| 矩阵Hadamard积和Fan积特征值界的不等式 |
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| 引用本文： | 李华.矩阵Hadamard积和Fan积特征值界的不等式[J].青岛科技大学学报,2013(3):325-328. |
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| 作者姓名： | 李华 |
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| 作者单位： | 河南城建学院数理系 |
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| 基金项目： | 河南省科技计划项目(112400450212);河南省教育厅自然科学研究项目(2011A110002) |
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| 摘 要： | 给出两个非负矩阵Hadamard积谱半径上界的一个新估计式和两个非奇异M矩阵的Fan积的最小特征值下界的新估计,估计式依赖矩阵的元素,易于计算。并通过具体例子加以比较,表明所得的结果在一定条件下更为精确。
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| 关 键 词： | 非负矩阵 Hadamard积 谱半径 M矩阵 Fan积 最小特征值 |
Some Inequalities for the Hadamard Product and the Fan Product of Matrices |
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| LI Hua.Some Inequalities for the Hadamard Product and the Fan Product of Matrices[J].Journal of Qingdao University of Science and Technology:Natutral Science Edition,2013(3):325-328. |
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| Authors: | LI Hua |
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| Affiliation: | LI Hua(Department of Mathematics and Physics,Henan University of Urban Construction,Pingdingshan 467044,China) |
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| Abstract: | A new upper bound of spectral radius of Hadamard product for two nonnegative matrices,and a new lower bound of the minimum eigenvalue of Fan product for two nonsingular M-matrices are given,the estimations are easier to calculate since they only depend on the entries of matrices,Finally,example is given to show that the bounds are better than the prevous results. |
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| Keywords: | nonnegative matrices Hadamard product spectral radius M-matrices Fan product the minimum eigenvalue |
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