Local convergence of a multi-step high order method with divided differences under hypotheses on the first derivative

DOI10.1515/aupcsm-2017-0003zbMath1382.65153OpenAlexW2751591632MaRDI QIDQ1698738

Ioannis K. Argyros, Santhosh George

Publication date: 16 February 2018

Published in: Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/aupcsm-2017-0003

zbMATH Keywords

numerical exampleBanach spacenonlinear operator equationlocal convergenceradius of convergencerestricted convergence domainmulti-step method

Mathematics Subject Classification ID

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

Related Items (1)

Local convergence of a seventh order derivative-free method for solving nonlinear equations in Banach spaces

Cites Work

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• Different anomalies in a Jarratt family of iterative root-finding methods
• A new tool to study real dynamics: the convergence plane
• An efficient fifth order method for solving systems of nonlinear equations
• Improved local analysis for a certain class of iterative methods with cubic convergence
• Semilocal convergence of a sixth order iterative method for quadratic equations
• Weaker conditions for the convergence of Newton's method
• Ostrowski type methods for solving systems of nonlinear equations
• On the approximation of derivatives using divided difference operators preserving the local convergence order of iterative methods
• An improvement of the Euler-Chebyshev iterative method
• On the semilocal convergence of Newton-Kantorovich method under center-Lipschitz conditions
• Iterative methods of order four and five for systems of nonlinear equations
• Computational theory of iterative methods.
• Increasing the order of convergence of iterative schemes for solving nonlinear systems
• Computational Methods in Nonlinear Analysis
• A semilocal convergence analysis for directional Newton methods
• A variant of Newton's method with accelerated third-order convergence
• A modified Newton-Jarratt's composition

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