摘要

In this paper, we present an efficient Newton-like method with fifth-order convergence for nonlinear equations. The algorithm is free from second derivative and it requires four evaluations of the given function and its first derivative at each iteration. As a consequence, its efficiency index is equal to 4 root 5 which is better than that of Newton's method root 2. Several examples demonstrate that the presented algorithm is more efficient and performs better than Newton's method.