Authors : M.A. Hafiz and M.Q. Khirallah
Abstract: In this study, we present and analyze an iterative method of three steps using predictor corrector technique for solving systems of nonlinear equations. Our aim is to achieve high order of convergence with few Jacobian and functional evaluations. The analysis of convergence demonstrates that the order of convergence for this method is twelve. We use the concerned the flops-like efficiency index and the classical efficiency index in order to compare the obtained method with the previous literature. In addition, the proposed method has been tested on a series of examples and has shown good results when compared it with the previous literature.
M.A. Hafiz and M.Q. Khirallah, 2016. A Twelfth-Order Method to Solve Systems of Nonlinear Equations. International Journal of Soft Computing, 11: 270-275.