A SUFFICIENT CONDITION FOR THE CONVERGENCE OF KUHN'S ZERO-FINDING ALGORITHM

Kuhn’s zero-finding algorithm for polynomials with form p(Z)=Z~n-aZ+...+ahas been practically used to compute zeroes of transcendental functions in the complex plane. This letter presents a sufficient condition for the convergence of Kuhn’s zero-finding algorithm, from which we obtain a result on zero distribution of a class of continuous functions.