Local convergence of two competing third order methods in Banach space

Ioannis K. Argyros, and Santhosh George. "Local convergence of two competing third order methods in Banach space." Applicationes Mathematicae 41.4 (2014): 341-350. <http://eudml.org/doc/279866>.

@article{IoannisK2014,
abstract = {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.},
author = {Ioannis K. Argyros, Santhosh George},
journal = {Applicationes Mathematicae},
keywords = {third-order methods; midpoint method; Banach space; convergence ball; local convergence; nonlinear operator equation},
language = {eng},
number = {4},
pages = {341-350},
title = {Local convergence of two competing third order methods in Banach space},
url = {http://eudml.org/doc/279866},
volume = {41},
year = {2014},
}

TY - JOUR
AU - Ioannis K. Argyros
AU - Santhosh George
TI - Local convergence of two competing third order methods in Banach space
JO - Applicationes Mathematicae
PY - 2014
VL - 41
IS - 4
SP - 341
EP - 350
AB - 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.
LA - eng
KW - third-order methods; midpoint method; Banach space; convergence ball; local convergence; nonlinear operator equation
UR - http://eudml.org/doc/279866
ER -