| 非负矩阵Perron根的下界序列 |
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| 引用本文： | 胥兰.非负矩阵Perron根的下界序列[J].淮南工业学院学报,2009(2):70-72. |
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| 作者姓名： | 胥兰 |
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| 作者单位： | 中北大学数学系,山西太原030051 |
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| 摘 要： | 为了得到非负矩阵Perron根界的估计,通过引入幂函数对Yu.A.Alpin不等式进行改进,得到一列单调递增且收敛于Perron根的下界序列,并利用非负不可约矩阵的性质,研究了一类特殊非负矩阵的下界序列。最后通过数值实例对新的估计方法进行验证,结果优于文献3-5]中的结论。
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| 关 键 词： | 非负矩阵 Perron根 下界序列 |
Lower Bounds Sequence of Nonnegative Matrix Perron roots |
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| XU Lan.Lower Bounds Sequence of Nonnegative Matrix Perron roots[J].Journal of Huainan Institute of Technology(Natural Science),2009(2):70-72. |
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| Authors: | XU Lan |
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| Affiliation: | XU Lan (Department of Mathematics, North University of China, Taiyuan Shanxi 030051, China) |
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| Abstract: | In order to get bounds estimation of nonnegative matrix Perron roots, by utilizing power function to improve inequalities of Yu. A. Alpin, a monotone increasing sequence of lower bounds was obtained. By using property of nonnegative irreducible matrix, a special kind of nonnegative matrix was studied. The new estimation method was tested by numerical examples, and the results showed that it＇s better than the known ones. |
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| Keywords: | nonnegative matrices Perron roots sequence of lower bounds |
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