Unifying fourth-order family of iterative methods

DOI10.1016/j.aml.2011.02.009zbMath1225.65053OpenAlexW2080371035MaRDI QIDQ540272

Muhammad Aslam Noor, Sanjay K. Khattri, Eisa A. Al-Said

Publication date: 1 June 2011

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.02.009

zbMATH Keywords

convergencenumerical examplesNewton methodnonlinear scalar equationsfourth-order iterative methods

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (8)

An optimal fourth-order family of modified Cauchy methods for finding solutions of nonlinear equations and their dynamical behavior ⋮ Some new variants of Cauchy's methods for solving nonlinear equations ⋮ Two novel classes of two-step optimal methods for all the zeros in an interval ⋮ Novel computational iterative methods with optimal order for nonlinear equations ⋮ A new family of Newton-type iterative methods with and without memory for solving nonlinear equations ⋮ On new computational local orders of convergence ⋮ A new family of fourth-order optimal iterative schemes and remark on Kung and Traub's conjecture ⋮ How to increase convergence order of the Newton method to \(2\times m\)?

Uses Software

• ARPREC

Cites Work

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• Some fourth-order iterative methods for solving nonlinear equations
• Some fourth-order modifications of Newton's method
• On a General Class of Multipoint Root-Finding Methods of High Computational Efficiency
• Fourth-order derivative-free methods for solving non-linear equations
• Optimal Order of One-Point and Multipoint Iteration
• A Family of Fourth Order Methods for Nonlinear Equations

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