| M-矩阵与其逆矩阵的Hadamard积特征值的新下界 |
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| 引用本文： | 高美平.M-矩阵与其逆矩阵的Hadamard积特征值的新下界[J].云南民族大学学报(自然科学版),2014,23(5):346-349. |
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| 作者姓名： | 高美平 |
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| 作者单位： | 文山学院数学学院,云南文山,663000 |
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| 基金项目： | 云南省教育厅科学研究基金，文山学院重点学科建设项目 |
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| 摘 要： | 对M-矩阵与其逆的Hadamard积特征值的下界进行了研究.首先给出了A°A-1最小特征值的两个新下界.其次证明了所得的结果比现有的某些结果更加接近于A·A-1的最小特征值.最后用数值算例验证了所得结果是有效的.
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| 关 键 词： | M-矩阵 逆矩阵 Hadamard积 特征值 新下界 |
New lower bounds for the eigenvalue of the Hadamard product of an M-matrix and its inverse |
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| GAO Mei-ping.New lower bounds for the eigenvalue of the Hadamard product of an M-matrix and its inverse[J].Journal of Yunnan Nationalities University:Natural Sciences Edition,2014,23(5):346-349. |
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| Authors: | GAO Mei-ping |
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| Institution: | GAO Mei-ping;School of Mathematics,Wenshan University; |
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| Abstract: | This paper studies the lower bounds for the eigenvalue of the Hadamard product of M- matrix and its inverse. Firstly,it gives two new lower bounds for the minimum eigenvalue of A°A- 1. Secondly,it proves that these new lower bounds are closer to the minimum eigenvalue A·A- 1than some present results. Finally,the numerical example verifies that the results hold water. |
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| Keywords: | M-matrix inverse matrix Hadamard product eigenvalue new lower bound |
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