非负矩阵Hadamard积谱半径的上界

Upper Bound on the Spectral Radius of the Hadamard Product of Nonnegative Matrices

设矩阵A与B是非负矩阵,给出A与B的Hadamard积A°B谱半径ρ(A°B)上界的新估计式。新估计式只与矩阵的元素有关,易于计算。理论分析和数值算例也说明所得估计式改进了现有的一些结果。

Let A and B be nonnegative matrices, a new upper bound on the spectral radius ρ（A°B） of nonnegative matri-ces A and B is obtained. The new estimating formula is easy to calculate since it only depends on the entries of matrices.Theoretical analysis and numerical example show that the new bound improves several existing results.