| 改进的非奇H矩阵的判定条件 |
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| 引用本文： | 赵良东,徐仲,陆全.改进的非奇H矩阵的判定条件[J].工程数学学报,2010,27(6). |
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| 作者姓名： | 赵良东 徐仲 陆全 |
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| 作者单位： | 西北工业大学应用数学系,西安,710072 |
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| 基金项目： | 国家自然科学基金(10802068)~~ |
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| 摘 要： | 非奇H矩阵在控制论,经济数学和动力系统理论等领域中起着重要的作用,但在实际中判定非奇H矩阵是比较困难的。本文给出了非奇H矩阵的几个判定条件,改进和推广了近期的一些结果。数值算例表明,这些条件是实用的且判定范围更广。
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| 关 键 词： | 广义严格对角占优矩阵 非奇H矩阵 判定条件 |
Improved Determinate Conditions for the Nonsingular H-matrix |
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| ZHAO Liang-dong,XU Zhong,LU Quan.Improved Determinate Conditions for the Nonsingular H-matrix[J].Chinese Journal of Engineering Mathematics,2010,27(6). |
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| Authors: | ZHAO Liang-dong XU Zhong LU Quan |
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| Abstract: | Nonsingular H-matrices play an important role in control theory,mathematical economics,dynamic system,etc.But it is diffcult to determine the nonsingularity of a nonsingular H-matrix in practice.In this paper,a set of determinate conditions for nonsingular H-matrices are obtained,which improved and generalized recent results.Numerical result indicates the conditions are practical and effective. |
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| Keywords: | generalized strictly diagonally dominant matrices nonsingular H-matrix determinate conditions |
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