| 矩阵Hadamard积和Fan积的特征值界的估计 |
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| 引用本文： | 李艳艳,李耀堂.矩阵Hadamard积和Fan积的特征值界的估计[J].云南大学学报(自然科学版),2010,32(2):125-129. |
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| 作者姓名： | 李艳艳 李耀堂 |
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| 作者单位： | 云南大学数学与统计学院, 云南昆明 650091 |
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| 摘 要： | 给出非负矩阵A与B的Hadamard积AB的谱半径上界的一个新估计式和非奇异M-矩阵A和B的Fan积A*B的最小特征值下界的一个新估计式,这2估计式只依赖于矩阵A与B的元素,易于计算.例证表明,所得估计式在一定条件下比现有估计式更为精确.
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| 关 键 词： | 非负矩阵 M-矩阵 Hadamard积 Fan积 谱半径 最小特征值 |
| 收稿时间： | 2009-7-2 |
Bounds on eigenvalues of the Hadamard product and the Fan product of matrices |
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| LI Yan-yan,LI Yao-tang.Bounds on eigenvalues of the Hadamard product and the Fan product of matrices[J].Journal of Yunnan University(Natural Sciences),2010,32(2):125-129. |
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| Authors: | LI Yan-yan LI Yao-tang |
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| Institution: | School of Mathematics and Statistics, Yunnan University, Kunming 650091, China |
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| Abstract: | A new upper bound of the spectral radius of Hadamard product for nonnegative matrices,and a new lower bound of the minimum eigenvalue of Fan product for nonsingular M-matrices,are given.The estimating formulas of the bounds are easier to calculate since they only depend on the entries of matrices Aand B.The given numerical examples show that estimating formulas of the bounds are better than several known estimating formulas. |
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