The majorant method in the theory of Newton-Kantorovich approximations and generalized Lipschitz conditions

DOI10.1016/j.cam.2014.12.013zbMath1329.65114OpenAlexW2016696588MaRDI QIDQ491048

Ioannis K. Argyros, Saïd Hilout

Publication date: 24 August 2015

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2014.12.013

zbMATH Keywords

rate of convergenceBanach spacemajorant methodKantorovich's hypothesislocal/semilocal convergencemodified Newton's method

Mathematics Subject Classification ID

Newton-type methods (49M15) Fixed-point theorems (47H10) Numerical solutions to equations with nonlinear operators (65J15)

Related Items

Editorial: Mathematical modeling and computational methods, Study of semilocal convergence analysis of Chebyshev's method under new type majorant conditions

Uses Software

• NewtonLib

Cites Work

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