Extending the domain of starting points for Newton's method under conditions on the second derivative
type: Item
instance of: scholarly article
title: Extending the domain of starting points for Newton's method under conditions on the second derivative
zbMATH Open document ID: 1432.65065
author: Ioannis Konstantinos Argyros
author: J. A. Ezquerro
author: Miguel A. Hernández Verón
author: Ángel Alberto Magreñán
published in: Journal of Computational and Applied Mathematics
publication date: 2018-06-12T00:00:00Z
Mathematics Subject Classification ID: 65J15
Mathematics Subject Classification ID: 65H10
zbMATH DE Number: 6885668
zbMATH Keywords: Newton's method
zbMATH Keywords: restricted domain
zbMATH Keywords: majorizing sequence
zbMATH Keywords: semilocal convergence
zbMATH Keywords: error estimates
zbMATH Keywords: integral equation
MaRDI profile type: Publication
full work available at URL: j.cam.2018.01.024
OpenAlex ID: W2794496986
cites work: Q3943431
cites work: A note on the Kantorovich theorem for Newton iteration
cites work: A new semilocal convergence theorem for Newton's method
cites work: Starting points for Newton's method under a center Lipschitz condition for the second derivative
cites work: Iterative Methods and Their Dynamics with Applications
cites work: Application of interval Newton's method to chemical engineering problems
cites work: Q5627593
cites work: Majorizing sequences for Newton's method from initial value problems
DOI: 10.1016/J.CAM.2018.01.024
description: scientific article; zbMATH DE number 6885668