| 非负矩阵Perron根的上界序列 |
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| 引用本文： | 胥兰,黄廷祝.非负矩阵Perron根的上界序列[J].高等学校计算数学学报,2007,29(4):297-302. |
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| 作者姓名： | 胥兰 黄廷祝 |
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| 作者单位： | 1. 中北大学数学系,太原,030051
2. 电子科技大学应用数学学院,成都,610054 |
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| 基金项目： | 教育部“新世纪优秀人才支持计划”资助 |
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| 摘 要： | 1引言本文讨论非负矩阵Perron根的上界。设
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| 关 键 词： | Perron根 非负矩阵 上界 序列 估计式 矩阵A 谱半径 正矩阵 |
| 收稿时间： | 2005-06-28 |
| 修稿时间： | 2005年6月28日 |
UPPER BOUNDS SEQUENCES FOR THE PERRON ROOT OF NONNEGATIVE MATRICES |
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| Xu Lan,Huang Tingzhu.UPPER BOUNDS SEQUENCES FOR THE PERRON ROOT OF NONNEGATIVE MATRICES[J].Numerical Mathematics A Journal of Chinese Universities,2007,29(4):297-302. |
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| Authors: | Xu Lan Huang Tingzhu |
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| Abstract: | Utilizing two very well known inequalities, we present a sequence of progressively better upper bounds for the Perron root of a nonnegative matrix. Each element in the sequence is a function of the Perron root of the arithmetic symmetrization of a power of matrix. The results are better than one obtained by utilizing the theorem of A. Brauer. |
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| Keywords: | nonnegative matrix Perron root upper bound |
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