An Improved Newtons Method Without Direct Function Evaluations

Due to the fact that systems of nonlinear equations arise frequently in science and engineering, they have recently attracted researchers’ interest. In this work, we present a new Newton-like approach which is independent of function evaluation and has been provided using an original idea that improves some definitions and notions of a recently proposed method [1] for solving systems of nonlinear. Also, the convergence of proposed method has been discussed. The computational advantages and convergence rate of the proposed method are also tested via some numerical experiments. From the obtained numerical results it seems that present approach affect considerably the overall performance in relation to Newtons method and its aforementioned variants.