| 基于不同分裂形式的逐次超松弛迭代法收敛性 |
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| 引用本文： | 雷刚.基于不同分裂形式的逐次超松弛迭代法收敛性[J].河南科学,2012,30(4):400-403. |
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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： | 国家自然科学基金资助项目（10071048）; 宝鸡文理学院重点项目基金资助（ZK11015） |
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| 摘 要： | 在预条件后用逐次超松弛迭代方法解大型线性方程组Ax=b时,对迭代矩阵的分裂给出三种含参数分裂形式,分析证明不同分裂形式能够使超松弛迭代法收敛,并与一般的预条件方法进行比较分析,证明这些分裂形式加速效果更好.
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| 关 键 词： | 预处理 收敛性 超松弛迭代法 M-矩阵 |
The Convergence Analysis of the Successive Over Relaxation Iterative Method Based on Different Splitting Forms |
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| Lei Gang.The Convergence Analysis of the Successive Over Relaxation Iterative Method Based on Different Splitting Forms[J].Henan Science,2012,30(4):400-403. |
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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,Shaanxi China) |
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| Abstract: | By using the successive over relaxation iteration method to solve the linear system Ax=b after preconditioned,this paper gives three kinds of split forms with parameters,then analyzes and certificates that these different split forms can make iterative method convergent,and proves that these split forms accelerate convergence better than the general iterative method. |
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| Keywords: | precondition convergence over relaxation iteration method M-matrix |
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