A Technique to Composite a Modified Newton's Method for Solving Nonlinear Equations
Numerical Analysis
2011-06-07 v1
Abstract
A zero-finding technique for solving nonlinear equations more efficiently than they usually are with traditional iterative methods in which the order of convergence is improved is presented. The key idea in deriving this procedure is to compose a given iterative method with a modified Newton's method that introduces just one evaluation of the function. To carry out this procedure some classical methods with different orders of convergence are used to obtain root-finders with higher efficiency index.
Cite
@article{arxiv.1106.0996,
title = {A Technique to Composite a Modified Newton's Method for Solving Nonlinear Equations},
author = {Miquel Grau-Sánchez and José Luis Díaz-Barrero},
journal= {arXiv preprint arXiv:1106.0996},
year = {2011}
}