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Convergence of an iterative method in Banach spaces with Lipschitz continuous first derivative

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Publication:258010
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DOI10.1504/IJANS.2014.068254zbMath1335.65051MaRDI QIDQ258010

F. Blanchet-Sadri, M. Dambrine

Publication date: 17 March 2016

Published in: International Journal of Applied Nonlinear Science (Search for Journal in Brave)



zbMATH Keywords

numerical exampleBanach spacesNewton-like methodFréchet derivativerecurrence relationsa priori error boundsnonlinear operator equationscubic convergenceLipschitz continuous first derivative


Mathematics Subject Classification ID

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








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