Geodesic
On the convergence and application of Stirling's method
Ioannis K. Argyros1
1 Department of Mathematics Cameron University Lawton, OK 73505, U.S.A.
Applicationes Mathematicae, Tome 30 (2003) no. 1, pp. 109-119.

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

We provide new sufficient convergence conditions for the local and semilocal convergence of Stirling's method to a locally unique solution of a nonlinear operator equation in a Banach space setting. In contrast to earlier results we do not make use of the basic restrictive assumption in [8] that the norm of the Fréchet derivative of the operator involved is strictly bounded above by 1. The study concludes with a numerical example where our results compare favorably with earlier ones.
DOI : 10.4064/am30-1-7
Keywords: provide sufficient convergence conditions local semilocal convergence stirlings method locally unique solution nonlinear operator equation banach space setting contrast earlier results make basic restrictive assumption norm chet derivative operator involved strictly bounded above study concludes numerical example where results compare favorably earlier

Ioannis K. Argyros 1

1 Department of Mathematics Cameron University Lawton, OK 73505, U.S.A. 
@article{10_4064_am30_1_7,
     author = {Ioannis K. Argyros},
     title = {On the convergence and application
  of {Stirling's} method},
     journal = {Applicationes Mathematicae},
     pages = {109--119},
     publisher = {mathdoc},
     volume = {30},
     number = {1},
     year = {2003},
     doi = {10.4064/am30-1-7},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/am30-1-7/}
}
TY  - JOUR
AU  - Ioannis K. Argyros
TI  - On the convergence and application
  of Stirling's method
JO  - Applicationes Mathematicae
PY  - 2003
SP  - 109
EP  - 119
VL  - 30
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/am30-1-7/
DO  - 10.4064/am30-1-7
LA  - en
ID  - 10_4064_am30_1_7
ER  - 
%0 Journal Article
%A Ioannis K. Argyros
%T On the convergence and application
  of Stirling's method
%J Applicationes Mathematicae
%D 2003
%P 109-119
%V 30
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/am30-1-7/
%R 10.4064/am30-1-7
%G en
%F 10_4064_am30_1_7
Ioannis K. Argyros. On the convergence and application
  of Stirling's method. Applicationes Mathematicae, Tome 30 (2003) no. 1, pp. 109-119. doi : 10.4064/am30-1-7. http://geodesic.mathdoc.fr/articles/10.4064/am30-1-7/

Cité par Sources :