A new concept of convergence for iterative methods: restricted global convergence

DOI10.1016/j.cam.2020.113051zbMath1481.35188OpenAlexW3034186883MaRDI QIDQ2068621

Miguel Ángel Hernández-Verón, José Antonio Ezquerro

Publication date: 20 January 2022

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2020.113051

zbMATH Keywords

Chebyshev's methodconvergence for iterative methods

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Numerical solutions to equations with nonlinear operators (65J15) Nonlinear operators and their properties (47H99)

Related Items (1)

Global convergence domains for an efficient fifth order iterative scheme

Cites Work

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• Recurrence relations for rational cubic methods. II: The Chebyshev method
• Reduced recurrence relations for the Chebyshev method
• Indices of convexity and concavity. Application to Halley method
• Geometric constructions of iterative functions to solve nonlinear equations
• Domains of global convergence for Newton's method from auxiliary points
• Computational Methods in Nonlinear Analysis
• Results on the Chebyshev method in banach spaces
• Newton’s Method: an Updated Approach of Kantorovich’s Theory

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