Higher-order families of multiple root finding methods suitable for non-convergent cases and their dynamics

Higher-order families of multiple root finding methods suitable for non-convergent cases and their dynamics

In this paper, we present many new one-parameter families of classical Rall’s method (modified Newton’s method), Schröder’s method, Halley’s method and super-Halley method for the first time which will converge even though the guess is far away from the desired root or the derivative is small in the...

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Bibliographic Details
Main Authors: Ramandeep Behl, Vinay Kanwar, Young Ik Kim
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2019-06-01
Series:Mathematical Modelling and Analysis
Subjects:
multiple roots
Rall’s method
Schröder’s method
super-Halley’s method
basins of attraction
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/5646

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