| 非奇异H-矩阵的判定及其在神经网络系统中的应用 |
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| 引用本文： | 孙德淑,李朝迁.非奇异H-矩阵的判定及其在神经网络系统中的应用[J].云南大学学报(自然科学版),2015,37(6):800-804. |
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| 作者姓名： | 孙德淑 李朝迁 |
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| 作者单位： | 1.云南大学 数学与统计学院, 云南 昆明 650091 |
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| 摘 要： | 非奇异H-矩阵在矩阵分析和数值代数的研究中具有重要作用,但判别H-矩阵是十分困难的.通过对矩阵行标作划分的方法,给出了非奇异H-矩阵新的判定条件,改进了已有结果,将其应用在神经网络系统中,并给出数值例子说明结果的有效性.
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| 关 键 词： | 非奇异H-矩阵 对角占优性 非零元素链 神经网络系统 |
| 收稿时间： | 2014-12-16 |
Criteria for nonsingular H-matrices and its application on neural network system |
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| SUN De-shu,LI Chao-qian.Criteria for nonsingular H-matrices and its application on neural network system[J].Journal of Yunnan University(Natural Sciences),2015,37(6):800-804. |
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| Authors: | SUN De-shu LI Chao-qian |
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| Institution: | 1.School of Mathematics and Statistics, Yunnan University, Kunming 650091, China |
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| Abstract: | Nonsingular H-matrices play a very important role in the research of matrix analysis and numerical algebra.But it is difficult to determine whether a matrix is a nonsingular H-matrix or not.Some sufficient conditions for nonsingular H-matrices are obtained according to the partition of the row indices, which improved some related results.And its application on neural network system is given.A numerical example is given to show its effectivity. |
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| Keywords: | nonsingular H-matrices diagonally dominant nonzero elements chain neural network system |
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