Some new bi-accelerator two-point methods for solving nonlinear equations

DOI10.1007/s40314-014-0192-1zbMath1342.65126OpenAlexW1991723770MaRDI QIDQ291389

Katayoun Mahdiani, Taher Lotfi, Alicia Cordero, Paria Assari, Juan Ramón Torregrosa Sánchez

Publication date: 7 June 2016

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

Full work available at URL: https://doi.org/10.1007/s40314-014-0192-1

zbMATH Keywords

convergence accelerationnumerical experimentsbasin of attractionefficiency indexdynamical plane\(R\) order of convergencederivative-free methodKung and Traub's conjecturemulti-point iterative methodswith and without memory methods

Mathematics Subject Classification ID

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

Related Items (7)

Widening basins of attraction of optimal iterative methods ⋮ A new family of adaptive methods with memory for solving nonlinear equations ⋮ On the local convergence of Kung-Traub's two-point method and its dynamics. ⋮ Unnamed Item ⋮ New three- and four-parametric iterative with memory methods with efficiency index near 2 ⋮ A study on the local convergence and dynamics of the two-step and derivative-free Kung-Traub's method ⋮ Creating a new two-step recursive memory method with eight-order based on Kung and Traub’s method

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