Robust semi-local convergence analysis for inexact Newton method
- Argyros, I.K. 1
- Hilout, S. 24
- Magreñán, Á.A. 3
-
1
Cameron University
info
-
2
University of Poitiers
info
-
3
Universidad de La Rioja
info
-
4
University of Quebec at Montreal
info
ISSN: 0096-3003
Argitalpen urtea: 2014
Alea: 227
Orrialdeak: 741-754
Mota: Artikulua
Beste argitalpen batzuk: Applied Mathematics and Computation
Lotura duten proiektuak
Laburpena
We present a more flexible semi-local convergence analysis for inexact Newton with relative residual error tolerance than in earlier studies. A combination of a majorant function and a center-majorant function is used in the convergence analysis. The center-majorant function is used instead of the majorant function to obtain more precise estimates. The advantages of the new approach are under the same computational cost: weaker convergence criteria; more precise error estimates on the distances involved and an at least as precise information on the location of the solution. Special cases and applications are also provided in the study. © 2013 Elsevier Inc. All rights reserved.