A convergence analysis and applications for two-point Newton-like methods in Banach space under relaxed conditions

DOI10.1007/S00010-005-2777-7zbMath1090.65062OpenAlexW2021009798MaRDI QIDQ2490643

Ioannis K. Argyros

Publication date: 18 May 2006

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

Full work available at URL: https://doi.org/10.1007/s00010-005-2777-7

zbMATH Keywords

numerical examplessemilocal convergenceBanach spaceNewton-like methodFréchet-derivativeradius of convergencemajorizing sequenceBanach lemma on invertible operatorsNewton-Kantorovich method/hypothesis

Mathematics Subject Classification ID

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

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