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| 非奇H矩阵判别条件的推广 | |
| 引用本文： | 冉瑞生,杨鹏,黄廷祝. 非奇H矩阵判别条件的推广[J]. 电子科技大学学报(社会科学版), 2004, 0(1) |
| 作者姓名： | 冉瑞生 杨鹏 黄廷祝 |
| 作者单位： | 电子科技大学应用数学学院 成都610054(冉瑞生，杨鹏)，电子科技大学应用数学学院 成都610054(黄廷祝) |
| 基金项目： | 四川省跨世纪杰出青年科技学术带头人基金资助项目(JSA1081) |
| 摘 要： | 应用不可约矩阵的特性研究非奇H矩阵,得到了不可约矩阵是非奇H矩阵的实用判据。利用具非零元素链矩阵的性质得到其为非奇H矩阵的实用判据。所得结果不要求矩阵的对角占优条件,适用范围广,可作为非奇H矩阵的实用充分条件。 |
| 关 键 词： | 不可约 非零元素链 对角占优 非奇H矩阵 |
Generalization of Criteria for Nonsingular H-Matrices |
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| Ran Ruisheng,Yang Peng,Huang Tingzhu. Generalization of Criteria for Nonsingular H-Matrices[J]. Journal of University of Electronic Science and Technology of China(Social Sciences Edition), 2004, 0(1) | |
| Authors: | Ran Ruisheng Yang Peng Huang Tingzhu |
| Abstract: | In this paper, we first apply properties of irreducible matrices to study nonsingular H-matrices, then conditions for irreducible matrices to be nonsingular H-matrices are obtained. Applying the properties of non-zero elements chain matrices, conditions for them to be nonsingular H-matrices are also obtained. Results obtained do not require that matrices should be diagonal dominant, and are applicable to more matrices. These results are sufficient conditions of nonsingular H-matrices. |
| Keywords: | irreducibility non-zero elements chain diagonal dominance nonsingular H-matrix |
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