Table of Contents
Math. Comput. Appl., Volume 24, Issue 1 (March 2019)
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Cover Story (view full-size image) In this study, an iterative scheme of six orders of convergence for solving systems of nonlinear [...] Read more. In this study, an iterative scheme of six orders of convergence for solving systems of nonlinear equations is presented. The scheme is composed of three steps, of which the first two are the same as in the third-order Potra–Pták method, and the last is a weighted-Newton step. Furthermore, we generalize our work to derive a family of multi-step iterative methods, whose order increases three units per step. As higher order methods are not used in practice, we study sixth- and ninth-order methods in detail. Numerical examples are included to confirm the theoretical results and to compare these methods with other existing ones. View this paper.