An analysis of a Khattri's 4th order family of methods

DOI10.1016/J.AMC.2016.01.025zbMath1410.65153OpenAlexW2295172373MaRDI QIDQ671115

Publication date: 20 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2016.01.025

zbMATH Keywords

basin of attraction iterative methods order of convergence extraneous fixed points

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05) Iteration theory, iterative and composite equations (39B12)

Related Items (1)

COMPARATIVE STUDY OF METHODS OF VARIOUS ORDERS FOR FINDING SIMPLE ROOTS OF NONLINEAR EQUATIONS

Cites Work

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Different anomalies in a Jarratt family of iterative root-finding methods
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Basin attractors for various methods
Basin attractors for various methods for multiple roots
Basins of attraction for several methods to find simple roots of nonlinear equations
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A family of three-point methods of optimal order for solving nonlinear equations
Modified Ostrowski's method with eighth-order convergence and high efficiency index
Extraneous fixed points, basin boundaries and chaotic dynamics for Schröder and König rational iteration functions
On extraneous fixed-points of the basic family of iteration functions
Dynamics of the King and Jarratt iterations
Dynamics of a family of third-order iterative methods that do not require using second derivatives
Basins of attraction for Zhou-Chen-song fourth order family of methods for multiple roots
Basins of attraction for several optimal fourth order methods for multiple roots
Real qualitative behavior of a fourth-order family of iterative methods by using the convergence plane
Chaos in King's iterative family
Basins of attraction for optimal eighth order methods to find simple roots of nonlinear equations
Choosing weight functions in iterative methods for simple roots
Complex dynamics of derivative-free methods for nonlinear equations
On a family of multipoint methods for non-linear equations
A sixth-order family of methods for nonlinear equations
Optimal Order of One-Point and Multipoint Iteration
A Family of Fourth Order Methods for Nonlinear Equations

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