General family of third order methods for multiple roots of nonlinear equations and basin attractors for various methods

DOI10.1155/2014/963878zbMath1292.65047DBLPjournals/ana/SharmaB14OpenAlexW2050881202WikidataQ59047718 ScholiaQ59047718MaRDI QIDQ2248692

Rajni Sharma, Ashu Bahl

Publication date: 27 June 2014

Published in: Advances in Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/963878

zbMATH Keywords

convergencenumerical examplesnonlinear equationsmultiple rootscomplex planebasis of attraction

Mathematics Subject Classification ID

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

Related Items (1)

A family of fifth-order iterative methods for finding multiple roots of nonlinear equations

Uses Software

• Mathematica

Cites Work

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• Basin attractors for various methods
• Basin attractors for various methods for multiple roots
• On some modified families of multipoint iterative methods for multiple roots of nonlinear equations
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• A new third-order family of nonlinear solvers for multiple roots
• Modified Chebyshev-Halley type method and its variants for computing multiple roots
• Graphic and numerical comparison between iterative methods
• New third order nonlinear solvers for multiple roots
• New families of nonlinear third-order solvers for finding multiple roots
• A third-order modification of Newton's method for multiple roots
• A family of root finding methods
• An optimal multiple root-finding method of order three
• Fractal Newton basins
• A variant of Newton's method with accelerated third-order convergence

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