| 用加权迭代改善法解病态方程组的研究 |
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| 引用本文： | 张春梅,姚晟. 用加权迭代改善法解病态方程组的研究[J]. 安庆师范学院学报(自然科学版), 2004, 10(1): 78-79 |
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| 作者姓名： | 张春梅 姚晟 |
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| 作者单位： | 安庆师范学院,计算机系,安徽,安庆,246011;安徽大学计算机科学与信息工程学院,计算机系,安徽,合肥,230039 |
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| 摘 要： | 本文从理论上证明了加权迭代改善法得到的近似解序列收敛到方程组的真解,给出了该算法的计算机实现过程,并以Hilbert病态方程组为例,验证了该算法求解的有效性。
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| 关 键 词： | 病态线性方程组 加权迭代改善法 收敛性 |
| 文章编号： | 1007-4260(2004)01-0078-02 |
On the Research of Weight Iterative Improvement Method for Morbid State Linear Systems |
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| ZHANG Chun-mei,YAO Sheng. On the Research of Weight Iterative Improvement Method for Morbid State Linear Systems[J]. Journal of Anqing Teachers College(Natural Science Edition), 2004, 10(1): 78-79 |
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| Authors: | ZHANG Chun-mei YAO Sheng |
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| Affiliation: | ZHANG Chun-mei~1,YAO Sheng~2 |
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| Abstract: | This paper proves theoretically that the appropriate sequence obtained with weight iterative improvement method is convergent to the true solution of the original linear systems. Then it gives implement procedure of the method by computer. In the end the author verifies that the method is effective through taking Hilbert morbid state linear systems as an example. |
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| Keywords: | morbid state linear systems weight iterative improvement method convergence |
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