Two conditions concerning Newton's method

DOI10.1016/J.AMC.2007.04.035zbMath1193.65092OpenAlexW2077329761MaRDI QIDQ990648

J. Martínez

Publication date: 1 September 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2007.04.035

zbMATH Keywords

Newton's methodcenter Lipschitz conditionmajorizing function

Mathematics Subject Classification ID

Numerical solutions to equations with nonlinear operators (65J15)

Cites Work

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• A new semilocal convergence theorem for Newton's method
• A note on the Kantorovich theorem for Newton iteration
• A method for finding sharp error bounds for Newton's method under the Kantorovich assumptions
• Convergence of Newton’s method and inverse function theorem in Banach space
• A Newton-Kantorovich theorem for equations involving \(m\)-Fréchet differentiable operators and applications in radiative transfer

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