A New Secant-type Method for Solving Nonlinear Equations

摘要

A new secant-type method for finding zeros of nonlinear equations is presented. In terms of computational cost the new iterative method requires two evaluations of functions per iteration. It is shown and proved that the new method has a convergence of order . We examine the effectiveness of the new method by approximating the simple root of several nonlinear equations. Numerical examples are given to demonstrate exceptional convergence speed of the proposed method. It is observed that our proposed method is competitive with other similar robust methods and very effective in high precision computations.