| 一类特殊矩阵的双因子SOR迭代 |
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| 引用本文： | 潘朝毅. 一类特殊矩阵的双因子SOR迭代[J]. 西南民族学院学报(自然科学版), 2009, 35(4): 704-707 |
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| 作者姓名： | 潘朝毅 |
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| 作者单位： | 四川教育学院数学系,四川成都,610041 |
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| 基金项目： | 四川省教育厅重点研究项目 |
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| 摘 要： | 具有性质A的矩阵总是可以经排列变换化为一种特殊结构的矩阵，对此类特殊结构矩阵导出了双因子SOR迭代格式．数值实例表明，适当地选择双因子，可以取得比普通SOR迭代更好的收敛速度．
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| 关 键 词： | SOR迭代 收敛性 双因子 性质A |
Dual factors SOR iteration method for a certain kind of matrix |
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| PAN Chao-yi. Dual factors SOR iteration method for a certain kind of matrix[J]. Journal of Southwest Nationalities College(Natural Science Edition), 2009, 35(4): 704-707 |
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| Authors: | PAN Chao-yi |
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| Affiliation: | PAN Chao-yi (Department of Mathematics, Sichuan College of Education, Chengdu 610041, P.R.C.) |
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| Abstract: | For every matrix A with property A, there exists a permutation matrix P such that the permutationed matrix has a special kind of structure, so a new dual factors SOR iterative method be derived for it. Numerical tests show that with appropriate choice of the dual factors, this modifiled SOR iterative method get better results than the ordinary one in many cases. |
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| Keywords: | SOR convergence dual factors property A |
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