| 论线性方程组迭代解法的收敛与加速 |
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| 引用本文： | 沐定夷 戴中寅. 论线性方程组迭代解法的收敛与加速[J]. 上海交通大学学报, 1994, 28(1): 108-115 |
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| 作者姓名： | 沐定夷 戴中寅 |
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| 作者单位： | 应用数学系 |
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| 摘 要： | 本文应用Ｓｈａｎｋｓ变换讨论了线性方程组的迭代求解问题，在一定条件下将发散的迭代序列改变为收敛的序列，并探讨了收敛的迭代序列的加速问题。
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| 关 键 词： | 线性方程组 迭代 收敛 Shanks变换 |
On Convergence and Acceleration of Iterative Method of Linear Equations |
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| Mu Dingyi,Dai Zhongyin. On Convergence and Acceleration of Iterative Method of Linear Equations[J]. Journal of Shanghai Jiaotong University, 1994, 28(1): 108-115 |
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| Authors: | Mu Dingyi Dai Zhongyin |
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| Affiliation: | Mu Dingyi;Dai Zhongyin |
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| Abstract: | In this paper,the iterative method of linear equations is discussed by using Shanks' transformation. The divergent iterative sequence is changed into a convergent one under the some conditions. And the acceleration of the convergent iterative sequence has been studied. |
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| Keywords: | linear equations iteration convergence acceleration Shanks'transformation. |
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