Modified Ansell's method and testing of very strict Hurwitz polynomials

Abstract

A new modification to the Ansell's Hermite matrix method for the testing of very strict Hurwitz polynomials is presented. In this modification, the testing at infinite distant points is carried out as an integral part of the testing of the determinant of the Hermite matrix. Hence, the additional 1-D tests required to determine the behavior of the polynomial at infinite distant points are eliminated.