矩阵Hadamard积谱半径的新上界

New Upper Bounds on the Spectral Radius for the Hadamard Product of Matrices

对于两个非负矩阵A和B的Hadamard积,利用特征值包含域定理给出谱半径的新上界估计式.数值例子表明新估计式在某些情况下比现有的估计式更为精确,并且这些估计式只依赖于两个非负矩阵的元素,更容易计算.

For the Hadamard product of two nonnegative matrices A and B,new upper bounds of the spectral radius have been given on the basis of the characteristic value containing domain theorems.The given numerical example show that these estimating formulas improve several existing results in some cases,and these bounds are easier calculate for they are only depending on the entries of nonnegative matrices.