Bounds for the spectral radius of Schur product of matrices

Abstract

Abstract We establish a new upper bound on the spectral radius for the Schur product of two matrices with nonnegative elements by utilizing the eigenvalue inclusion theorem. The new bound is more useful in practical applications because it is simply based on the elements of two matrices. Additionally, a numerical example is taken into account to show that, in some circumstances, the result achieved is superior to some previously reported results.