Real dynamics for damped Newton's method applied to cubic polynomials
type: Item
instance of: scholarly article
title: Real dynamics for damped Newton's method applied to cubic polynomials
zbMATH Open document ID: 1345.65032
author: Ángel Alberto Magreñán
author: José Manuel Gutiérrez Jimenez
published in: Journal of Computational and Applied Mathematics
publication date: 2014-09-29T00:00:00Z
Mathematics Subject Classification ID: 65H04
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 37M05
zbMATH DE Number: 6349191
zbMATH Keywords: Newton's method
zbMATH Keywords: Lyapunov exponents
zbMATH Keywords: Feigenbaum diagrams
MaRDI profile type: Publication
full work available at URL: j.cam.2013.11.019
OpenAlex ID: W2003586960
cites work: Newton’s Algorithm and Chaotic Dynamical Systems
cites work: Attracting Orbits in Newton's Method
cites work: Chaotic dynamics of a third-order Newton-type method
cites work: Reducing chaos and bifurcations in Newton-type methods
cites work: Chaos in King's iterative family
cites work: Dynamics of a family of Chebyshev-Halley type methods
cites work: Fractal Basins of Attraction Associated with a Damped Newton's Method
cites work: Dynamics of a new family of iterative processes for quadratic polynomials
cites work: Attracting cycles for the relaxed Newton's method
cites work: Symmetries of the Julia sets of Newton's method for multiple root
cites work: Q4945281
DOI: 10.1016/J.CAM.2013.11.019
description: scientific article; zbMATH DE number 6349191