%0 Journal Article %A Jing Li and Guang Zhou %D 2013 %J International Journal of Mathematical and Computational Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 75, 2013 %T Some New Inequalities for Eigenvalues of the Hadamard Product and the Fan Product of Matrices %U https://publications.waset.org/pdf/16985 %V 75 %X Let A and B be nonnegative matrices. A new upper bound on the spectral radius ρ(A◦B) is obtained. Meanwhile, a new lower bound on the smallest eigenvalue q(AB) for the Fan product, and a new lower bound on the minimum eigenvalue q(B ◦A−1) for the Hadamard product of B and A−1 of two nonsingular M-matrices A and B are given. Some results of comparison are also given in theory. To illustrate our results, numerical examples are considered. %P 409 - 413