| 矩阵Fan积和Hadamard积的特征值界的新估计 |
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| 引用本文： | 陈付彬,禹旺勋.矩阵Fan积和Hadamard积的特征值界的新估计[J].河南科学,2014,32(7):1156-1159. |
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| 作者姓名： | 陈付彬 禹旺勋 |
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| 作者单位： | 昆明理工大学津桥学院工学系,昆明,650106 |
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| 基金项目： | 云南省教育厅科学研究基金资助项目 |
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| 摘 要： | 给出非奇异M-矩阵A和B的Fan积AB的最小特征值下界和非负矩阵A和B的Hadamard积A·B的谱半径上界的新估计式,这些估计式都只依赖于矩阵的元素.数值例子表明,新估计式在一定条件下改进了现有的结果.
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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 |
New Bounds on Eigenvalue of the Fan Product and the Hadamard Product of Matrices |
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| Chen Fubin,Yu Wangxun.New Bounds on Eigenvalue of the Fan Product and the Hadamard Product of Matrices[J].Henan Science,2014,32(7):1156-1159. |
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| Authors: | Chen Fubin Yu Wangxun |
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| Institution: | (Department of Engineering, Oxbridge College, Kunming University of Science and Technology, Kunming 650106, China) |
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| Abstract: | A new lower bound on the minimum eigenvalue for the Fan product A· B of two nonsingular M- matrices A and B and a new upper bound on the spectral radius for the Hadamard product AoB of two nonnecgative matrices A and B are given. The estimating formulas of the bounds only depend on the entries of matrices. Numerical example shows that the new estimating formula improves some existing ones in some cases. |
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| Keywords: | nonnegative matrix M-matrix Hadamard product Fan product spectral radius minimum eigenvalue |
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