| 非奇异H-矩阵的细分迭代判定 |
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| 引用本文： | 李敏,桑海风,刘畔畔,张丽军.非奇异H-矩阵的细分迭代判定[J].吉林大学学报(理学版),2017,55(5):1101-1106. |
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| 作者姓名： | 李敏 桑海风 刘畔畔 张丽军 |
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| 作者单位： | 北华大学 数学与统计学院, 吉林 吉林 132013 |
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| 摘 要： | 利用α-对角占优矩阵理论对矩阵的行指标集进行细分,通过构造递进迭代系数构造正对角矩阵,给出广义严格α-对角占优矩阵的判定条件,得到了非奇异H-矩阵的细分迭代判定准则.数值实例表明,所给判定准则有效.
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| 关 键 词： | 非奇异H-矩阵 -对角占优矩阵 判定准则 &alpha |
| 收稿时间： | 2016-09-28 |
Subdivided Iterative Criteria for Nonsingular H-Matrices |
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| LI Min,SANG Haifeng,LIU Panpan,ZHANG Lijun.Subdivided Iterative Criteria for Nonsingular H-Matrices[J].Journal of Jilin University: Sci Ed,2017,55(5):1101-1106. |
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| Authors: | LI Min SANG Haifeng LIU Panpan ZHANG Lijun |
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| Institution: | College of Mathematics and Statistics, Beihua University, Jilin 132013, Jilin Province, China |
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| Abstract: | Some subdivided line index sets of the matrix were given by using the theory of α-diagonally dominant matrices. A positive diagonal matrix was constructed by constructing iterative coefficients. Some determination conditions of generalized strictly α-diagonally dominant matrices were given, and some subdivided iterative criteria for nonsingular H matrices were obtained. Numerical examples show that the given criteria are effective. |
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| Keywords: | nonsingular H matrix α diagonally dominant matrix criteria |
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