New iterative methods with seventh-order convergence for solving nonlinear equations

Authors

1 Department of Mathematics, Islamic Azad University, Najafabad Branch, Na- jafabad, Iran.

2 Department of Applied Mathematics, Faculty of Science, Shahrekord Univer- sity, Shahrekord, P. O. Box 115, Iran.

3 Department of Mathematics, University of Isfahan, Isfahan, Iran.

Abstract

In this paper, seventh-order iterative methods for the solution of
nonlinear equations are presented. The new iterative methods are developed by
using weight function method and using an approximation for the last derivative,
which reduces the required number of functional evaluations per step. Several
examples are given to illustrate the eciency and the performance of the new
iterative methods.

Keywords