On the accessibility of Newton's method under a Hölder condition on the first derivative

DOI10.3390/a8030514zbMath1461.65103OpenAlexW1929906732MaRDI QIDQ1736679

José Antonio Ezquerro, Miguel Ángel Hernández-Verón

Publication date: 26 March 2019

Published in: Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/a8030514

zbMATH Keywords

Newton's methodnonlinear systemrecurrence relationsdomain of parameterssemi-local convergence

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

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A study of the influence of center conditions on the domain of parameters of Newton's method by using recurrence relations ⋮ Influence of the center condition on the two-step secant method

Cites Work

• On the Newton-Kantorovich hypothesis for solving equations
• Newton's method under mild differentiability conditions with error analysis
• Über die Lösung der im Banachschen Raume definierten nichtlinearen Gleichungen
• The Newton method for operators with Hölder continuous first derivative
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