| 一类非奇异$H$矩阵的新判据 |
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| 引用本文： | 刘长太,徐静,徐辉军.一类非奇异$H$矩阵的新判据[J].工程数学学报,2020,37(1):75-88. |
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| 作者姓名： | 刘长太 徐静 徐辉军 |
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| 作者单位： | 1- 扬州工业职业技术学院基础部，扬州2251272- 贵州民族大学理学院，贵阳550025 |
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| 基金项目： | 国家自然科学基金(11361074);贵州省科学基金([2015]2073);贵州省教育厅自然科学基金([2015]420)~~ |
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| 摘 要： | 非奇异 $H$ 矩阵的判别在经济数学和控制论等诸多领域是非常重要的．利用不等式的放缩技巧和构造精巧的正对角阵，得到了一组新的非奇异 $H$ 矩阵的充分条件，该条件简捷而实用且改进和推广了相应的结论，达到了非奇异 $H$ 矩阵判别范围扩大的目的．最后用数值算例验证了该充分条件的优越性．
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| 关 键 词： | 非奇异 $H$ 矩阵 广义 Nekrasov 矩阵 广义严格对角占优矩阵 不可约 非零元素链 |
| 收稿时间： | 2017-09-03 |
New Criteria for Nonsingular H-matrices |
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| LIU Chang-tai,XU Jing,XU Hui-jun.New Criteria for Nonsingular H-matrices[J].Chinese Journal of Engineering Mathematics,2020,37(1):75-88. |
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| Authors: | LIU Chang-tai XU Jing XU Hui-jun |
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| Affiliation: | 1- Department of Basic, Yangzhou Polytechnic Institute, Yangzhou 225127
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2- College of Science, Guizhou Minzu University, Guiyang 550025 |
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| Abstract: | To determine a given matrix is a nonsingular H-matrix or not plays an important role in mathematical economics,control theory,and so on.To get more nonsingular H-matrices easily,several practical sufficient conditions for nonsingular H-matrices are obtained by constructing exquisite positive diagonal matrices and applying some technical of inequalities.The corresponding results are improved and extended.Advantages of these results are illustrated by a numerical example. |
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| Keywords: | nonsingular H-matrices generalized Nekrasov matrices strictly generalized diagonally dominant matrices irreducibility nonzero elements chain |
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