On the semilocal convergence of Newton-type methods, when the derivative is not continuously invertible

DOI10.4067/S0719-06462011000300001zbMATH Open1251.65079OpenAlexW2034153697MaRDI QIDQ3110038

Saïd Hilout, Ioannis Konstantinos Argyros

Publication date: 26 January 2012

Published in: Cubo (Temuco) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4067/s0719-06462011000300001

zbMATH Keywords

numerical exampleserror boundsemilocal convergenceBanach spacenonlinear operator equationNewton-type methodsFréchet-derivativesmall divisorsnon-invertible operatorsNewton-Kantorovich type hypothesis

Mathematics Subject Classification ID

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

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