Analysis of the distribution of roots of a polynomial using a generalized Routh scheme

We study the problem of determining the numerical characteristics of the distribution of the set of roots of a polynomial. The complete solution of this problem is achieved by applying a generalized Routh scheme, proposed previously for computing the Cauchy indices and the greatest common divisor of polynomials. Translated fromDinamicheskie Sistemy, No. 13, 1994, pp. 107–118.