On Newton's Method for Solving Nonlinear Equations and Function Splitting

DOI10.4208/NMTMA.2011.M99009zbMath1249.65121OpenAlexW4233234898MaRDI QIDQ2886059

Saïd Hilout, Ioannis K. Argyros

Publication date: 1 June 2012

Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/nmtma.2011.m99009

zbMATH Keywords

Newton's methoderror boundssemilocal convergenceBanach spaceNewton-Kantorovich theoremmajorizing sequencesplitting of an operator

Mathematics Subject Classification ID

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

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