| 非负矩阵Perron根上界序列(英文) |
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| 引用本文： | 胡刚,荆燕飞.非负矩阵Perron根上界序列(英文)[J].大学数学,2010,26(1). |
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| 作者姓名： | 胡刚 荆燕飞 |
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| 作者单位： | 1. 山西师范大学数学与计算机科学学院,临汾,041004
2. 电子科技大学应用数学学院,成都,610054 |
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| 摘 要： | 给出了非负矩阵Perron根的一系列优化上界,即通过相似对角变换与Gerschgorin定理较好的估计了Perron根的上界,并且通过例子来说明这种方法的有效性.
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| 关 键 词： | 非负矩阵 Perron根 对角变换 |
A Series of Upper Bounds for the Perron Root of a Nonnegative Matrix |
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| HU Gang,JING Yan-fei.A Series of Upper Bounds for the Perron Root of a Nonnegative Matrix[J].College Mathematics,2010,26(1). |
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| Authors: | HU Gang JING Yan-fei |
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| Institution: | 1.School of Mathematics and Computer Science;Shanxi Normal University;Linfen 041004;China;2.School of Appl.Math.;University of Electronic Science and Technology of China;Chengdu 610054;China |
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| Abstract: | This paper proposes a series of improved upper bounds for Perron roots of nonegative matrices.Better estimates of the Perron root have been given by both diagonal transformation method and the extension of Gerschgorin Theory.Numerical experiment has been shown the effectiveness of our method. |
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| Keywords: | nonnegative matrices Perron roots diagonal transformation method |
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