On the development of iterative methods for multiple roots

DOI10.1016/J.AMC.2013.08.077zbMath1334.65087OpenAlexW1987426520MaRDI QIDQ278984

Changbum Chun, Beny Neta, Melvin R. Scott

Publication date: 27 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.2013.08.077

zbMATH Keywords

iterative methodsorder of convergencemultiple roots

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

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A stable class of modified Newton-like methods for multiple roots and their dynamics ⋮ Dynamical behaviors of some iterative methods for multiple roots of nonlinear equations ⋮ Iterative methods for multiple roots with memory using self-accelerating technique ⋮ Family of fourth-order optimal classes for solving multiple-root nonlinear equations ⋮ Basins of attraction for several optimal fourth order methods for multiple roots ⋮ Graphical representations for the homogeneous bivariate Newton's method ⋮ An eighth-order family of optimal multiple root finders and its dynamics ⋮ Convergence and dynamics of structurally identical root finding methods ⋮ Basins of attraction of a one-parameter family of root-finding techniques ⋮ Bivariate Newton-Raphson method and toroidal attraction basins ⋮ On the optimality of some multi-point methods for finding multiple roots of nonlinear equation ⋮ Modified optimal class of Newton-like fourth-order methods for multiple roots

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