Some new bounds for the Hadamard product and the Fan product of matrices

Qian-Ping Guo, Hou-Biao Li, Jin-Song Leng

If $A$ and $B$ are nonnegative matrices, a sharp upper bound on the spectral radius $\rho (A\circ B)$ for the Hadamard product of two nonnegative matrices is given, and the minimum eig…