Abstract
In this article we study the convex acceleration of Whittaker's iterative method for approximating the roots of a real function of real argument, that is two times di erentiable and has a nonvanishing fi rst order derivative. We prove a semilocal convergence theorem for this method and we give a numerical example which illustrates this theorem.
Cuvinte cheie
convex acceleration of Whittaker's method
one-point iteration method
fi xed point
second order convergence