非负不可约矩阵Hadamard积的特征值上界

New Bound on the Eigenvalue of the Hadamard Product of Nonnegative Irreducible Matrices

本文利用Hadamard幂,特征值包含域定理,Cauchy-Schwitz不等式,给出了非负不可约矩阵A,B的Hadamard积的特征值上界的新估计式.数值算例表明,该估计式是有效的,因此该结果是对相关文献的有益补充.

A new upper bound on the maximum eigenvalue for the Hadamard product of two nonnegative irreducible matricesis given by Hadamard power, the characteristic value containing the domain theorem, and Cauchy-Schwitz inequality. Numericalexamples show that the estimation formula is valid so that the result isa useful supplement to the relevant literature.