金，宝鸡文理学院重点项目 |
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| 摘 要： | 在预条件方法解大型线性方程组Ax =b时,给出预条件后多种分裂形式的SOR迭代方法,说明这些方法能够使SOR迭代法收敛,并与一般的预条件方法进行比较分析,证明了这些分裂形式加速效果更好.最后用数值例子加以验证.
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| 关 键 词： | 预处理 收敛性 SOR迭代法 |
Convergence Analysis of the SOR Iterative Method in a Variety of Splitting |
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| LEI Gang.Convergence Analysis of the SOR Iterative Method in a Variety of Splitting[J].Journal of Southern Yangtze University:Natural Science Edition,2012,11(1):91-94. |
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| Authors: | LEI Gang |
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| Institution: | LEI Gang (Department of Mathematics,Baoji University of Arts and Sciences,Baoji 721013,China) |
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| Abstract: | By using the preconditioned iterative method for solving the linear system Ax=b,the paper gives several types splitting of the SOR iterative method in preconditioned,then proves that these new split methods can accelerate convergence,and explains why the convergence rate is faster than general SOR method.Finally the numerical example is given. |
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| Keywords: | precondition convergence the SOR iteration method |
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