| 一类对角占优阵的性质及其应用 |
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| 引用本文： | 李修清.一类对角占优阵的性质及其应用[J].青海师范大学学报(自然科学版),1995(2):12-15. |
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| 作者姓名： | 李修清 |
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| 作者单位： | 青海师专数学系 |
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| 摘 要： | Ｂｕａｌｄｉ曾给出按回路对角占优阵的非奇异性定理，本文在Ｂｒｕａｌｄｉ定理的基础上，讨论了按回路非零边对角占优阵的非奇异性，从而又得到了一个非奇异Ｍ－矩阵的等价判据，改进了文（２）中的结果。
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| 关 键 词： | 有向图 简单回路 不可约矩阵 对角占优阵 矩阵 |
PROPERTY FO A CLASS DIAGONALLY DOMINANT MATRIX AND APPLICATIONS |
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| Li Xiuqing.PROPERTY FO A CLASS DIAGONALLY DOMINANT MATRIX AND APPLICATIONS[J].Journal of Qinghai Normal University(Natural Science Edition),1995(2):12-15. |
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| Authors: | Li Xiuqing |
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| Institution: | Qinghai Teachers College |
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| Abstract: | Brualdi give nonsingular theorem fo diagonally dominant matrix on cycle in1].In this paper We obtain some mew results on Brualdi therem,and improve some of results of the paper2] |
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| Keywords: | directed graph cycle unreduced matrix M-matrix |
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