New inequalities on the Hadamard product of nonnegative matrices

Several novel upper bounds for the spectral radius of the Hadamard product of two nonnegative matrices are presented by leveraging spectral radius properties and the Cauchy-Schwarz inequality. The derived bounds incorporate the maximum values of the non-diagonal elements in each row of the nonnegative matrices. Furthermore, concrete examples are presented to illustrate our results are more accurate than existing relevant results.