A stable class of improved second-derivative free Chebyshev-Halley type methods with optimal eighth order convergence

DOI10.1007/s11075-015-0075-6zbMath1347.65097OpenAlexW2267130116MaRDI QIDQ306360

Vinay Kanwar, Munish Kansal, Alicia Cordero, Juan Ramón Torregrosa Sánchez

Publication date: 31 August 2016

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

Full work available at URL: https://doi.org/10.1007/s11075-015-0075-6

zbMATH Keywords

convergencenumerical examplesNewton methodnonlinear equationscomplex dynamicsstability functionsefficiency indexKung-Traub conjectureChebyshev-Halley schemedynamical planesoptimal iterative schemes

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05) Complexity and performance of numerical algorithms (65Y20)

Related Items (5)

Eighth order family of iterative methods for nonlinear equations and their basins of attraction ⋮ An optimal reconstruction of Chebyshev-Halley type methods for nonlinear equations having multiple zeros ⋮ Multi-step preconditioned Newton methods for solving systems of nonlinear equations ⋮ Frozen Jacobian multistep iterative method for solving nonlinear IVPs and BVPs ⋮ Higher-order modification of Steffensen's method for solving system of nonlinear equations

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