A general family of third order method for finding multiple roots

DOI10.1016/j.amc.2014.01.108zbMath1334.65088OpenAlexW2090764059MaRDI QIDQ272619

Ahmed Tijini, Driss Sbibih, Abdelhafid Serghini, Ahmed Zidna

Publication date: 20 April 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.01.108

zbMATH Keywords

Newton's methoditerative methodsorder of convergencemultiple roots

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (9)

Comparative study of methods of various orders for finding repeated roots of nonlinear equations ⋮ A new family of methods for single and multiple roots ⋮ Multiplicity anomalies of an optimal fourth-order class of iterative methods for solving nonlinear equations ⋮ On constructing two-point optimal fourth-order multiple-root finders with a generic error corrector and illustrating their dynamics ⋮ A family of optimal quartic-order multiple-zero finders with a weight function of the principal \(k\)th root of a derivative-to-derivative ratio and their basins of attraction ⋮ Comparing the basins of attraction for Kanwar-Bhatia-Kansal family to the best fourth order method ⋮ Basins of attraction for several third order methods to find multiple roots of nonlinear equations ⋮ On the optimality of some multi-point methods for finding multiple roots of nonlinear equation ⋮ New families of third-order iterative methods for finding multiple roots

Uses Software

• Mathematica

Cites Work

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