| 求解大型稀疏线性方程组的广义AOR迭代法(英文) |
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| 引用本文： | 任孚鲛,温瑞萍.求解大型稀疏线性方程组的广义AOR迭代法(英文)[J].太原师范学院学报(自然科学版),2010,9(1):21-24. |
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| 作者姓名： | 任孚鲛 温瑞萍 |
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| 作者单位： | 太原师范学院,数学系,山西,太原,030012 |
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| 基金项目： | 山西省高校重点学科建设专项资金 |
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| 摘 要： | 基于一种新的更一般分裂,文章提出求解大型稀疏线性方程组的广义AOR迭代法,它的显著特征是更易于执行并行计算.进一步,AOR方法的一些性质相应地推广到了新方法中.最后,用数值例子验证了新方法的优点.
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| 关 键 词： | 线性方程组 并行计算 广义AOR迭代法 |
The Generalized Accelerated Overrelaxation Iterative Method for Solving Large Sparse Linear Systems |
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| Ren Fujiao,Wen Ruiping.The Generalized Accelerated Overrelaxation Iterative Method for Solving Large Sparse Linear Systems[J].Journal of Taiyuan Normal University:Natural Science Edition,2010,9(1):21-24. |
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| Authors: | Ren Fujiao Wen Ruiping |
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| Institution: | Ren Fujiao Wen Ruiping (Department of Mathematics,Taiyuan Normal University,Taiyuan 030012,China) |
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| Abstract: | A generalization of the accelerated overrelaxation(GAOR)method is presented,which based on the new class of matrix splittings.The remarkable feature of this new iterative method is that the method was easily implemented for parallel computation.Some theories of the AOR method were extended to the GAOR method.Finally,numerical examples show the advantage of this method. |
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| Keywords: | linear systems parallel computation generalized AOR iterative method |
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