| Sylvester矩阵方程的BP神经网络求解研究 |
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| 引用本文： | 高协平,徐建波.Sylvester矩阵方程的BP神经网络求解研究[J].湖南科技大学学报(自然科学版),1999,14(1). |
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| 作者姓名： | 高协平 徐建波 |
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| 作者单位： | 1. 湘潭大学计算与应用数学研究所,湖南,湘潭,411105
2. 湘潭矿业学院信息与电气工程系,湖南,湘潭,411201 |
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| 摘 要： | 利用神经网络的本质并行性和高度非线性映射能力，提出了Ｓｙｌｖｅｓｔｅｒ矩阵方程ＡＸＢ－ＣＸＤ＝Ｅ的ＢＰ神经网络求解方法，并给出了相应的数例模拟该方法网络构建简单，求解精度高，计算量小，实验结果表明其高效性参６
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| 关 键 词： | 前馈神经网络 Sylvester方程 BP学习算法 |
Research On the solution to the Sylvester matrix equation by using BP neural networks |
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| Gao Xieping,Xu Jianbo.Research On the solution to the Sylvester matrix equation by using BP neural networks[J].Journal of Hunan University of Science & Technology(Natural Science Editon),1999,14(1). |
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| Authors: | Gao Xieping Xu Jianbo |
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| Abstract: | Based on the nature that BP neural networks has the
inherent parallelism and the capabilities of intrinsic nonlinear mapping, the paper proposed a new
approach of using back error propagation of neural networks to solve Sylvester equations
numerically.The method has some merits:less computation, higher result precision and simpler to
construct-networks.Simulation experiments were given to demonstrate the superiority of the
proposed approach. 6refs. |
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| Keywords: | neural networks sylvester equations BP learing algorithm |
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