On the similarity of some three-point methods for solving nonlinear equations

DOI10.1016/J.AMC.2011.01.043zbMath1210.65100OpenAlexW2162758607MaRDI QIDQ632910

Jovana Džunić

Publication date: 28 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.01.043

zbMATH Keywords

nonlinear equationsoptimal order of convergencemultipoint iterative methodsroot finders

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Cites Work

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• Construction of optimal order nonlinear solvers using inverse interpolation
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• A multi-parameter family of three-step eighth-order iterative methods locating a simple root
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• A family of three-point methods of optimal order for solving nonlinear equations
• A composite fourth-order iterative method for solving nonlinear equations
• A class of three-point root-solvers of optimal order of convergence
• New eighth-order iterative methods for solving nonlinear equations
• Three-step iterative methods with eighth-order convergence for solving nonlinear equations
• A new family of eighth-order iterative methods for solving nonlinear equations
• Some fourth-order iterative methods for solving nonlinear equations
• Optimal Order of One-Point and Multipoint Iteration
• A Family of Fourth Order Methods for Nonlinear Equations

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