Fourth-order iterative method without calculating the higher derivatives for nonlinear equation

In this paper, we present firstly several one-step iterative methods including classical Newton’s method and Halley’s method for root-finding problem based on Thiele’s continued fraction. Secondly, by using approximants of the second derivative and the third derivative, we obtain an improved iterati...

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Bibliographic Details
Main Author: Shengfeng Li
Format: Article
Language:English
Published: SAGE Publishing 2019-11-01
Series:Journal of Algorithms & Computational Technology
Online Access:https://doi.org/10.1177/1748302619887686