Sixth-order and Seventh-order Iterative Methods for Solving Nonlinear Equations
General Mathematics
2013-08-12 v3
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.
Cite
@article{arxiv.1302.3095,
title = {Sixth-order and Seventh-order Iterative Methods for Solving Nonlinear Equations},
author = {Fayyaz Ahmad and Domingo García-Senz},
journal= {arXiv preprint arXiv:1302.3095},
year = {2013}
}
Comments
Article is submitted to journal Calcolo - Springer. (Replacement is made to remove the footnote "Submitted to Elsevier" which is automatically generated if someone use Elsevier free template calss)