Weaker conditions for inexact mutitpoint Newton-like methods

DOI10.1007/s10910-020-01101-wzbMath1433.65092OpenAlexW3000870423WikidataQ126292179 ScholiaQ126292179MaRDI QIDQ2299181

Juan Antonio Sicilia, Ioannis K. Argyros, Ángel Alberto Magreñán, Lara Orcos, Daniel Moreno

Publication date: 20 February 2020

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-020-01101-w

zbMATH Keywords

inexact Newton-like methodsnondifferentiable equationunified convergence

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (1)

A new technique for studying the convergence of Newton's solver with real life applications

Uses Software

• NewtonLib

Cites Work

• A convergence theorem for Newton-like methods in Banach spaces
• On the convergence of inexact two-point Newton-like methods on Banach spaces
• A unifying local-semilocal convergence analysis and applications for two-point Newton-like methods in Banach space
• Computational theory of iterative methods.
• On a characterization of some Newton-like methods of \(R\)-order at least three
• On Newton-like methods
• Computational Methods in Nonlinear Analysis
• Iterative Methods and Their Dynamics with Applications
• Newton Methods for Nonlinear Problems
• The inexact, inexact perturbed, and quasi-Newton methods are equivalent models
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