A multidimensional dynamical approach to iterative methods with memory

DOI10.1016/j.amc.2015.09.056zbMath1410.65149OpenAlexW1791615232MaRDI QIDQ1732236

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

Publication date: 22 March 2019

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

Full work available at URL: http://hdl.handle.net/10234/158938

zbMATH Keywords

stabilitybifurcationbasin of attractionnonlinear equationsdynamical planeiterative method with memory

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05) Discrete version of topics in analysis (39A12) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Numerical computation of roots of polynomial equations (65H04)

Related Items (11)

King-type derivative-free iterative families: real and memory dynamics ⋮ 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 ⋮ 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 family of Kurchatov-type methods and its stability ⋮ A dynamical comparison between iterative methods with memory: are the derivatives good for the memory? ⋮ Stability and applicability of iterative methods with memory ⋮ Dynamical techniques for analyzing iterative schemes with memory ⋮ Some variants of Halley's method with memory and their applications for solving several chemical problems ⋮ Global dynamics of the real secant method

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