Extending the domain of starting points for Newton's method under conditions on the second derivative

DOI10.1016/J.CAM.2018.01.024zbMath1432.65065OpenAlexW2794496986MaRDI QIDQ1636743

Ioannis K. Argyros, Ángel Alberto Magreñán, Miguel Ángel Hernández-Verón, José Antonio Ezquerro

Publication date: 12 June 2018

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.2018.01.024

zbMATH Keywords

error estimatesintegral equationNewton's methodsemilocal convergencemajorizing sequencerestricted domain

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) 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
• Majorizing sequences for Newton's method from initial value problems
• Starting points for Newton's method under a center Lipschitz condition for the second derivative
• Application of interval Newton's method to chemical engineering problems
• Iterative Methods and Their Dynamics with Applications

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