Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XIII, Tome 248 (1998), pp. 242-246
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M. N. Yakovlev. A convergence theorem for the Newton method. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XIII, Tome 248 (1998), pp. 242-246. http://geodesic.mathdoc.fr/item/ZNSL_1998_248_a13/
@article{ZNSL_1998_248_a13,
author = {M. N. Yakovlev},
title = {A convergence theorem for the {Newton} method},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {242--246},
year = {1998},
volume = {248},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1998_248_a13/}
}
TY - JOUR
AU - M. N. Yakovlev
TI - A convergence theorem for the Newton method
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1998
SP - 242
EP - 246
VL - 248
UR - http://geodesic.mathdoc.fr/item/ZNSL_1998_248_a13/
LA - ru
ID - ZNSL_1998_248_a13
ER -
%0 Journal Article
%A M. N. Yakovlev
%T A convergence theorem for the Newton method
%J Zapiski Nauchnykh Seminarov POMI
%D 1998
%P 242-246
%V 248
%U http://geodesic.mathdoc.fr/item/ZNSL_1998_248_a13/
%G ru
%F ZNSL_1998_248_a13
The convergence of the Newton method is established dor equations of the form $Tx+F(x)=0$, where $T$ is an unbounded operator, and the Fréchet derivative $F'(u)$ of the operator $F(u)$ satisfies Hölder's condition.
