| 预处理后不同分裂形式下的松弛迭代法敛散性分析 |
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| 引用本文： | 雷刚.预处理后不同分裂形式下的松弛迭代法敛散性分析[J].西安工程科技学院学报,2013(5):671-674. |
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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（11371031）;陕西省自然科学基础研究计划资助项目（2013JM1001） |
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| 摘 要： | 在以往预处理的基础上，结合矩阵分析及分裂理论，用迭代法求解线性方程组Ax=b，给出预处理后松弛迭代法的2种不同分裂形式，从理论和数值两个方面说明这种分裂形式的收敛效果优于常见的预处理方法．
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| 关 键 词： | 预处理 收敛性 超松弛迭代法 M-矩阵 |
The convergence of the preconditioned successive over relaxation iterative method in different splitting |
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| LEI Gang.The convergence of the preconditioned successive over relaxation iterative method in different splitting[J].Journal of Xi an University of Engineering Science and Technology,2013(5):671-674. |
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| Authors: | LEI Gang |
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| Institution: | LEI Gang (Department of Mathematics, Baoji University of Arts and Sciences, Baoji,Shaanxi 721013,China) |
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| Abstract: | The iteration method to solve the linear system Ax= b is discussed, based on the preconditioned, by using matrix iterative analysis and splitting theorems, two different splitting of successive over relaxation in preconditioned are given, then compared with the general preconditioned iterative method from theory and numerical to explain these convergence rates is faster. |
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| Keywords: | precondition convergence the successive over relaxation iteration method M-matrices |
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