Geodesic
Local convergence of two competing third order methods in Banach space
Ioannis K. Argyros1 ; Santhosh George2
1 Department of Mathematical Sciences Cameron University Lawton, OK 73505, U.S.A.
2 Department of Mathematical and Computational Sciences National Institute of Technology Karnataka, India 757 025
Applicationes Mathematicae, Tome 41 (2014) no. 4, pp. 341-350

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

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.
DOI : 10.4064/am41-4-5
Keywords: present local convergence analysis popular third order methods approximating solution nonlinear equation banach space setting convergence ball error estimates given methods under conditions comparison given between methods numerical examples

Ioannis K. Argyros 1 ; Santhosh George 2

1 Department of Mathematical Sciences Cameron University Lawton, OK 73505, U.S.A.
2 Department of Mathematical and Computational Sciences National Institute of Technology Karnataka, India 757 025 
@article{10_4064_am41_4_5,
     author = {Ioannis K. Argyros and Santhosh George},
     title = {Local convergence of two competing third order methods in {Banach} space},
     journal = {Applicationes Mathematicae},
     pages = {341--350},
     publisher = {mathdoc},
     volume = {41},
     number = {4},
     year = {2014},
     doi = {10.4064/am41-4-5},
     zbl = {1316.65056},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/am41-4-5/}
}
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
SP  - 341
EP  - 350
VL  - 41
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/am41-4-5/
DO  - 10.4064/am41-4-5
LA  - en
ID  - 10_4064_am41_4_5
ER  - 
%0 Journal Article
%A Ioannis K. Argyros
%A Santhosh George
%T Local convergence of two competing third order methods in Banach space
%J Applicationes Mathematicae
%D 2014
%P 341-350
%V 41
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/am41-4-5/
%R 10.4064/am41-4-5
%G en
%F 10_4064_am41_4_5
Ioannis K. Argyros; Santhosh George. Local convergence of two competing third order methods in Banach space. Applicationes Mathematicae, Tome 41 (2014) no. 4, pp. 341-350. doi: 10.4064/am41-4-5

Cité par Sources :