| 非奇异H-矩阵的一组新判定 |
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| 引用本文： | 邰志艳,李庆春. 非奇异H-矩阵的一组新判定[J]. 吉林大学学报(理学版), 2014, 52(6): 1171-1175 |
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| 作者姓名： | 邰志艳 李庆春 |
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| 作者单位： | 1. 吉林医药学院 数学教研室, 吉林 吉林 132013； 2. 北华大学 数学与统计学院, 吉林 吉林 132013 |
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| 基金项目： | 国家自然科学基金，吉林省教育厅“十一五”科学技术研究项目 |
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| 摘 要： | 根据α-对角占优矩阵理论, 运用不等式的放缩技巧, 得到非奇异H-矩阵的几个新判定条件, 推广并改进了已有的对H 矩阵的判定方法, 并用数值算例说明了所给判定方法的优越性.
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| 关 键 词： | 非奇异H-矩阵 对角占优矩阵 正对角矩阵 &alpha -对角占优矩阵 |
| 收稿时间： | 2014-02-07 |
A Set of New Criteria for Nonsingular H-Matrices |
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| TAI Zhiyan,LI Qingchun. A Set of New Criteria for Nonsingular H-Matrices[J]. Journal of Jilin University: Sci Ed, 2014, 52(6): 1171-1175 |
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| Authors: | TAI Zhiyan LI Qingchun |
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| Affiliation: | 1. Department of Mathematics, Jilin Medical College, Jilin 132013, Jilin Province, China;2. College of Mathematics and Statistics, Beihua University, Jilin 132013, Jilin Province, China |
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| Abstract: | Based on the theory of α-diagonally dominant matrices and some techniques for inequlities, several new sufficient conditions to determine non singular H-matrices were obtained and thus the corresponding results were improved and generalized. These conditions haveimproved and generalized some relate existed results for H matrices. A numerical example was given to show the advantages of our results. |
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| Keywords: | nonsingular H-matrices diagonlly dominant matrices positive diagonally matrices α-diagonal dominant matrices |
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