Some novel Newton-type methods for solving nonlinear equations
Keywords:
Nonlinear equation, Newton’s method, Order of convergence, Efficiency index, Iterative method
Abstract
The aim of this paper is to present a new nonstandard Newton iterative method for solving nonlinear equations. The convergence of the proposed method is proved and it is shown that the new method has cubic convergence. Furthermore, two new multi-point methods with sixth-order convergence, based on the introduced method, are presented. Also, we describe the basins of attraction for these methods. Finally, some numerical examples are given to show the performance of our methods by comparing with some other methods available in the literatureDownloads
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Published
2019-02-18
Issue
Section
Research Articles
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