Journal of Mathematics UNP
Vol 8, No 1 (2023): Journal Of Mathematics UNP

Metode Iterasi Prediktor Korektor Jarratt Householder Untuk Penentuan Akar Persamaan Non Linier

Yoga Aprila (Universitas Negeri Padang)
Muhammad Subhan (Universitas Negeri Padang)



Article Info

Publish Date
27 Mar 2023

Abstract

Determining roots of non-linear equation are often problem in mathematics and engineering. In general, these non-linear equations will appear in  complex form that make difficult to solve analytically, so assistance of numerical methods is needed to determining the roots. One of the numerical methods that can be used including Newton-Raphson’s Method,  Jarratt’s Method, and Householder’s Method. However, the drawback of these methods are their low order of convergence. Predictor Corrector Jarratt-Householder Iterative Method is a method that arises due to the shortcomings of these methods. The purpose of this research is to study how the process of construction of Predictor Corrector Jarratt-Householder Iterative Method , making algorithm, and finding the order of convergence. The numerical simulation test results with several functions show that Predictor Corrector Jarratt-Householder Iterative Method can finds roots faster than Newton-Raphson’s Method, Jarratt's Method, and Householder's Method.

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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 ...