Improved local convergence for Euler-Halley-like methods with a parameter

DOI10.1007/S12215-015-0220-ZzbMath1342.65134OpenAlexW2284786665MaRDI QIDQ276288

Ioannis K. Argyros, Santhosh George

Publication date: 3 May 2016

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-015-0220-z

zbMATH Keywords

numerical exampleerror estimateBanach spacenonlinear operator equationlocal convergenceEuler-Halley-like iterative methodgeneral Lipschitz conditions

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Integro-ordinary differential equations (45J05) Numerical solutions to equations with nonlinear operators (65J15)

Cites Work

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• On the local convergence of a family of Euler-halley type iterations with a parameter
• Geometric constructions of iterative functions to solve nonlinear equations
• Computational Methods in Nonlinear Analysis
• Convergence and Applications of Newton-type Iterations
• An acceleration of Newton's method: Super-Halley method

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