| α-对角占优矩阵的等价表征及应用 |
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| 引用本文： | 邰志艳,李庆春,胡硕.α-对角占优矩阵的等价表征及应用[J].吉林大学学报(理学版),2015,53(5):934-938. |
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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： | 先利用不等式理论给出严格α-对角占优矩阵的充要条件,再根据严格α-对角占优矩阵的性质证明得出非奇异H-矩阵的简单实用判定方法,并通过数值算例验证了结果的有效性和优越性.
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| 关 键 词： | &alpha -对角占优矩阵 不可约对角占优矩阵 非奇异H-矩阵 非零元素链 |
| 收稿时间： | 2014-12-18 |
Equivalent Representations ofα-Diagonally Dominant Matrix and Its Applications |
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| TAI Zhiyan,LI Qingchun,HU Shuo.Equivalent Representations ofα-Diagonally Dominant Matrix and Its Applications[J].Journal of Jilin University: Sci Ed,2015,53(5):934-938. |
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| Authors: | TAI Zhiyan LI Qingchun HU Shuo |
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| Institution: | 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；3. Dalian Locomotive of Shenyang Railway Bureau, Dalian 116000, Liaoning Province, China |
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| Abstract: | Based on the theory of inequality, the necessary and sufficient conditions of strictly α-diagonally dominant matrix were presented. According to the properties of strictly α-diagonally dominant matrix, simple and practical criteria to judge nonsingular H-matrix were obtained. The validity and superiority of the results were verified by a numerical example. |
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| Keywords: | α-diagonally dominant matrix irreducible diagonally dominant matrix nonsingular H-matrix nonzero elements chain |
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