On the Halley method in Banach spaces

Ioannis K. Argyros, and Hongmin Ren. "On the Halley method in Banach spaces." Applicationes Mathematicae 39.2 (2012): 243-255. <http://eudml.org/doc/279868>.

@article{IoannisK2012,
abstract = {We provide a semilocal convergence analysis for Halley's method using convex majorants in order to approximate a locally unique solution of a nonlinear operator equation in a Banach space setting. Our results reduce and improve earlier ones in special cases.},
author = {Ioannis K. Argyros, Hongmin Ren},
journal = {Applicationes Mathematicae},
keywords = {Halley method; majorant functions; semilocal convergence; Banach space; Newton-Kantorovich method; nonlinear operator equation; error estimates},
language = {eng},
number = {2},
pages = {243-255},
title = {On the Halley method in Banach spaces},
url = {http://eudml.org/doc/279868},
volume = {39},
year = {2012},
}

TY - JOUR
AU - Ioannis K. Argyros
AU - Hongmin Ren
TI - On the Halley method in Banach spaces
JO - Applicationes Mathematicae
PY - 2012
VL - 39
IS - 2
SP - 243
EP - 255
AB - We provide a semilocal convergence analysis for Halley's method using convex majorants in order to approximate a locally unique solution of a nonlinear operator equation in a Banach space setting. Our results reduce and improve earlier ones in special cases.
LA - eng
KW - Halley method; majorant functions; semilocal convergence; Banach space; Newton-Kantorovich method; nonlinear operator equation; error estimates
UR - http://eudml.org/doc/279868
ER -