Several iterative methods with memory using self-accelerators

DOI10.1016/j.amc.2015.01.045zbMath1410.65177OpenAlexW2068296440MaRDI QIDQ1643385

Y. Aharonov

Publication date: 19 June 2018

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

Full work available at URL: https://doi.org/10.1016/j.amc.2015.01.045

zbMATH Keywords

iterative methodsR-ordertri-parametricwith memory

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (18)

Several two-point with memory iterative methods for solving nonlinear equations ⋮ On the Construction of Fast Steffensen-Type Iterative Methods for Nonlinear Equations ⋮ A new accelerating technique applied to a variant of Cordero-Torregrosa method ⋮ An Ostrowski-type method with memory using a novel self-accelerating parameter ⋮ A new family of adaptive methods with memory for solving nonlinear equations ⋮ A multidimensional generalization of some classes of free-derivative iterative methods to solve nonlinear equations ⋮ Dynamics of iterative families with memory based on weight functions procedure ⋮ Iterative methods for multiple roots with memory using self-accelerating technique ⋮ A modified Chebyshev–Halley‐type iterative family with memory for solving nonlinear equations and its stability analysis ⋮ On the local convergence of Kung-Traub's two-point method and its dynamics. ⋮ On the construction of some tri-parametric iterative methods with memory ⋮ IMPROVED BI-ACCELERATOR DERIVATIVE FREE WITH MEMORY FAMILY FOR SOLVING NONLINEAR EQUATIONS ⋮ Efficient four-parametric with-and-without-memory iterative methods possessing high efficiency indices ⋮ Unnamed Item ⋮ Stability and applicability of iterative methods with memory ⋮ Dynamical techniques for analyzing iterative schemes with memory ⋮ Unnamed Item ⋮ A family of Newton-type iterative methods using some special self-accelerating parameters

Cites Work

• Unnamed Item
• Multipoint methods for solving nonlinear equations: a survey
• A class of Steffensen type methods with optimal order of convergence
• An optimal Steffensen-type family for solving nonlinear equations
• Basins of attraction for various Steffensen-type methods
• Two optimal general classes of iterative methods with eighth-order
• On a fourth-order matrix method for computing polar decomposition
• Optimal Steffensen-type methods with eighth order of convergence
• A uniparametric family of three-step eighth-order multipoint iterative methods for simple roots
• Optimal Order of One-Point and Multipoint Iteration

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