| 三对角线逆M-矩阵 |
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| 引用本文： | 杨尚骏,范益政. 三对角线逆M-矩阵[J]. 安徽大学学报(自然科学版), 2001, 25(3): 1-6 |
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| 作者姓名： | 杨尚骏 范益政 |
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| 作者单位： | 安徽大学数学系!安徽合肥230039 |
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| 基金项目： | 安徽省教育厅科研项目;030107; |
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| 摘 要： | 研究同时为三对角线矩阵和逆M 矩阵的一类特殊矩阵 ,称之为三对角线逆M 矩阵。用图论的方法探讨三对角线逆M 矩阵的结构 ;并给出三对角线非负矩阵为逆M 矩阵的充分必要条件。最后 ,我们还证明了三对角线逆M 矩阵集关于Hadamard乘积的封闭性
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| 关 键 词： | 三对角线逆M-矩阵 伴随有向图 Hadamard积 |
| 文章编号： | 1000-2162(2001)03-0001-06 |
| 修稿时间： | 2001-04-07 |
Tridiagonal inverse M-matrices |
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| YANG Shang-jun,FAN Yi-zheng. Tridiagonal inverse M-matrices[J]. Journal of Anhui University(Natural Sciences), 2001, 25(3): 1-6 |
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| Authors: | YANG Shang-jun FAN Yi-zheng |
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| Abstract: | In this paper a special matrices, called tridiagonal inverse M-matrices, are investigated. Firstly we use graph method to characterize the structure of tridiagonal inverse M-matrices;secondly we give the necessary and sufficient condition for a matrix to be a tridiagonal inverse M-matrix; finally we prove that the Hadamard product is closed in the set of all n×n tridiagonal inverse M-matrices. |
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| Keywords: | tridiagonal inverse M matrices associated directed graphs Hadamard product |
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