| 稳定矩阵与完全主正阵 |
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| 引用本文： | 杨益民. 稳定矩阵与完全主正阵[J]. 安徽工程科技学院学报：自然科学版, 2001, 16(3): 16-20 |
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| 作者姓名： | 杨益民 |
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| 作者单位： | 安徽机电学院应用数理系 |
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| 基金项目： | 安徽省教育厅自然科学基金;2000jl003; |
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| 摘 要： | 研究了负稳定矩阵与完全主正阵之间的关系，指出它们的交是两类矩阵集的真子集.得到了稳定矩阵与亚正定阵联系的重要结论和稳定矩阵的一类新的充要条件.还给出了大批属于负稳定矩阵和完全主正阵交集的便于应用的矩阵类.
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| 关 键 词： | 稳定矩阵 完全主正阵 亚正定矩阵 广义对角占优矩阵 |
| 文章编号： | 1007-5240(2001)03-0016-05 |
| 修稿时间： | 2001-02-09 |
Stable matrices and totally principal positive matrices |
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| YANG Yi min. Stable matrices and totally principal positive matrices[J]. Journal of Anhui University of Technology and Science, 2001, 16(3): 16-20 |
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| Authors: | YANG Yi min |
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| Abstract: | The relations between negatively stable matrices and totally principal positive matrices are studied. Their intersection is a true subset of each of them. The author presents some important conclusions which connects negatively stable matrices and totally principal positive matrices and some new necessary and sufficient conditions that a matrices belongs to the kind of stable matrices. Some kinds of matrices are given, which belongs to the intersection of negatively stable matrices and totally principal positive matrices and can be used conveniently. |
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| Keywords: | stable matrices totally principal positive matrices meta positive definite matrices generalized diagonal dominance matrices |
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