On a bi-parametric class of optimal eighth-order derivative-free methods
Given a nonlinear equation of one variate \(f(x)=0\). There are many well-known methods of finding the solution of the equation. Among them are Newton's method and Steffensen's method. A new three-step derivative-free class of eighth-order methods is proposed in the paper. Optimality conditions of these methods are established. Numerical examples that illustrate the proposed methods are given at the end of the article.
scientific article; zbMATH DE number 6053400