Extending the applicability of Newton's method for \(k\)-Fréchet differentiable operators in Banach spaces
type: Item
instance of: scholarly article
title: Extending the applicability of Newton's method for \(k\)-Fréchet differentiable operators in Banach spaces
zbMATH Open document ID: 1298.65090
author: Ioannis Konstantinos Argyros
author: D. González
published in: Applied Mathematics and Computation
publication date: 2014-11-13T00:00:00Z
Mathematics Subject Classification ID: 65J15
zbMATH DE Number: 6369138
zbMATH Keywords: Newton's method
zbMATH Keywords: semilocal convergence
zbMATH Keywords: Newton-Kantorovich theorem
zbMATH Keywords: majorizing sequence
zbMATH Keywords: a priori error estimates
zbMATH Keywords: Hammerstein integral equation
MaRDI profile type: Publication
full work available at URL: j.amc.2014.02.046
OpenAlex ID: W2050274566
cites work: A family of Halley-Chebyshev iterative schemes for non-Fréchet differentiable operators
cites work: Third-order iterative methods under Kantorovich conditions
cites work: Third-order iterative methods with applications to Hammerstein equations: a unified approach
cites work: On the convergence of Newton's method for polynomial equations and applications in radiative transfer
cites work: A Newton-Kantorovich theorem for equations involving \(m\)-Fréchet differentiable operators and applications in radiative transfer
cites work: On the Newton-Kantorovich hypothesis for solving equations
cites work: Computational theory of iterative methods.
cites work: A unified approach for the convergence of certain numerical algorithms, using recurrent functions
cites work: Numerical methods for equations and its applications.
cites work: Weaker conditions for the convergence of Newton's method
cites work: The numerical solution of a non-linear boundary integral equation on smooth surfaces
cites work: Majorizing sequences for Newton's method from initial value problems
cites work: A modification of the classic conditions of Newton-Kantorovich for Newton's method
cites work: Generalized differentiability conditions for Newton's method
cites work: Halley's method for operators with unbounded second derivative
cites work: A new semilocal convergence theorem for Newton's method
cites work: Q3943431
cites work: Q4393445
DOI: 10.1016/J.AMC.2014.02.046
description: scientific article; zbMATH DE number 6369138