A new Householders method free from second derivatives for solving nonlinear equations and polynomiography

In this paper, we describe the new Huseholder s method free from second derivatives for solving nonlinear equations. The new Huseholder s method has convergence of order five and effciency index 5^ 1/3 1:70998, which converges faster than the Newton s method, the Halley s method and the Huseh older s method. The comparison table demonstrate the faster convergence of our method. Polynomiography via the new Huseholder s method is also presented.