Solving a nonlinear equation by a uniparametric family of iterative processes

DOI10.1080/00207169808804697zbMath0908.65030OpenAlexW1984697144MaRDI QIDQ3838264

José Antonio Ezquerro, Miguel A. Hernández, José Manuel Gutiérrez Jimenez

Publication date: 9 August 1998

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

Full work available at URL: https://doi.org/10.1080/00207169808804697

zbMATH Keywords

Newton's methodnumerical examplesChebyshev methodnonlinear equationhomotopythird-order iterative methods

Mathematics Subject Classification ID

Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Numerical computation of solutions to single equations (65H05)

Cites Work

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• A local convergence theorem for the super-Halley method in a Banach space
• A construction procedure of iterative methods with cubical convergence
• On Halley's Iteration Method
• Standard kantorovich theorem of the chebyshev method on complex plane
• A family of chebyshev-halley type methods
• A family of Chebyshev-Halley type methods in Banach spaces

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