| 逆M-矩阵的一些性质及应用 |
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| 引用本文： | 杨中原,傅英定,黄廷祝. 逆M-矩阵的一些性质及应用[J]. 电子科技大学学报(社会科学版), 2005, 0(5) |
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| 作者姓名： | 杨中原 傅英定 黄廷祝 |
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| 作者单位： | 电子科技大学应用数学学院 成都610054(杨中原，傅英定)，电子科技大学应用数学学院 成都610054(黄廷祝) |
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| 摘 要： | 通过对逆M-矩阵的研究,分别得到了三对角矩阵、正矩阵的逆M-矩阵的一些性质,该性质,给出了逆M-矩阵可约的充分必要条件,得到了逆M-矩阵的一个判定定理。最后,讨论了逆M-矩阵Hadamard积的封闭性,得出了一类矩阵关于Hadamard积是封闭的。
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| 关 键 词： | 逆M-矩阵 三对角矩阵 Hadamard积 可约矩阵 正矩阵 |
Some Properties of Inverse M-Matrices and Their Applications |
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| YANG Zhong-yuan,FU Ying-ding,HUANG Ting-zhu. Some Properties of Inverse M-Matrices and Their Applications[J]. Journal of University of Electronic Science and Technology of China(Social Sciences Edition), 2005, 0(5) |
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| Authors: | YANG Zhong-yuan FU Ying-ding HUANG Ting-zhu |
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| Abstract: | In this paper, some new properties of tridiagonally dominant and positive Inverse M-matrices are presented, respectively. Based on these properties, sufficient and necessary conditions of reducible inverse M-matrices and general inverse M-matrices are derived; Finally, a class of inverse M-matrices that is closed under the Hadamard multiplication is also obtained. |
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| Keywords: | inverse M-matrix tridiagonal matrix hadamard product reducible matrix positive matrix |
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