An efficient iterative method with order five for solving nonlinear systems

Abstract

In this paper, we present a new iterative method of convergence order five for solving nonlinear systems. Per iteration the new method requires the evaluations of two functions, two first derivatives and one matrix inversion. The computational efficiency index is used to compare the efficiency of different methods. Numerical tests are performed, which confirm the theoretical results. From the comparison with the existing methods it is observed that the new method is more efficient in both computational efficiency and computational time.