Basin of Attraction from Modification Variant of Chebyshev-Halley Methods
Hilda Paramita1, Sumardi2
1Hilda Paramita, Department of Mathematics and Natural Sciences, Universitas Gadjah Mada, Yogyakarta, Indonesia.
2Sumardi, Department of Mathematics and Natural Sciences, Universitas Gadjah Mada, Yogyakarta, Indonesia.
Manuscript received on 27 September 2019 | Revised Manuscript received on 09 November 2019 | Manuscript Published on 22 November 2019 | PP: 119-124 | Volume-8 Issue-6S3 September 2019 | Retrieval Number: F10200986S319/19©BEIESP | DOI: 10.35940/ijeat.F1020.0986S319
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: 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.
Keywords: Basin of Attraction, Iterative Methods, Nonlinear Equation, Hermite Interpolation.
Scope of the Article: Cryptography and Applied Mathematics