| 非奇异H-矩阵的新判据 |
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| 引用本文： | 邰志艳,李庆春,胡硕.非奇异H-矩阵的新判据[J].吉林大学学报(理学版),2016,54(5):1022-1026. |
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| 作者姓名： | 邰志艳 李庆春 胡硕 |
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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； 3. 沈阳铁路局 大连机务段, 辽宁 大连 116000 |
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| 摘 要： | 运用α-链对角占优矩阵的理论及Holder不等式的放缩技巧, 得到非奇异H-矩阵的几个新判据, 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有效性和优越性.
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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 -链对角占优矩阵 |
| 收稿时间： | 2015-12-01 |
New Criteria for Nonsingular H-Matrices |
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| TAI Zhiyan,LI Qingchun,HU Shuo.New Criteria for Nonsingular H-Matrices[J].Journal of Jilin University: Sci Ed,2016,54(5):1022-1026. |
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| Authors: | TAI Zhiyan LI Qingchun HU Shuo |
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| Institution: | 1. Department of Mathematics, Jilin Medical University, Jilin 132013, Jilin Province, China;2. School of Mathematics and Statistics, Beihua University, Jilin 132013, Jilin Province, China；3. Dalian Locomotive Depot, Shenyang Railway Bureau, Dalian 116000, Liaoning Province, China |
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| Abstract: | By using the theory of α-chain diagonally dominant matrices and some techniques for Hlder inequalities, we obtainedsome new criteria for non singular H-matrices, and thus the corresponding results improved and generalized the existing determination methods for H-matrices. The validity and superiority of the determination methods were illustrated by numerical examples. |
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| Keywords: | nonsingular H-matrix diagonally dominant matrix positive diagonal matrix &alpha -chain diagonally dominant matrix |
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