We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Ball convergence of a sixth order iterative method with one parameter for solving equations under weak conditions.
- Authors
Argyros, Ioannis; George, Santhosh
- Abstract
We present a local convergence analysis of a sixth order iterative method for approximate a locally unique solution of an equation defined on the real line. Earlier studies such as Sharma et al. (Appl Math Comput 190:111-115, 2007) have shown convergence of these methods under hypotheses up to the fifth derivative of the function although only the first derivative appears in the method. In this study we expand the applicability of these methods using only hypotheses up to the first derivative of the function. Numerical examples are also presented in this study.
- Subjects
NUMERICAL analysis; ITERATIVE methods (Mathematics); STOCHASTIC convergence; STOCHASTIC processes; EQUATIONS
- Publication
Calcolo, 2016, Vol 53, Issue 4, p585
- ISSN
0008-0624
- Publication type
Article
- DOI
10.1007/s10092-015-0163-y