| 矩阵的Hadamard积与Fan积的特征值的界 |
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| 引用本文： | 李静,周光.矩阵的Hadamard积与Fan积的特征值的界[J].汕头大学学报(自然科学版),2013(4):1-5,18. |
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| 作者姓名： | 李静 周光 |
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| 作者单位： | 电子科技大学数学科学学院,四川成都611731 |
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| 摘 要： | 本文利用了Cassini卵形域,给出了非负矩阵Hadamard积的最大特征值的上界、M-矩阵Fan积的最小特征值的下界以及M-矩阵与其逆矩阵Hadamard积最小特征值的下界.理论分析表明本文获得的结果比相应文献中的结果更精确.
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| 关 键 词： | 非负矩阵 M-矩阵 Hadamard积 Fan积 最大特征值 最小特征值. |
Bounds for Eigenvalues of the Hadamard Product and Fan Product of Matrices |
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| LI jing,ZHOU Guang.Bounds for Eigenvalues of the Hadamard Product and Fan Product of Matrices[J].Journal of Shantou University(Natural Science Edition),2013(4):1-5,18. |
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| Authors: | LI jing ZHOU Guang |
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| Institution: | (Sehool of Mathematics Science, University of Electronic Science and Technology of China, Chengdu 611731, Siehuan, China) |
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| Abstract: | A new upper bound on the spectral radius is obtained by using Cassini oval. Meanwhile, a new lower bound on the smallest eigenvalue for the Fan product and a new lower bound on the minimum eigenvalue for the Hadamard product of two nonsingular matrices are given. Theoretically, these results are more accurate than the results in the literature. |
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| Keywords: | nonnegative matrix matrix Hadamard product Fan product largesteigenvalue minimum eigenvalue |
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