A Hybrid Divided Difference Scheme for Solving Nonlinear Systems of Equations

In this paper, a hybrid method using the divided difference scheme and the Newton method for solvingnonlinear systems of the equation is proposed. For this purpose, the n-dimensional divided differencemethod as a generalization of the one-dimensional secant method is reviewed and an alternative of thismethod known as the frozen divided difference is used and combined with the Newton method. Thisscheme is examined for some test examples and the analysis of error for the one-dimensional case isperformed. The results show the efficiency and performance of the proposed method

Keywords:

Divided difference , Order of convergence , Nonlinear equations , Iterative methods , Newton method