TY - JOUR AU - Torkashvand, Vali AU - Momenzadeh, Mohammad AU - Lotf, Taher PY - 2020/10/01 Y2 - 2024/03/28 TI - Creating a new two-step recursive memory method with eight-order based on Kung and Traub's method. JF - Proyecciones (Antofagasta, On line) JA - Proyecciones (Antofagasta, On line) VL - 39 IS - 5 SE - DO - 10.22199/issn.0717-6279-2020-05-0072 UR - https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3592 SP - 1167-1189 AB - <p><em>We are devoted to the study of an iterative recursive Traub-Steffensen like method for approximating the simple roots of a nonlinear equation. Using the recursive technique, the R-order of convergence is increased from 4 to 8 without any new function evaluations, which means 100% improvement of the order of the convergence. The theoretical study of the convergence rate is investigated and demonstrated. A few nonlinear problems are presented to justify the theoretical study.</em></p> ER -