| 正矩阵最大特征值界的新估计 |
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| 引用本文： | 田朝薇,宋海洲. 正矩阵最大特征值界的新估计[J]. 华侨大学学报(自然科学版), 2009, 30(2) |
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| 作者姓名： | 田朝薇 宋海洲 |
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| 作者单位： | 华侨大学,数学科学学院,福建,泉州,362021;华侨大学,数学科学学院,福建,泉州,362021 |
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| 摘 要： | 利用Frobenius定理、相似变换及一些不等式技巧,得到正矩阵谱半径的新上、下界.结果表明,新上界比Ostrowski定理的上界更优;在某些条件下,新上界优于Brauer定理的上界.最后,用实例证明结果.
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| 关 键 词： | 正矩阵 特征值 新估计 界 谱半径 |
New Estimation for the Bounds of the Greatest Characteristic Root of a Positive Matrix |
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| TIAN Zhao-wei,SONG Hai-zhou. New Estimation for the Bounds of the Greatest Characteristic Root of a Positive Matrix[J]. Journal of Huaqiao University(Natural Science), 2009, 30(2) |
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| Authors: | TIAN Zhao-wei SONG Hai-zhou |
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| Affiliation: | School of Mathematics Sciences;Huaqiao University;Quanzhou 362021;China |
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| Abstract: | In this paper,we obtain new bounds for the greatest eigenvalues of a positive matrix by using Frobenius theorem,similarity transformation and the skill of inequation.The new upper bound is sharper than the upper bound in Ostrowski theorem.And in certain condition,the new upper bound is better than Brauer's.Some examples are given to show that the new estimation method is effective. |
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| Keywords: | positive matrix eigenvalue bounds new estimation spectral radius |
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