A General Class of Derivative Free Optimal Root Finding Methods Based on Rational Interpolation. (28th January 2015) - Zafar, Fiza
Abstract : We construct a new general class of derivative free n -point iterative methods of optimal order of convergence 2 n - 1 using rational interpolant. The special cases of this class are obtained. These methods do not need Newton's iterate in the … first step of their iterative schemes. Numerical computations are presented to show that the new methods are efficient and can be seen as better alternates.