| M-矩阵与其逆矩阵的Hadamard积最小特征值的新下界 |
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| 引用本文： | 刘新,杨晓英.M-矩阵与其逆矩阵的Hadamard积最小特征值的新下界[J].四川理工学院学报(自然科学版),2012(2):84-87. |
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| 作者姓名： | 刘新 杨晓英 |
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| 作者单位： | 四川信息职业技术学院基础教育部 |
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| 摘 要： | 关于M-矩阵与其逆矩阵的Hadamard积A。A-1,给出A。A-1的最小特征值下界的一些新的估计式,新下界估计式只依赖于矩阵的元素,易于计算。算例表明,新估计式有效地改进了Fiedler和Markham的猜想,也改进了其它已有的结果。
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| 关 键 词： | Hadamard积 M-矩阵 最小特征值 逆矩阵 下界 |
New Lower Bounds for the Minimum Eigenvalue of the Hadamard Product of the M-matrix and Its Inverse Matrix |
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| LIU Xin,YANG Xiao-ying.New Lower Bounds for the Minimum Eigenvalue of the Hadamard Product of the M-matrix and Its Inverse Matrix[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,2012(2):84-87. |
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| Authors: | LIU Xin YANG Xiao-ying |
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| Institution: | (Ministry of Basic Education,Sichuan Information Technology College,Guangyuan 628017,China) |
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| Abstract: | For the Hadamard product A。A-1 of an M-matrix and its inverse matrix,some new lower bounds for the minimum eigenvalue of A。A-1 are given.The new estimating formulas of the lower bounds which only depend on the entries of M-matrix are easier to calculate.Numerical example shows that the new estimating formulas improve the Conjecture of Fiedler and Markham effectively,and also improve the other results in the literature. |
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| Keywords: | Hadamard product M-matrix minimum eigenvalue inverse matrix lower bounds |
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