A unifying local-semilocal convergence analysis and applications for two-point Newton-like methods in Banach space

DOI10.1016/j.jmaa.2004.04.008zbMath1057.65029OpenAlexW2067266509MaRDI QIDQ1883427

Ioannis K. Argyros

Publication date: 12 October 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.04.008

zbMATH Keywords

Newton's methodnumerical examplesBanach spaceFréchet derivativenonlinear operator equationNewton-Kantorovich methodradius of convergencemajorizing sequenceLipschitz type conditions

Mathematics Subject Classification ID

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

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