On the Halley method in Banach spaces

DOI10.4064/am39-2-9zbMath1243.65060OpenAlexW2320525443MaRDI QIDQ2880818

Hongmin Ren, Ioannis K. Argyros

Publication date: 17 April 2012

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

Full work available at URL: https://doi.org/10.4064/am39-2-9

zbMATH Keywords

error estimatessemilocal convergenceBanach spacenonlinear operator equationNewton-Kantorovich methodHalley methodmajorant functions

Mathematics Subject Classification ID

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

Related Items (1)

On the semi-local convergence of Halley's method under a center-Lipschitz condition on the second Fréchet derivative

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