On the convergence of Newton-type methods under mild differentiability conditions

DOI10.1007/s11075-009-9308-xzbMath1190.65091OpenAlexW1968750636MaRDI QIDQ1047178

Saïd Hilout, Ioannis K. Argyros

Publication date: 4 January 2010

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-009-9308-x

zbMATH Keywords

Banach spacesnumerical examplessemilocal convergenceNewton-type methodrecurrent functionscenter-Lipschitz conditionsFréchet-differentiablemild differentiability conditions

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (6)

Newton-type method for solving generalized inclusion ⋮ A Newton-like method for generalized operator equations in Banach spaces ⋮ Semilocal convergence analysis of \(S\)-iteration process of Newton-Kantorovich like in Banach spaces ⋮ On the convergence of inexact Newton-like methods under mild differentiability conditions ⋮ Some notes on split Newton iterative algorithm ⋮ Accessibility of solutions of operator equations by Newton-like methods

Uses Software

• Mathematica
• NewtonLib

Cites Work

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• The Newton method for operators with Hölder continuous first derivative

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