| 非负矩阵谱半径与M矩阵最小特征值的估计 |
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| 引用本文： | 吕洪斌,杜宇辉,何甲兴.非负矩阵谱半径与M矩阵最小特征值的估计[J].吉林大学学报(理学版),2005,43(4):431-435. |
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| 作者姓名： | 吕洪斌 杜宇辉 何甲兴 |
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| 作者单位： | 1. 吉林大学数学研究所, 长春 130012; 2. 北华大学数学系, 吉林省 吉林 132033 |
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| 摘 要： | 利用矩阵的有向图及有向图的1-path覆盖， 给出非负矩阵的谱半径与M矩阵最小特征 值上下界的若干新估计, 改进了已有的相应结果.
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| 关 键 词： | 非负矩阵 M矩阵 谱半径 特征值 |
| 文章编号： | 1671-5489(2005)04-0431-05 |
| 收稿时间： | 2004-11-30 |
| 修稿时间： | 2004年11月30 |
Estimate for the Spectral Radius of a Nonnegative Matrices and the Least Eigenvalue of a M-matrices |
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| Lü Hong-bin,DU Yu-hui,HE Jia-xing.Estimate for the Spectral Radius of a Nonnegative Matrices and the Least Eigenvalue of a M-matrices[J].Journal of Jilin University: Sci Ed,2005,43(4):431-435. |
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| Authors: | Lü Hong-bin DU Yu-hui HE Jia-xing |
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| Institution: | 1. Institute of Mathematics, Jilin University, Changchun 130012, China; 2. Department of Mathematics, Beihua University, Jilin 132033, Jilin Province, China |
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| Abstract: | With the help of the directed graph and 1-path cover of directed graph,we gave some new bounds for the spectral radius of a nonnegative matrices and the least eigenvalue of a M-matrices, so as to improve the known corresponding (results). |
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| Keywords: | nonnegative matrices M-matrices spectral radius eigenvalue |
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