| 拟对角占优矩阵与非奇异M-矩阵的判定 |
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| 引用本文： | 李耀堂,刘庆兵. 拟对角占优矩阵与非奇异M-矩阵的判定[J]. 广西科学, 2002, 9(4): 256-258 |
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| 作者姓名： | 李耀堂 刘庆兵 |
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| 作者单位： | 云南大学数学系,云南昆明,650091 |
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| 基金项目： | 云南省自然科学基金资助项目 (2 0 0 0 A0 0 0 1-1M)，云南省教育厅科研基金资助项目 (991112 6) |
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| 摘 要： | 利用矩阵回路给出拟对角上优矩阵与非奇异M-矩阵的判定条件，改进和推广相关文献的结果。
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| 关 键 词： | 拟对角占优矩阵 非奇异M－矩阵 矩阵回路 判定条件 G－函数 |
| 收稿时间： | 2001-11-26 |
| 修稿时间： | 2001-11-26 |
Criteria for Quasi-diagonally Dominant Matrices and Nonsingular M-Matrices |
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| Li Yaotang and Liu Qingbing. Criteria for Quasi-diagonally Dominant Matrices and Nonsingular M-Matrices[J]. Guangxi Sciences, 2002, 9(4): 256-258 |
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| Authors: | Li Yaotang and Liu Qingbing |
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| Affiliation: | Dept. of Math., Yunnan University, Kunming, Yunnan, 650091, China and Dept. of Math., Yunnan University, Kunming, Yunnan, 650091, China |
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| Abstract: | Some sufficient conditions for a matrix to be a quasi diagonally dominant matrix and some criteria for a matrix to be a nonsingular M matrix are obtained.The known results in the relevant reference were improved and generalized by these results. |
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| Keywords: | quasi diagonally dominant matrix nonsingular M matrix matrices circuit |
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