Finding roots of polynomials by using the Routh array
A robust method for finding the roots of polynomials using the Routh array is given. Certain multipoint approximation properties of the array are clarified, which enable a simple criterion to be used in the root-finding algorithm. A bisection-type iteration guarantees convergence to the roots.
Lucas, T.N. 1996. Finding roots of polynomials by using the Routh array. Electronics Letters. 32(16): pp.1519-1521. Available from http://dx.doi.org/10.1049/el:19960980