On the local convergence and the dynamics of Chebyshev-Halley methods with six and eight order of convergence
type: Item
instance of: scholarly article
title: On the local convergence and the dynamics of Chebyshev-Halley methods with six and eight order of convergence
zbMATH Open document ID: 1331.65086
author: Ioannis Konstantinos Argyros
author: Ángel Alberto Magreñán
published in: Journal of Computational and Applied Mathematics
publication date: 2016-02-04T00:00:00Z
Mathematics Subject Classification ID: 65K05
Mathematics Subject Classification ID: 65D10
Mathematics Subject Classification ID: 90C30
Mathematics Subject Classification ID: 90C48
zbMATH DE Number: 6539274
zbMATH Keywords: Chebyshev-Halley methods
zbMATH Keywords: local convergence
zbMATH Keywords: order of convergence
zbMATH Keywords: dynamics of a method
MaRDI profile type: Publication
full work available at URL: j.cam.2015.11.036
OpenAlex ID: W2190816950
cites work: Convergence and Applications of Newton-type Iterations
cites work: On the local convergence of fast two-step Newton-like methods for solving nonlinear equations
cites work: Q4191521
cites work: Improved Chebyshev-Halley methods with sixth and eighth order convergence
cites work: Some improvements of Jarratt's method with sixth-order convergence
cites work: Chaos in King's iterative family
cites work: Dynamics of a family of Chebyshev-Halley type methods
cites work: Variants of Newton's method using fifth-order quadrature formulas
cites work: Dynamics of the King and Jarratt iterations
cites work: Chaotic dynamics of a third-order Newton-type method
cites work: Recurrence relations for the super-Halley method
cites work: Different anomalies in a Jarratt family of iterative root-finding methods
cites work: A new tool to study real dynamics: the convergence plane
cites work: Recurrence relations for rational cubic methods. I: The Halley method
cites work: Recurrence relations for rational cubic methods. II: The Chebyshev method
cites work: Recurrence relations for Chebyshev-type methods
cites work: New iterations of \(R\)-order four with reduced computational cost
cites work: On the \(R\)-order of the Halley method
cites work: Numerical Solvability of Hammerstein Integral Equations of Mixed Type
cites work: Chebyshev's approximation algorithms and applications
cites work: Q4701934
cites work: Some Fourth Order Multipoint Iterative Methods for Solving Equations
cites work: An improvement of the Jarratt method
cites work: An improvement of Chebyshev-Halley methods free from second derivative
cites work: New variants of Jarratt's method with sixth-order convergence
cites work: Q4157882
cites work: Q5652137
cites work: Semilocal convergence of a sixth-order Jarratt method in Banach spaces
DOI: 10.1016/J.CAM.2015.11.036
description: scientific article; zbMATH DE number 6539274