An optimal eighth-order derivative-free family of Potra-Pták's method
Summary: In this paper, we present a new three-step derivative-free family based on Potra-Pták's method for solving nonlinear equations numerically. In terms of computational cost, each member of the proposed family requires only four functional evaluations per full iteration to achieve optimal eighth-order convergence. Further, computational results demonstrate that the proposed methods are highly efficient as compared with many well-known methods.
scientific article; zbMATH DE number 7042253