| 非负矩阵Hadamard积的最大特征值的上界 |
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| 引用本文： | 周光,钟守铭. 非负矩阵Hadamard积的最大特征值的上界[J]. 四川工业学院学报, 2014, 0(1): 52-55 |
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| 作者姓名： | 周光 钟守铭 |
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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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| 基金项目： | 国家自然科学基金（61273015）;国家重点基础研究发展计划（2010CB732501） |
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| 摘 要： | 利用了Gerschgorin定理的推广Cassini卵形域，研究了非负矩阵Hadamard积的最大特征值的上界估计问题。在理论上，证明了本文获得的结果比相应的结果更加精确。同时，也通过数值例子说明了这一点。
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| 关 键 词： | 非负矩阵 Hadamard积 最大特征值 |
The Bounds for the Largest Eigenvalues of Hadamard Product of Two Nonnegative Matrices |
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| ZHOU Guang,ZHONG Shou-ming. The Bounds for the Largest Eigenvalues of Hadamard Product of Two Nonnegative Matrices[J]. Journal of Sichuan University of Science and Technology, 2014, 0(1): 52-55 |
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| Authors: | ZHOU Guang ZHONG Shou-ming |
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| Affiliation: | ( School of Mathematics Science, University of Electronic Science and Technology of China, Chengdu 611731 China) |
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| Abstract: | In this paper, the authors study the upper bound of the largest eigenvalue problem of the Hadamard product of nonnega- rive matrix by using Brauer~ Ovals of Cassini. In theory, the result is more accurate than the corresponding result, which is also illus- trated by two numerical examples. |
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| Keywords: | nonnegative matrix Hadamard product largest eigenvalue. |
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