Stability of King's family of iterative methods with memory

DOI10.1016/J.CAM.2016.01.035zbMath1373.37194OpenAlexW2257288691MaRDI QIDQ507922

Pura Vindel, Alicia Cordero, Beatriz Campos, Juan Ramón Torregrosa Sánchez

Publication date: 9 February 2017

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

Full work available at URL: http://hdl.handle.net/10251/105507

zbMATH Keywords

stabilitybasin of attractionnonlinear equationdynamical planeiterative method with memory

Mathematics Subject Classification ID

Dynamical systems in numerical analysis (37N30) Numerical computation of roots of polynomial equations (65H04)

Related Items (16)

On modified two-step iterative method in the fractional sense: some applications in real world phenomena ⋮ King-type derivative-free iterative families: real and memory dynamics ⋮ An improvement of the Kurchatov method by means of a parametric modification ⋮ A significant improvement of a family of secant-type methods ⋮ Dynamics of iterative families with memory based on weight functions procedure ⋮ A modified Chebyshev–Halley‐type iterative family with memory for solving nonlinear equations and its stability analysis ⋮ An efficient family of two-step with-memory methods with convergence order 6 and their dynamics ⋮ Unnamed Item ⋮ Efficient four-parametric with-and-without-memory iterative methods possessing high efficiency indices ⋮ Avoiding strange attractors in efficient parametric families of iterative methods for solving nonlinear problems ⋮ A general class of one-parametric with memory method for solving nonlinear equations ⋮ Stability of King's family of iterative methods with memory ⋮ Stability and applicability of iterative methods with memory ⋮ Dynamical techniques for analyzing iterative schemes with memory ⋮ Unnamed Item ⋮ Some variants of Halley's method with memory and their applications for solving several chemical problems

Cites Work

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• On generalized multipoint root-solvers with memory
• Three-point methods with and without memory for solving nonlinear equations
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• Solving nondifferentiable nonlinear equations by new Steffensen-type iterative methods with memory
• New mono- and biaccelerator iterative methods with memory for nonlinear equations
• A new family of Newton-type iterative methods with and without memory for solving nonlinear equations
• An efficient two-parametric family with memory for nonlinear equations
• On an Efficient Family of Simultaneous Methods for Finding Polynomial Multiple Zeros
• A Family of Fourth Order Methods for Nonlinear Equations

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