An eighth-order family of optimal multiple root finders and its dynamics

DOI10.1007/s11075-017-0361-6zbMath1402.65042OpenAlexW2628846632MaRDI QIDQ1744052

Ramandeep Behl, Sandile S. Motsa, Alicia Cordero, Juan Ramón Torregrosa Sánchez

Publication date: 16 April 2018

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10251/121735

zbMATH Keywords

nonlinear equationsmultiple rootsefficiency indexKung-Traub conjectureoptimal iterative methods

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (16)

Optimal iterative methods for finding multiple roots of nonlinear equations using free parameters ⋮ A stable class of modified Newton-like methods for multiple roots and their dynamics ⋮ An excellent derivative-free multiple-zero finding numerical technique of optimal eighth order convergence ⋮ Unified semi-local convergence for \(k\)-step iterative methods with flexible and frozen linear operator ⋮ Optimal iterative methods for finding multiple roots of nonlinear equations using weight functions and dynamics ⋮ An optimal eighth order derivative free multiple root finding numerical method and applications to chemistry ⋮ An optimal reconstruction of Chebyshev-Halley type methods for nonlinear equations having multiple zeros ⋮ Iterative methods for multiple roots with memory using self-accelerating technique ⋮ On the local convergence of Kung-Traub's two-point method and its dynamics. ⋮ Construction and efficiency of multipoint root-ratio methods for finding multiple zeros ⋮ Constructing a family of optimal eighth-order modified Newton-type multiple-zero finders along with the dynamics behind their purely imaginary extraneous fixed points ⋮ Unnamed Item ⋮ An excellent numerical technique for multiple roots ⋮ A family of optimal eighth order iteration functions for multiple roots and its dynamics ⋮ Optimal eighth-order iterative methods for approximating multiple zeros of nonlinear functions ⋮ An efficient family of optimal eighth-order multiple root finders

Cites Work

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