Improved Higher Order Compositions for Nonlinear Equations

In the present study, two new compositions of convergence order six are presented for solving nonlinear equations. The first method is obtained from third-order one given by Homeier using linear interpolation, and second Traub divided differences. requires three evaluations function evaluation derivative, thereby enhancing efficiency index. method, computation a derivative reduced approximating it Various numerical experiments performed which demonstrate accuracy efficacy proposed methods.