Two-point methods for solving equations and systems of equations

DOI10.4064/AM2365-5-2018zbMath1452.65098OpenAlexW2973856785WikidataQ127225477 ScholiaQ127225477MaRDI QIDQ3386884

Santhosh George, Ioannis K. Argyros

Publication date: 7 January 2021

Published in: Applicationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/am2365-5-2018

zbMATH Keywords

nonlinear equationdivided differencelocal and semi-local convergencefrozen secant-type methodnondifferentiable mapping

Mathematics Subject Classification ID

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

Cites Work

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• Different anomalies in a Jarratt family of iterative root-finding methods
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• A unifying local-semilocal convergence analysis and applications for two-point Newton-like methods in Banach space
• Secant-like methods for solving nonlinear integral equations of the Hammerstein type
• The convergence ball of the secant method under Hölder continuous divided differences
• Solving a special case of conservative problems by secant-like methods
• Iterative Methods and Their Dynamics with Applications
• Affine Invariant Convergence Theorems for Newton’s Method and Extensions to Related Methods
• On two high‐order families of frozen Newton‐type methods

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