| 逆N_0-矩阵的等价判定与构造 |
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| 引用本文： | 赵建中,袁国军.逆N_0-矩阵的等价判定与构造[J].安徽大学学报(自然科学版),2009,33(4). |
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| 作者姓名： | 赵建中 袁国军 |
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| 作者单位： | 皖西学院,数理系,安徽,六安,237012 |
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| 基金项目： | 安徽省教育厅自然科学基金资助项目(KJ2007B181);;安徽省高校青年教师科研计划资助项目(2007JQL177) |
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| 摘 要： | 论文给出了逆N0-矩阵的若干等价判定以及N0-矩阵的一些不等式、置换结构等,同时利用非负矩阵特征值理论,给出了一个构造高阶逆N0-矩阵的方法,此方法体现了逆N0-矩阵与谱半径及特征向量之间的结构关系.
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| 关 键 词： | Z-矩阵 N0-矩阵 逆N0-矩阵 非负矩阵 M-矩阵 |
The equivalent criteria and new constructing method on inverse N_0-matrices |
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| ZHAO Jian-zhong,YUAN Guo-jun.The equivalent criteria and new constructing method on inverse N_0-matrices[J].Journal of Anhui University(Natural Sciences),2009,33(4). |
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| Authors: | ZHAO Jian-zhong YUAN Guo-jun |
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| Institution: | Department of Mathematics and Physics;West Anhui University;Lu'an 237012;China |
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| Abstract: | In the paper,some equivalent criteria and inequality on inverse N0-matrix were studied,permutation structure on N0 matrices was given.A new constructing method was given by non-negative matrix eigenvalue theory.It incarnated the relation of structures among inverse N0-matrix,spectral radius and eigenvector. |
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| Keywords: | Z-matrix N0-matrix inverse N0-matrix nonnegative-matrix M-matrix |
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