A new third-order family of nonlinear solvers for multiple roots

DOI10.1016/J.CAMWA.2010.03.016zbMath1198.65089OpenAlexW2089641200MaRDI QIDQ604023

Jafar Biazar, Behzad Ghanbari

Publication date: 8 November 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.03.016

zbMATH Keywords

Newton's methoditerative methodsnonlinear equationsmultiple rootsroot finding

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (7)

A general family of third order method for finding multiple roots ⋮ A family of fifth-order iterative methods for finding multiple roots of nonlinear equations ⋮ On a numerical technique for finding multiple zeros and its dynamic ⋮ Unnamed Item ⋮ A sixth order transformation method for finding multiple roots of nonlinear equations and basin attractors for various methods ⋮ General family of third order methods for multiple roots of nonlinear equations and basin attractors for various methods ⋮ On developing a novel sixth order transformation method for multiple roots and its basins of attraction

Cites Work

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• 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
• High-order nonlinear solver for multiple roots
• A family of multiopoint iterative functions for finding multiple roots of equations
• A higher order method for multiple zeros of nonlinear functions

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