| 广义对角占优矩阵的讨论及其 在神经网络系统中的应用 |
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| 引用本文： | 赵远英,王峰.广义对角占优矩阵的讨论及其 在神经网络系统中的应用[J].安徽大学学报(自然科学版),2017,41(3). |
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| 作者姓名： | 赵远英 王峰 |
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| 作者单位： | 贵阳学院 数学与信息科学学院,贵州 贵阳,550005;贵州民族大学 理学院,贵州 贵阳,550025 |
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| 基金项目： | 国家自然科学基金资助项目，贵州省科技厅联合基金资助项目，贵州省教育厅自然科学基金资助项目 |
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| 摘 要： | 广义对角占优矩阵在神经网络系统稳定性的研究中具有重要作用,但在实用中要判别广义对角占优矩阵是十分困难的.给出判定广义对角占优矩阵的一组新条件,并给出其在神经网络系统中的应用.相应数值例子说明了结果的有效性.
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| 关 键 词： | 广义对角占优矩阵 神经网络系统 对角占优性 不可约 非零元素链 |
Discussion for generalized diagonally dominant matrices and its application on neural network system |
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| ZHAO Yuanying,WANG Feng.Discussion for generalized diagonally dominant matrices and its application on neural network system[J].Journal of Anhui University(Natural Sciences),2017,41(3). |
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| Authors: | ZHAO Yuanying WANG Feng |
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| Abstract: | Generalized diagonally dominant matrices played an important role in the stability of neural network system.But it was difficult to determine a generalized diagonally dominant matrix in practice.In this paper, some criteria for generalized diagonally dominant matrices were obtained, and its application on neural network system was also given.Advantages of results obtained were illustrated by a numerical example. |
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| Keywords: | generalized diagonally dominant matrices neural network system diagonally dominant irreducible nonzero |
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