| SOR法求解病态方程组的修正算法及其最优松弛因子 |
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| 引用本文： | 方秀男,汤凤香,杨文泉,李东,邹晓范. SOR法求解病态方程组的修正算法及其最优松弛因子[J]. 高师理科学刊, 2013, 0(2): 20-22 |
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| 作者姓名： | 方秀男 汤凤香 杨文泉 李东 邹晓范 |
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| 作者单位： | 佳木斯大学理学院 |
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| 基金项目： | 佳木斯大学科研基金项目(L2010-114) |
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| 摘 要： | 针对一类病态方程组的SOR法进行了研究,在引入残差的基础上,提出了求解的修正SOR方法,对其最优松弛因子进行了分析,并通过实例对修正算法做了进一步的探讨.
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| 关 键 词： | 病态方程组 SOR法 残差 修正算法 最优松弛因子 |
On the research of modified SOR method in solving ill-conditioned equations and its optimal relaxation parameter |
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| FANG Xiu-nan,TANG Feng-xiang,YANG Wen-quan,LI Dong,ZOU Xiao-fan. On the research of modified SOR method in solving ill-conditioned equations and its optimal relaxation parameter[J]. Journal of Science of Teachers＇College and University, 2013, 0(2): 20-22 |
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| Authors: | FANG Xiu-nan TANG Feng-xiang YANG Wen-quan LI Dong ZOU Xiao-fan |
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| Affiliation: | (School of Science,Jiamusi University,Jiamusi 154007,China) |
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| Abstract: | Researched a kind of ill-conditioned equations with SOR method,and on the basis of the introduction of residual,proposed a new modified SOR method.Then the analysis about its optimal relaxation factor was provided.Finally further explored the modified algorithm through an example. |
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| Keywords: | ill-conditioned equations SOR method residual modified algorithm optimal relaxation factor |
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