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- Title
Local Comparison between Two Ninth Convergence Order Algorithms for Equations.
- Authors
Regmi, Samundra; Argyros, Ioannis K.; George, Santhosh
- Abstract
A local convergence comparison is presented between two ninth order algorithms for solving nonlinear equations. In earlier studies derivatives not appearing on the algorithms up to the 10th order were utilized to show convergence. Moreover, no error estimates, radius of convergence or results on the uniqueness of the solution that can be computed were given. The novelty of our study is that we address all these concerns by using only the first derivative which actually appears on these algorithms. That is how to extend the applicability of these algorithms. Our technique provides a direct comparison between these algorithms under the same set of convergence criteria. This technique can be used on other algorithms. Numerical experiments are utilized to test the convergence criteria.
- Subjects
ALGORITHMS; NONLINEAR equations; EQUATIONS; RADIUS (Geometry); BANACH spaces
- Publication
Algorithms, 2020, Vol 13, Issue 6, p147
- ISSN
1999-4893
- Publication type
Article
- DOI
10.3390/a13060147