The ``Gauss-Seidelization of iterative methods for solving nonlinear equations in the complex plane

DOI10.1016/j.amc.2011.07.061zbMath1243.65052OpenAlexW2052886828MaRDI QIDQ425423

Juan Luis Varona, Ángel Alberto Magreñán, José Manuel Gutiérrez Jimenez

Publication date: 8 June 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.07.061

zbMATH Keywords

convergencenumerical examplesiterative methodsnonlinear equationsfractalsGauss-Seidel methodbox-counting dimensionGauss-Seidelization process

Mathematics Subject Classification ID

General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Numerical computation of solutions to single equations (65H05)

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Cites Work

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• Efficient high-order methods based on golden ratio for nonlinear systems
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• Fractal Basins of Attraction Associated with a Damped Newton's Method
• NEWTON'S VERSUS HALLEY'S METHOD: A DYNAMICAL SYSTEMS APPROACH
• GENERALIZATIONS OF NEWTON'S METHOD
• Julia sets for the super-Newton method, Cauchy’s method, and Halley’s method

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