何建锋, 李耀堂. 矩阵Hadamard积和Fan积的特征值界的改进[J]. 云南大学学报(自然科学版), 2018, 40(1): 22-28. doi: 10.7540/j.ynu.20170394
引用本文: 何建锋, 李耀堂. 矩阵Hadamard积和Fan积的特征值界的改进[J]. 云南大学学报(自然科学版), 2018, 40(1): 22-28. doi: 10.7540/j.ynu.20170394
HE Jian-feng, LI Yao-tang. A modification on eigenvalue’s bounds of the Hadamard product and Fan product of matrices[J]. Journal of Yunnan University: Natural Sciences Edition, 2018, 40(1): 22-28. DOI: 10.7540/j.ynu.20170394
Citation: HE Jian-feng, LI Yao-tang. A modification on eigenvalue’s bounds of the Hadamard product and Fan product of matrices[J]. Journal of Yunnan University: Natural Sciences Edition, 2018, 40(1): 22-28. DOI: 10.7540/j.ynu.20170394

矩阵Hadamard积和Fan积的特征值界的改进

A modification on eigenvalue’s bounds of the Hadamard product and Fan product of matrices

  • 摘要: 给出非负矩阵Hadamard积谱半径只涉及矩阵元素的上界计算公式和M-矩阵Fan积最小特征值只涉及矩阵元素的下界计算公式.数值例子表明,这些估计式在一定条件下改进了现有的一些结果.

     

    Abstract: A new upper bound involving only the matrices elements on the spectral radius for the Hadamard product of two nonnegative matrices and a new lower bound involving only the matrices elements on the minimum eigenvalue for the Fan product of two M-matrices are given.Numerical examples show that the new formulas improve some existing ones in some cases.

     

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