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
  • 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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