Three-Step Method with Fifth-Order Convergence for Nonlinear Equation

We present a fifth-order iterative method for the solution of nonlinear equation. The new method is based on the Noor's third-order method, which is a modified Householder method without second derivatives. Its efficiency index is 1.4953 which is better than that of Newton's method and Noor's method. Numerical results show the efficiency of the proposed method.