Basins of attraction for several third order methods to find multiple roots of nonlinear equations

DOI10.1016/j.amc.2015.06.068zbMath1410.65151OpenAlexW842487067MaRDI QIDQ670690

Changbum Chun, Beny Neta

Publication date: 18 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2015.06.068

zbMATH Keywords

basin of attractioniterative methodsorder of convergencemultiple roots

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (10)

Unnamed Item ⋮ Comparative study of methods of various orders for finding repeated roots of nonlinear equations ⋮ A new family of methods for single and multiple roots ⋮ Dynamic study of Schröder's families of first and second kind ⋮ On generalized Halley-like methods for solving nonlinear equations ⋮ Symbolic computation and computer graphics as tools for developing and studying new root-finding methods ⋮ Comparison of several families of optimal eighth order methods ⋮ A class of two-point sixth-order multiple-zero finders of modified double-Newton type and their dynamics ⋮ Comparing the geometry of the basins of attraction, the speed and the efficiency of several numerical methods ⋮ COMPARATIVE STUDY OF METHODS OF VARIOUS ORDERS FOR FINDING SIMPLE ROOTS OF NONLINEAR EQUATIONS

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