We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Local convergence of deformed Euler-Halley-type methods in Banach space under weak conditions.
- Authors
Argyros, Ioannis K.; George, Santhosh
- Abstract
We present a unified local convergence analysis for deformed Euler-Halley-type methods in order to approximate a solution of a nonlinear equation in a Banach space setting. Our methods include the Euler, Halley and other high order methods. The convergence ball and error estimates are given for these methods under hypotheses up to the first Fréchet derivative in contrast to earlier studies using hypotheses up to the second Fréchet derivative. Numerical examples are also provided in this study.
- Subjects
EULER equations; EQUATIONS in fluid mechanics; HALLEY'S comet; BANACH algebras; HYPOTHESIS
- Publication
Asian-European Journal of Mathematics, 2017, Vol 10, Issue 2, p-1
- ISSN
1793-5571
- Publication type
Article
- DOI
10.1142/S1793557117500863