Sixth-order and Seventh-order Iterative Methods for Solving Nonlinear Equations

Fayyaz Ahmad; Domingo García-Senz

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arXiv · 1302.3095

Sixth-order and Seventh-order Iterative Methods for Solving Nonlinear Equations

Fayyaz Ahmad·Domingo García-Senz

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Abstract

In this article, we discuss sixth-order and seventh-order iterative methods for nonlinear equations. Derivative-based and derivative-free, both categories are presented for said iterative methods. Especially sixth-order derivative-based and derivative-free iterative families are constructed in such a way that they circumstance a wide class of sixth-order methods which are developed in last many years. Weight functions are introduced to enhance the efficiency and parametric combination gives weight-age flexibility in between weight functions.

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Fayyaz Ahmad, Domingo García-Senz. 2013-02-13. Sixth-order and Seventh-order Iterative Methods for Solving Nonlinear Equations. https://arxiv.org/abs/1302.3095

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