| 含参数分裂形式下的SSOR迭代法敛散性分析 |
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| 引用本文： | 雷刚.含参数分裂形式下的SSOR迭代法敛散性分析[J].宝鸡文理学院学报(自然科学版),2013,33(3):1-3,17. |
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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： | 目的改变和加速SSOR迭代法的收敛性。方法在以往预处理的基础上，通过引入参数改变矩阵的分裂形式，再通过矩阵比较理论比较迭代法的收敛速度。结果与结论这种新方法能加快SSOR迭代法的收敛速度，为科学计算中求解线性方程组节省时间。
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| 关 键 词： | 谱半径 收敛性速度 SSOR迭代法 M-矩阵 |
The convergence and divergence analysis of the preconditioned SSOR iterative method with parameter splitting form |
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| LEI Gang.The convergence and divergence analysis of the preconditioned SSOR iterative method with parameter splitting form[J].Journal of Baoji College of Arts and Science(Natural Science Edition),2013,33(3):1-3,17. |
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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: | Objective--To transform and accelerate the convergence of the preconditioned SSOR it- erative method. Method--Based on preconditioning, the convergence rate is compared through matrix comparison theory after introducing the splitting form that parameter changes matrix. Results Conclu- sion-This method can accelerate the convergence rate of the general preconditioned SSOR iterative method and sa~e time in the solution of the linear equation group in scientific computation. |
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| Keywords: | spectral radius convergence rate the SSOR iterative method M-matrix |
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