Center conditions on high order derivatives in the semilocal convergence of Newton's method

DOI10.1016/j.jco.2014.10.001zbMath1309.65063OpenAlexW1979927753MaRDI QIDQ2254686

Miguel Ángel Hernández-Verón, José Antonio Ezquerro

Publication date: 6 February 2015

Published in: Journal of Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jco.2014.10.001

zbMATH Keywords

error estimatesNewton's methodboundary value problemsemilocal convergencemajorizing sequencethe Newton-Kantorovich theorem

Mathematics Subject Classification ID

Numerical solutions to equations with nonlinear operators (65J15)

Related Items (1)

Auxiliary point on the semilocal convergence of Newton's method

Cites Work

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• Third-order iterative methods under Kantorovich conditions
• A general semilocal convergence result for Newton’s method under centered conditions for the second derivative
• Newton's method under weak Kantorovich conditions
• Generalized differentiability conditions for Newton's method
• The Newton-Kantorovich Theorem

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