Expanding the applicability of Stirling's method under weaker conditions and restricted convergence regions

DOI10.2478/awutm-2018-0007OpenAlexW2904305418WikidataQ128700780 ScholiaQ128700780MaRDI QIDQ2678643

Yanyan Li

Publication date: 24 January 2023

Published in: Analele Universității de Vest din Timișoara. Seria Matematică-Informatică (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/awutm-2018-0007

zbMATH Keywords

semilocal convergencelocal convergencemajorizing sequencesStirling's methodcomputable radius of convergenceLipschtiz continuity condition

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Numerical solutions to equations with nonlinear operators (65J15)

Cites Work

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• Weaker conditions for the convergence of Newton's method
• Newton-like methods for the computation of fixed points
• Convergence of Stirling's method in Banach spaces
• Semilocal convergence of Stirling's method for fixed points in Banach spaces
• Computational theory of iterative methods.
• Iterative Methods and Their Dynamics with Applications
• Semilocal convergence of Stirling's method under Hölder continuous first derivative in Banach spaces
• Convergence of Stirling's method under weak differentiability condition
• Newton's Method in Banach Spaces
• On the convergence and application of Stirling's method
• Iterative Solution of Nonlinear Equations in Several Variables
• A new iterative method of asymptotic order 1+√2 for the computation of fixed points
• Relaxing convergence conditions for Stirling's method
• The Newton method for operators with Hölder continuous first derivative

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