| 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： | 王峰.非奇异H-矩阵的判定及其在神经网络系统中的应用[J].江南大学学报(自然科学版),2012,11(1):95-98. |
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| 作者姓名： | 王峰 |
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| 作者单位： | 菏泽学院数学系,山东菏泽,274015 |
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| 基金项目： | 国家自然科学基金，菏泽学院研究与发展项目 |
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| 摘 要： | 针对在实用中判别H-矩阵的困难性,通过对矩阵行标作划分的方法,给出了判定非奇异H-矩阵的一组新条件,改进了近期的相关结果,并给出其在神经网络系统中的应用.相应数值示例说明了结果的有效性.
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| 关 键 词： | 非奇异H-矩阵 对角占优性 不可约 非零元素链 神经网络系统 |
New Criteria for Nonsingular H-Matrices and Its Application on Neural Network System |
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| WANG Feng.New Criteria for Nonsingular H-Matrices and Its Application on Neural Network System[J].Journal of Southern Yangtze University:Natural Science Edition,2012,11(1):95-98. |
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| Authors: | WANG Feng |
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| Institution: | WANG Feng(Department of Mathematics,Heze University,Heze 274015,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 a nonsingular H-matrix in practice.In this paper,some sufficient conditions for nonsingular H-matrices are obtained according to the partition of the row indices,some related results are improved,and its application on neural network system is given.Advantages of results obtained are illustrated by a numerical example. |
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| Keywords: | nonsingular H-matrices diagonally dominant irreducible nonzero elements chain neural network system |
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