Abstract
In this paper an iterative formula for the simultaneous determination of solutions of a nonlinear equation f(z)=0 is proposed. The Durand-Kerner method which is one of simultaneous iterative methods uses only function values of f(z) and does not require any higher order derivatives of f(z). Whereas it is applicable for only polynomial equations. Our method is based on the rational interpolation of f(z) on several points of approximation without derivatives of f(z) as the Durand-Kerner method. Moreover, it is applicable not only for polynomial equations but also for transcendental equations.
