Starting points for Newton's method under a center Lipschitz condition for the second derivative
type: Item
instance of: scholarly article
title: Starting points for Newton's method under a center Lipschitz condition for the second derivative
zbMATH Open document ID: 1478.65041
published in: Journal of Computational and Applied Mathematics
publication date: 2017-11-03T00:00:00Z
Mathematics Subject Classification ID: 65H10
Mathematics Subject Classification ID: 65J15
zbMATH DE Number: 6802861
zbMATH Keywords: Newton's method
zbMATH Keywords: semilocal convergence
zbMATH Keywords: majorizing sequence
zbMATH Keywords: error estimates
zbMATH Keywords: region of accessibility
zbMATH Keywords: integral equation
author: J. A. Ezquerro
author: Miguel A. Hernández Verón
author: Ángel Alberto Magreñán
MaRDI profile type: Publication
full work available at URL: j.cam.2016.12.013
OpenAlex ID: W2562355363
cites work: Q3943431
cites work: The Newton-Kantorovich Theorem
cites work: Newton's method under weak Kantorovich conditions
cites work: On the domain of starting points of Newton's method under center Lipschitz conditions
cites work: A note on the Kantorovich theorem for Newton iteration
cites work: A new semilocal convergence theorem for Newton's method
cites work: Newton's method under mild differentiability conditions with error analysis
cites work: Q5787268
cites work: Q5803583
cites work: Third-order iterative methods under Kantorovich conditions
cites work: A family of Halley-Chebyshev iterative schemes for non-Fréchet differentiable operators
cites work: On the Newton-Kantorovich hypothesis for solving equations
cites work: A convergence theorem for Newton-like methods in Banach spaces
cites work: Q5627593
cites work: Majorizing sequences for Newton's method from initial value problems
DOI: 10.1016/J.CAM.2016.12.013
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description: scientific article; zbMATH DE number 6802861