| 求解超定线性方程组及其相关问题的神经网络算法 |
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| 引用本文： | 任传波,于万明.求解超定线性方程组及其相关问题的神经网络算法[J].大连理工大学学报,1996,36(4):419-423. |
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| 作者姓名： | 任传波 于万明 |
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| 作者单位： | 大连理工大学工程力学系 |
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| 摘 要： | 探讨了用神经网络求解超定线性方程组及相关问题的可能性，并给出了求解的Ｈｅｂｂ算法，最后，求解了四个数值例子，获得了较为满意的结果。实例证明，对于用某些迭代法不能求解的线性方程组问题，本方法都能得到其收敛解。
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| 关 键 词： | 超定方程组 神经网络 Hebb算法 线性代数方程组 |
Algorithm of neural network for solving overdetermined systems of linear equations and related problems |
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| Ren Chuanbo,Yu Wanming,Yun Dazhen.Algorithm of neural network for solving overdetermined systems of linear equations and related problems[J].Journal of Dalian University of Technology,1996,36(4):419-423. |
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| Authors: | Ren Chuanbo Yu Wanming Yun Dazhen |
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| Abstract: | The possibility to solve over determined systems of linear equations by using neural networks is discussed, and the Hebb algorithm is given. Finally, four numerical examples are solved and the results are satisfactory. The examples show: for systems of linear equations that can't be solved with some iterated methods, the convergent solution of them can be gotten with the method proposed. |
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| Keywords: | over determined systems linear equations neural networks/the Hebb algorithm |
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