Dynamical techniques for analyzing iterative schemes with memory

DOI10.1155/2018/1232341zbMath1398.65098OpenAlexW2810694964WikidataQ129646904 ScholiaQ129646904MaRDI QIDQ1784916

Alicia Cordero, Neha Choubey, Juan Ramón Torregrosa Sánchez, Jai Prakash Jaiswal

Publication date: 27 September 2018

Published in: Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/1232341

zbMATH Keywords

Hermite interpolating polynomialbiparametric three-point method with memoryestimations of self-accelerating parameters

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (2)

Family of multipoint with memory iterative schemes for solving nonlinear equations ⋮ A general class of one-parametric with memory method for solving nonlinear equations

Cites Work

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• On the election of the damped parameter of a two-step relaxed Newton-type method
• Some optimal iterative methods and their with memory variants
• Multipoint methods for solving nonlinear equations: a survey
• Stability of King's family of iterative methods with memory
• Geometrically constructed families of Newton's method for unconstrained optimization and nonlinear equations
• Efficient \(n\)-point iterative methods with memory for solving nonlinear equations
• A new optimal eighth-order family of iterative methods for the solution of nonlinear equations
• On the construction of some tri-parametric iterative methods with memory
• On the local convergence and the dynamics of Chebyshev-Halley methods with six and eight order of convergence
• A two-dimensional mapping with a strange attractor
• Several iterative methods with memory using self-accelerators
• A biparametric extension of King's fourth-order methods and their dynamics
• A multidimensional dynamical approach to iterative methods with memory
• A family of Kurchatov-type methods and its stability
• A new family of Newton-type iterative methods with and without memory for solving nonlinear equations
• On an efficient family of derivative free three-point methods for solving nonlinear equations
• On generalized biparametric multipoint root finding methods with memory
• An efficient two-parametric family with memory for nonlinear equations
• Basins of attraction for optimal eighth order methods to find simple roots of nonlinear equations
• SOME NEWTON-TYPE ITERATIVE METHODS WITH AND WITHOUT MEMORY FOR SOLVING NONLINEAR EQUATIONS
• Complex analytic dynamics on the Riemann sphere
• Construction of Tri-parametric derivative free fourth order with and without memory iterative method
• Optimal Order of One-Point and Multipoint Iteration
• A family of two-point methods with memory for solving nonlinear equations
• Iterative Solution of Nonlinear Equations in Several Variables
• A note on \(Q\)-order of convergence

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