Geodesic
Expanding the applicability of inexact Newton methods using restricted convergence domains
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 NIT Karnataka, India 575 025
Applicationes Mathematicae, Tome 44 (2017) no. 1, pp. 123-133.

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

We provide a new semilocal convergence analysis for the inexact Newton method in order to approximate a solution of a nonlinear equation in a Banach space setting. Using a new idea of restricted convergence domains we present a convergence analysis with the following advantages over earlier studies: larger convergence domain, tighter error bounds on the distances involved and an at least as precise information on the location of the solution. This way we expand the applicability of the inexact Newton method. Special cases and numerical examples are also provided.
DOI : 10.4064/am2292-3-2016
Keywords: provide semilocal convergence analysis inexact newton method order approximate solution nonlinear equation banach space setting using idea restricted convergence domains present convergence analysis following advantages earlier studies larger convergence domain tighter error bounds distances involved least precise information location solution expand applicability inexact newton method special cases numerical examples provided

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 NIT Karnataka, India 575 025 
@article{10_4064_am2292_3_2016,
     author = {Ioannis K. Argyros and Santhosh George},
     title = {Expanding the applicability of inexact {Newton} methods using restricted convergence domains},
     journal = {Applicationes Mathematicae},
     pages = {123--133},
     publisher = {mathdoc},
     volume = {44},
     number = {1},
     year = {2017},
     doi = {10.4064/am2292-3-2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/am2292-3-2016/}
}
TY  - JOUR
AU  - Ioannis K. Argyros
AU  - Santhosh George
TI  - Expanding the applicability of inexact Newton methods using restricted convergence domains
JO  - Applicationes Mathematicae
PY  - 2017
SP  - 123
EP  - 133
VL  - 44
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/am2292-3-2016/
DO  - 10.4064/am2292-3-2016
LA  - en
ID  - 10_4064_am2292_3_2016
ER  - 
%0 Journal Article
%A Ioannis K. Argyros
%A Santhosh George
%T Expanding the applicability of inexact Newton methods using restricted convergence domains
%J Applicationes Mathematicae
%D 2017
%P 123-133
%V 44
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/am2292-3-2016/
%R 10.4064/am2292-3-2016
%G en
%F 10_4064_am2292_3_2016
Ioannis K. Argyros; Santhosh George. Expanding the applicability of inexact Newton methods using restricted convergence domains. Applicationes Mathematicae, Tome 44 (2017) no. 1, pp. 123-133. doi : 10.4064/am2292-3-2016. http://geodesic.mathdoc.fr/articles/10.4064/am2292-3-2016/

Cité par Sources :