Ball convergence for an inverse free jarratt-type method under Hölder conditions

DOI10.1007/s40819-015-0095-xzbMath1398.65111OpenAlexW1913888711MaRDI QIDQ722696

Santhosh George, Ioannis K. Argyros

Publication date: 27 July 2018

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

Full work available at URL: https://doi.org/10.1007/s40819-015-0095-x

zbMATH Keywords

Banach spaceFréchet derivativelocal convergenceHölder conditionJarratt method

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

• Different anomalies in a Jarratt family of iterative root-finding methods
• Semilocal convergence of a sixth order iterative method for quadratic equations
• A variant of the Newton-Kantorovich theorem for nonlinear integral equations of mixed Hammerstein type
• On the semilocal convergence of Newton-Kantorovich method under center-Lipschitz conditions
• Computational theory of iterative methods.
• Increasing the order of convergence of iterative schemes for solving nonlinear systems
• Computational Methods in Nonlinear Analysis
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