| M-矩阵及非负矩阵Hadamard积和Fan积的特征值界的估计 |
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| 引用本文： | 周平,李耀堂.M-矩阵及非负矩阵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),2012,0(1):9-14,25. |
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| 作者姓名： | 周平 李耀堂 |
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| 作者单位： | 云南大学数学与统计学院 |
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| 基金项目： | 国家自然科学基金资助项目(10961027) |
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| 摘 要： | 分别给出了非奇异M-矩阵的逆矩阵和非奇异M-矩阵的Hadamard积与非奇异M-矩阵Fan积的最小特征值下界新的估计式;同时给出了非负矩阵Hadamard积的谱半径上界新的估计式;这些估计式都只依赖于矩阵的元素,易于计算.算例表明,这些估计式在一定条件下改进了现有结果.
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| 关 键 词： | M-矩阵 非负矩阵 Hadamard积 Fan积 谱半径 最小特征值 |
Estimate of bounds on eigenvalues of the Hadamard product and the Fan product of matrices and nonnegative matrices |
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| ZHOU Ping,LI Yao-tang.Estimate of bounds on eigenvalues of the Hadamard product and the Fan product of matrices and nonnegative matrices[J].Journal of Yunnan University(Natural Sciences),2012,0(1):9-14,25. |
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| Authors: | ZHOU Ping 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 lower bound of the minimum eigenvalues of Hadamard product for inverse A-1of nonsingular M-matrix A and nonsingular M-matrix B,a new lower bound of the smallest eigenvalues of Fan product for nonsingular M-matrices A and B,and a new supper bound of the spectral radius of Hadamard product for nonnegative matrices A and B,are given respectively.These three estimating formulas of the bounds are easier to calculate since they only depend on the entries of matrices A and B.The given examples show that the estimating formulas of the bounds are better than several known estimating formulas. |
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| Keywords: | M-matrix nonnegative matrix Hadamard product Fan product spectral radius smallest eigenvalue |
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