Geodesic
A unifying convergence analysis of Newton's method for twice Fréchet-differentiable operators
I. K. Argyros1 ; D. González2
1 Department of Mathematical Sciences Cameron University Lawton, OK 73505, U.S.A.
2 Center on Mathematical Modelling Escuela Politécnica Nacional Quito, Ecuador
Applicationes Mathematicae, Tome 42 (2015) no. 1, pp. 29-56

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We provide a local as well as a semilocal convergence analysis for Newton's method using unifying hypotheses on twice Fréchet-differentiable operators in a Banach space setting. Our approach extends the applicability of Newton's method. Numerical examples are also provided.
DOI : 10.4064/am42-1-4
Keywords: provide local semilocal convergence analysis newtons method using unifying hypotheses twice chet differentiable operators banach space setting approach extends applicability newtons method numerical examples provided

I. K. Argyros 1 ; D. González 2

1 Department of Mathematical Sciences Cameron University Lawton, OK 73505, U.S.A.
2 Center on Mathematical Modelling Escuela Politécnica Nacional Quito, Ecuador 
@article{10_4064_am42_1_4,
     author = {I. K. Argyros and D. Gonz\'alez},
     title = {A unifying convergence analysis of {Newton's} method for twice {Fr\'echet-differentiable} operators},
     journal = {Applicationes Mathematicae},
     pages = {29--56},
     publisher = {mathdoc},
     volume = {42},
     number = {1},
     year = {2015},
     doi = {10.4064/am42-1-4},
     zbl = {1337.65045},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/am42-1-4/}
}
TY  - JOUR
AU  - I. K. Argyros
AU  - D. González
TI  - A unifying convergence analysis of Newton's method for twice Fréchet-differentiable operators
JO  - Applicationes Mathematicae
PY  - 2015
SP  - 29
EP  - 56
VL  - 42
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/am42-1-4/
DO  - 10.4064/am42-1-4
LA  - en
ID  - 10_4064_am42_1_4
ER  - 
%0 Journal Article
%A I. K. Argyros
%A D. González
%T A unifying convergence analysis of Newton's method for twice Fréchet-differentiable operators
%J Applicationes Mathematicae
%D 2015
%P 29-56
%V 42
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/am42-1-4/
%R 10.4064/am42-1-4
%G en
%F 10_4064_am42_1_4
I. K. Argyros; D. González. A unifying convergence analysis of Newton's method for twice Fréchet-differentiable operators. Applicationes Mathematicae, Tome 42 (2015) no. 1, pp. 29-56. doi: 10.4064/am42-1-4

Cité par Sources :