A study of the influence of center conditions on the domain of parameters of Newton's method by using recurrence relations

DOI10.1007/S10444-017-9518-ZzbMath1478.65046OpenAlexW2593133113MaRDI QIDQ1683225

José Antonio Ezquerro, Miguel Ángel Hernández-Verón

Publication date: 6 December 2017

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-017-9518-z

zbMATH Keywords

Newton's methodnonlinear systemsemilocal convergencerecurrence relationsdomain of parameters

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Numerical solutions to equations with nonlinear operators (65J15) Nonlinear operators and their properties (47H99)

Related Items (1)

Localization and separation of solutions for Fredholm integral equations

Cites Work

• On the accessibility of Newton's method under a Hölder condition on the first derivative
• Estimates of majorizing sequences in the Newton-Kantorovich method: a further improvement
• Newton's method under mild differentiability conditions with error analysis
• Newton–Kantorovich Approximations When the Derivative Is Hölderian: Old and New Results
• Generalized differentiability conditions for Newton's method
• Estimates of Majorizing Sequences in the Newton–Kantorovich Method
• The Newton-Kantorovich Theorem
• The Newton method for operators with Hölder continuous first derivative
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