| 广义严格对角占优矩阵的新判定条件 |
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| 引用本文： | 邰志艳,李庆春.广义严格对角占优矩阵的新判定条件[J].吉林大学学报(理学版),2011,49(2):218-222. |
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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： | 应用α-链对角占优矩阵的性质,结合不等式放缩技巧并采用寻找正对角阵因子的方法给出判定广义严格对角占优矩阵的一些新的充分条件,推广和改进了已有对广义严格对角占优矩阵的判定方法,并用数值算例证明了结果的优越性.
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| 关 键 词： | 对角占优矩阵 α-链对角占优矩阵 非零元素链 正对角矩阵 |
| 收稿时间： | 2010-05-06 |
New Criteria for Generalized Strictly Diagonlly Dominant Matrices |
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| TAI Zhi-yan,LI Qing-chun.New Criteria for Generalized Strictly Diagonlly Dominant Matrices[J].Journal of Jilin University: Sci Ed,2011,49(2):218-222. |
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| Authors: | TAI Zhi-yan LI Qing-chun |
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| Institution: | 1. Department of Mathematics, Jilin Medical College, Jilin 132013, Jilin Province, China;2. College of Mathematics, Beihua University, Jilin 132013, Jilin Province, China |
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| Abstract: | Based on the properties of α-chain diagonlly dominant matrices, several new sufficient conditions to determine generalized strictly diagonlly dominant matrices were given by means of some techniques for inequalities and a method for finding positive diagonal matrix factors, and thus the corresponding results are improved and generalized. A numerical example was given toshow the advantages of our new criteria. |
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| Keywords: | diagonlly dominant matrices α-chain diagonlly dominant matrices nonzero elements chain positive diagonally matrices |
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