We present a local convergence analysis for two popular third order methods of approximating a solution of a nonlinear equation in a Banach space setting. The convergence ball and error estimates are given for both methods under the same conditions. A comparison is given between the two methods, as well as numerical examples.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am41-4-5,
author = {Ioannis K. Argyros and Santhosh George},
title = {Local convergence of two competing third order methods in Banach space},
journal = {Applicationes Mathematicae},
volume = {41},
year = {2014},
pages = {341-350},
zbl = {1316.65056},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am41-4-5}
}
Ioannis K. Argyros; Santhosh George. Local convergence of two competing third order methods in Banach space. Applicationes Mathematicae, Tome 41 (2014) pp. 341-350. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am41-4-5/