| 新的预条件AOR迭代方法和比较定理 |
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| 引用本文： | 王楠楠,赵建立.新的预条件AOR迭代方法和比较定理[J].井冈山大学学报（自然科学版）,2011(3):6-8. |
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| 作者姓名： | 王楠楠 赵建立 |
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| 作者单位： | 聊城大学数学科学学院; |
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| 基金项目： | 国家自然科学基金项目(10771073) |
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| 摘 要： | 提出了一种新的预条件AOR迭代法,对其收敛性进行了分析,给出该预条件AOR迭代法与经典AOR迭代法之间的比较性定理.最后的数值例子说明该预条件要优于经典的AOR迭代法.
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| 关 键 词： | 预条件 L-矩阵 AOR方法 SOR方法 |
NEW PRECONDITIONED AOR ITERATIVE METHOD AND COMPARISON THEOREMS |
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| WANG Nan-nan,ZHAO Jian-li.NEW PRECONDITIONED AOR ITERATIVE METHOD AND COMPARISON THEOREMS[J].Journal of Jinggangshan University(Natural Sciences Edition),2011(3):6-8. |
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| Authors: | WANG Nan-nan ZHAO Jian-li |
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| Institution: | WANG Nan-nan,ZHAO Jian-li (School of Mathematics Science,Liaocheng University,Liaocheng,Shandong 252059,China) |
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| Abstract: | A new preconditioned AOR iterative method was proposed. Based on the convergence analysis about the method,the comparison theorem between the new preconditioned AOR method and the classical AOR method was considered. Finally,the numerical example was shown that the new preconditioned method is better than the classical AOR method. |
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| Keywords: | preconditioned L-matrix AOR method SOR method |
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