Expanding the applicability of inexact Newton methods using restricted convergence domains
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.
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
Affiliations des auteurs :
Ioannis K. Argyros 1 ; Santhosh George 2
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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/}
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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
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