Journal of Mathematics UNP
Vol 6, No 2 (2021): Journal Of Mathematics UNP

Penentuan Akar Persamaan Tak Linier Menggunakan Metode Prediktor-Korektor Halley

Khairil Amri (Jurusan Matematika Universitas Negeri Padang)
Minora Longgom Nasution (Jurusan Matematika Universitas Negeri Padang)
Riry Sriningsih (Jurusan Matematika Universitas Negeri Padang)



Article Info

Publish Date
20 Jun 2021

Abstract

Abstract-Nonlinear equation which is difficult to solve by analysis, but it can be solved using approach of variety of  numerical methods, for instance Newton-Raphson and Halley Methods.  However, the methods are not guaranteed to be convergent. Predictor Corrector Halley's method is one of the method that appear from the advantages and disadvantages of Newton-Raphson and Method of Halley. This method uses the Newton-Raphson Method as predictor and Halley's Method as corrector. It has a higher order and more efficient from Newton-Raphson and Halley methods. The advantage of this method has a higher convergence that has sixth-order convergence so that the step of the iteration is fewer. Next,an algorithm of this method is used to determine the root approximations of nonlinear equations.Key Words-Non Linear Equations, Newton Method, Halley Method, Prediktor Corector Halley Method, Algorithm.

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Journal Info

Abbrev

mat

Publisher

Subject

Computer Science & IT Decision Sciences, Operations Research & Management Mathematics

Description

Journal of Mathematics UNP is a journal to publish article from student researches in UNP Mathematics study program, and we also kindly accept other article from outside of our study program related to Mathematics: consists of publication in Algebra, Analysis, Combinatoric, Geometry, Differential ...