Solving Nonlinear Systems Using Fourth Order Iterative Method

In this paper, an efficient decomposition method is constructed and used for solving system of nonlinear equations. These methods based on the modified homotopy technique of Noor [1]. This technique is revised to solve the system of nonlinear equations. Our approach yields third and fourth order iterative methods which are more efficient than their classical counterparts such as Newton’s, Chebychev’s and Halley’s methods.