COMPARISONS OF VARIOUS ROOT-FINDING METHODS BASED ON THEIR BASINS OF ATTRACTION

Authors

  • Ayunda Putri Department of Mathematics, University of Riau, Indonesia

DOI:

https://doi.org/10.31258/jomso.1.1.11-16

Keywords:

nonlinear equations, iteration methods, efficiency index, order of convergence, basins of attraction

Abstract

The primary discussion of this study is to compare various root-finding methods based on their basins of attraction. The studied methods are taken from various order of convergence and efficiency index. We consider number of divergent points to make clear of the observa- tions on the behavior of the studied methods. The relationship of the order of convergence and the efficiency index to the basins of attraction is studied.

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Published

2023-07-31 — Updated on 2024-03-13

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