A generalization of the Kantorovich type assumptions for Halley's method

DOI10.1080/00207160701331335zbMath1132.65049OpenAlexW1964117715MaRDI QIDQ5431621

Miguel A. Hernández, José Antonio Ezquerro

Publication date: 12 December 2007

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160701331335

zbMATH Keywords

nonlinear equations in Banach spacesHalley's methodrecurrence relationsnonlinear integral equationsemilocal convergence theoremlogarithmic convexitytangent hyperbolas method

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (2)

Semilocal convergence of Modified Chebyshev-Halley method for nonlinear operators in case of unbounded third derivative ⋮ On the semi-local convergence analysis of higher order iterative method in two folds

Cites Work

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• On the method of tangent hyperbolas in Banach spaces
• Indices of convexity and concavity. Application to Halley method
• A note on the Halley method in Banach spaces
• New Kantorovich-Type Conditions for Halley's Method
• On the Geometry of Halley's Method
• A note on the convergence of Halley's method for solving operator equations

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