Open AccessBasin of Attraction from Modification Variant of Chebyshev-Halley Methods
Author(s) -
Hilda Paramita,
- Sumardi
Publication year - 2019
Publication title -
international journal of engineering and advanced technology
Language(s) - English
Resource type - Journals
ISSN - 2249-8958
DOI - 10.35940/ijeat.f1020.0986s319
Subject(s) - chebyshev filter , convergence (economics) , mathematics , hermite polynomials , attraction , order (exchange) , interpolation (computer graphics) , nonlinear system , mathematical optimization , mathematical analysis , computer science , physics , economics , finance , artificial intelligence , image (mathematics) , quantum mechanics , economic growth , linguistics , philosophy
The development of Chebyshev-Halley Method for solving nonlinear equation is presented in this paper. Varian of Chebyshev-Halley method by Xiaojian (2008) was modified using Hermite Interpolation. The convergence analysis shows that these methods have sixth-order convergence for 0 and 1 eighth-order convergence for 1 2 . The methods are classified by the order and efficiency index. Here, we considered other criteria, the basin of attractions which are presented for several examples.The development of Chebyshev-Halley Method for solving nonlinear equation is presented in this paper. Varian of Chebyshev-Halley method by Xiaojian (2008) was modified using Hermite Interpolation. The convergence analysis shows that these methods have sixth-order convergence for 0 and 1 eighth-order convergence for 1 2 . The methods are classified by the order and efficiency index. Here, we considered other criteria, the basin of attractions which are presented for several examples.