A unifying theorem on Newton's method in a Banach space with a convergence structure under weak assumptions.

Argyros, Ioannis K.. "A unifying theorem on Newton's method in a Banach space with a convergence structure under weak assumptions.." Southwest Journal of Pure and Applied Mathematics [electronic only] 2003.1 (2003): 56-65. <http://eudml.org/doc/228929>.

@article{Argyros2003,
author = {Argyros, Ioannis K.},
journal = {Southwest Journal of Pure and Applied Mathematics [electronic only]},
keywords = {Newton's method; Banach space; order convex operator; monotone convergence; Newton-Kantorovich theorem; multilinear symmetric operator; monotonicity; error bounds; numerical examples},
language = {eng},
number = {1},
pages = {56-65},
publisher = {Cameron University, Lawton},
title = {A unifying theorem on Newton's method in a Banach space with a convergence structure under weak assumptions.},
url = {http://eudml.org/doc/228929},
volume = {2003},
year = {2003},
}

TY - JOUR
AU - Argyros, Ioannis K.
TI - A unifying theorem on Newton's method in a Banach space with a convergence structure under weak assumptions.
JO - Southwest Journal of Pure and Applied Mathematics [electronic only]
PY - 2003
PB - Cameron University, Lawton
VL - 2003
IS - 1
SP - 56
EP - 65
LA - eng
KW - Newton's method; Banach space; order convex operator; monotone convergence; Newton-Kantorovich theorem; multilinear symmetric operator; monotonicity; error bounds; numerical examples
UR - http://eudml.org/doc/228929
ER -