Expanding the applicability of inexact Newton methods using restricted convergence domains

DOI10.4064/AM2292-3-2016zbMath1368.65077OpenAlexW2604264967MaRDI QIDQ2985931

Santhosh George, Ioannis K. Argyros

Publication date: 10 May 2017

Published in: Applicationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/am2292-3-2016

zbMATH Keywords

numerical examplesemilocal convergenceBanach spaceinexact Newton methodnonliner operator equation

Mathematics Subject Classification ID

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

Related Items (1)

On the convergence of inexact Newton-like methods under mild differentiability conditions

Cites Work

• Weaker conditions for the convergence of Newton's method
• Semilocal convergence analysis for inexact Newton method under weak condition
• A new semilocal convergence theorem for Newton's method
• On the Newton-Kantorovich hypothesis for solving equations
• Computational theory of iterative methods.
• Local Convergence of Inexact Newton Methods
• Inexact Newton Methods
• Convergence of Newton’s method and inverse function theorem in Banach space

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