On obtaining convergence order of a fourth and sixth order method of Hueso et al. without using Taylor series expansion
type: Item
instance of: scholarly article
title: On obtaining convergence order of a fourth and sixth order method of Hueso et al. without using Taylor series expansion
zbMATH Open document ID: 1544.6508
author: M. Muniyasamy
author: G. Chandhini
author: Santhosh George
author: Indra Bate
author: Kedarnath Senapati
published in: Journal of Computational and Applied Mathematics
publication date: 2024-08-22T00:00:00Z
Mathematics Subject Classification ID: 65H05
zbMATH DE Number: 7900333
zbMATH Keywords: Taylor series expansion
zbMATH Keywords: Fréchet derivative
zbMATH Keywords: dynamics
zbMATH Keywords: Fatou set
zbMATH Keywords: Julia set
MaRDI profile type: Publication
cites work: Q5635222
cites work: Q4917542
cites work: Q5441002
cites work: Theoretical Numerical Analysis
cites work: Q4210467
cites work: An optimization of Chebyshev's method
cites work: On the convergence of a novel seventh convergence order schemes for solving equations
cites work: Enhancing the practicality of Newton-Cotes iterative method
cites work: Chebyshev's approximation algorithms and applications
cites work: Convergence, efficiency and dynamics of new fourth and sixth order families of iterative methods for nonlinear systems
cites work: Efficient high-order iterative methods for solving nonlinear systems and their application on heat conduction problems
cites work: Convergence and Applications of Newton-type Iterations
cites work: Multipoint methods for solving nonlinear equations: a survey
cites work: An Introduction to Nonlinear Analysis and Fixed Point Theory
cites work: New fourth- and sixth-order classes of iterative methods for solving systems of nonlinear equations and their stability analysis
cites work: New variants of Jarratt's method with sixth-order convergence
cites work: Q3413866
cites work: Graphic and numerical comparison between iterative methods
cites work: Dynamics of Newton-like root finding methods
DOI: 10.1016/J.CAM.2024.116136
description: scientific article; zbMATH DE number 7900333