| 非奇异H-矩阵的迭代判定 |
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| 引用本文： | 李敏,桑海风,龚言,刘畔畔,王美娟.非奇异H-矩阵的迭代判定[J].吉林大学学报(理学版),2022,60(3):597-603. |
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| 作者姓名： | 李敏 桑海风 龚言 刘畔畔 王美娟 |
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| 作者单位： | 1. 北华大学 数学与统计学院, 吉林 吉林 132013; 2. 吉林大学 数学学院, 长春 130012 |
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| 摘 要： | 首先, 根据α-对角占优矩阵理论, 对矩阵的行指标集进行恰当划分; 其次, 通过选择递进迭代系数构造正对角矩阵, 从而给出广义严格α-对角占优矩阵的判定条件, 进而得到非奇异H-矩阵的判定准则. 数值算例结果表明, 该判定准则有效.
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| 关 键 词： | 对角占优矩阵 α-对角占优矩阵 非奇异H-矩阵 |
| 收稿时间： | 2021-09-16 |
Iterative Criteria for Nonsingular H-Matrices |
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| LI Min,SANG Haifeng,GONG Yan,LIU Panpan,WANG Meijuan.Iterative Criteria for Nonsingular H-Matrices[J].Journal of Jilin University: Sci Ed,2022,60(3):597-603. |
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| Authors: | LI Min SANG Haifeng GONG Yan LIU Panpan WANG Meijuan |
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| Institution: | 1. College of Mathematics and Statistics, Beihua University, Jilin 132013, Jilin Province, China;
2. College of Mathematics, Jilin University, Changchun 130012, China
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| Abstract: | Firstly, we properly divided the row index sets of the matrix by utilizing the theory of α-diagonally dominant matrices. Secondly, by selecting the progressive coefficients to construct the positive diagonal matrix, we gave some determination conditions of generalized strictly α-diagonally dominant matrices, and then some determination criteria for nonsingular H-matrices were obtained. A numerical example shows that these determination criteria are effective. |
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| Keywords: | diagonally dominant matrix α-diagonally dominant matrix nonsingular H-matrix |
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