| 有关非负矩阵谱半径及分离度界的估计 |
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| 引用本文： | 谈雪媛. 有关非负矩阵谱半径及分离度界的估计[J]. 南京师大学报(自然科学版), 2004, 27(1): 24-27 |
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| 作者姓名： | 谈雪媛 |
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| 作者单位： | 南京师范大学数学与计算机科学学院,210097,南京 |
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| 摘 要： | 给出了非负矩阵谱半径上下界的一个估计，并将我们的结果与以往的结论做比较；在推论部分给出了非奇异M矩阵之逆的谱半径的界的估计以及任意复矩阵谱半径的一个上界的估计．另外，我们还给出了非负矩阵分离度的上界估计．
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| 关 键 词： | 非负矩阵 M矩阵 谱半径 分离度 |
| 文章编号： | 1001-4616(2004)01-0024-04 |
| 修稿时间： | 2003-10-11 |
Bounds on the Spectral Radius and the Spread of Nonnegative Matrix |
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| Tan Xueyuan. Bounds on the Spectral Radius and the Spread of Nonnegative Matrix[J]. Journal of Nanjing Normal University(Natural Science Edition), 2004, 27(1): 24-27 |
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| Authors: | Tan Xueyuan |
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| Abstract: | In this paper, we give an estimate of the upper and lower bounds on the spectral radius of a nonnegative matrix and compare the bounds with related those in other literatures. Moreover, we give the bounds for the inverse of a nonsingular M-matrix and the upper bound for an arbitary complex matrix. In the addition, we give an upper bound for the spread of a nonnegative matrix. |
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| Keywords: | Nonnegative matrix M-matrix spectral radius spread of a matrix |
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