On the complexity of extending the convergence ball of Wang's method for finding a zero of a derivative

DOI10.1016/J.JCO.2020.101526OpenAlexW3093580012MaRDI QIDQ2034563

Ioannis K. Argyros, Hongmin Ren

Publication date: 22 June 2021

Published in: Journal of Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jco.2020.101526

zbMATH Keywords

error estimatesLipschitz continuityconvergence ballcenter Lipschitz continuityWang's method

Mathematics Subject Classification ID

Equations and inequalities involving nonlinear operators (47Jxx) Nonlinear algebraic or transcendental equations (65Hxx) Numerical analysis in abstract spaces (65Jxx)

Related Items (2)

On the complexity of convergence for high order iterative methods ⋮ Extended comparison between two Newton–Jarratt sixth order schemes for nonlinear models under the same set of conditions

Cites Work

• Enlarging the convergence ball of the method of parabola for finding zero of derivatives
• Weaker conditions for the convergence of Newton's method
• General local convergence theory for a class of iterative processes and its applications to Newton's method
• Geometric constructions of iterative functions to solve nonlinear equations
• The convergence ball of Newton's method and the uniqueness ball of equations under Hölder-type continuous derivatives
• On the local convergence study for an efficient \(k\)-step iterative method
• Local convergence of a Newton-Traub composition in Banach spaces
• On the complexity of extending the convergence region for Traub's method
• Computational theory of iterative methods.
• The convergence ball of Wang's method for finding a zero of a derivative
• Convergence ball of a modified secant method for finding zero of derivatives
• The convergence ball of the secant method under Hölder continuous divided differences
• Iterative Methods and Their Dynamics with Applications
• Convergence and Complexity of Newton Iteration for Operator Equations
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