An efficient fifth order method for solving systems of nonlinear equations

In this paper, we present a three-step iterative method of convergence order five for solving systems of nonlinear equations. The methodology is based on the two-step Homeier’s method with cubic convergence (Homeier, 2004). Computational efficiency in its general form is discussed and a comparison between the efficiency of proposed technique and existing ones is made. The performance is tested through numerical examples. Moreover, theoretical results concerning order of convergence and computational efficiency are verified in the examples. It is shown that the present method has an edge over existing methods, particularly when applied to large systems of equations.