| M-矩阵与M-矩阵的逆的Hadamard积的最小特征值下界的估计 |
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| 引用本文： | 周平,赵慧. M-矩阵与M-矩阵的逆的Hadamard积的最小特征值下界的估计[J]. 四川理工学院学报(自然科学版), 2011, 0(6): 729-732 |
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| 作者姓名： | 周平 赵慧 |
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| 作者单位： | 云南大学数学与统计学院 |
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| 摘 要： | 给出了非奇异M-矩阵A的逆矩阵与非奇异M-矩阵B的Hadamard积的最小特征值下界的估计式,该估计式只依赖于矩阵A与B的元素,易于计算,算例表明,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： | M-矩阵 Hadamard积 最小特征值 下界 对角占优 |
Bounds on the Minimum Eigenvalues of the Hadamard Product of an M-matrice and Its Inverse |
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| ZHOU Ping,ZHAO Hui. Bounds on the Minimum Eigenvalues of the Hadamard Product of an M-matrice and Its Inverse[J]. Journal of Sichuan University of Science & Engineering(Natural Science Editton), 2011, 0(6): 729-732 |
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| Authors: | ZHOU Ping ZHAO Hui |
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| Affiliation: | (School of Mathematics and Statistics,Yunnan University,Kunming 650091,China) |
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| Abstract: | A new lower bound of the minimum eigenvalues of Hadamard product for inverse A-1 of nonsingular M-matrix A and nonsingular M-matrix B is given.This estimating formula of the bounds are easier to calculate since they only depend on the entries of matrices A and B.The given numerical example show that estimating formula of the bounds is better than several known estimating formulas. |
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| Keywords: | M-matrix Hadamard product smallest eigenvalue lower bound diagonally dominant |
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