In this paper, we exhibit two new upper bounds on spectral radius of the Hadamard product of nonnegative matrices. These bounds are improvements of many existing results. Calculation of these derived formulae is comparatively easy, because these formulae depend on the entries of matrices. These new bounds are obtained using the concept of Gershgorin disc and a famous result of Varga on the minimal Gershgorin set. We also give some numerical examples to justify our findings.

Hadamard product, nonnegative matrix, spectral radius, irreducible matrix.