The Theory of Kantorovich for Newton’s Method: Conditions on the Second Derivative

DOI10.1007/978-3-319-39228-8_6zbMath1406.65040OpenAlexW2527137468MaRDI QIDQ2832952

José Antonio Ezquerro, Miguel Ángel Hernández-Verón

Publication date: 15 November 2016

Published in: SEMA SIMAI Springer Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-39228-8_6

Mathematics Subject Classification ID

Numerical solutions to equations with nonlinear operators (65J15)

Cites Work

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• Halley's method for operators with unbounded second derivative
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• On an application of Newton's method to nonlinear operators with \(\omega\)-conditioned second derivative
• An application of Newton's method to differential and integral equations
• A general semilocal convergence result for Newton’s method under centered conditions for the second derivative
• Generalized differentiability conditions for Newton's method
• Numerical Solvability of Hammerstein Integral Equations of Mixed Type

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