We apply numerical radius and spectral radius estimates to the Frobenius companion matrices of monic polynomials to derive new bounds for their zeros and give different proofs of some known bounds.
"Estimates for the numerical radius and the spectral radius of the Frobenius companion matrix and bounds for the zeros of polynomials." Ann. Funct. Anal. 5 (1) 56 - 62, 2014. https://doi.org/10.15352/afa/1391614569