A triparametric family of optimal fourth-order multiple-root finders and their dynamics
From MaRDI portal
Publication:2314736
DOI10.1155/2016/8436759zbMath1418.65067OpenAlexW2320467171WikidataQ59123676 ScholiaQ59123676MaRDI QIDQ2314736
Publication date: 30 July 2019
Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2016/8436759
Numerical computation of solutions to single equations (65H05) Iteration theory, iterative and composite equations (39B12)
Related Items (2)
Stability analysis of a family of optimal fourth-order methods for multiple roots ⋮ Modified optimal class of Newton-like fourth-order methods for multiple roots
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the convergence of an optimal fourth-order family of methods and its dynamics
- On a numerical technique for finding multiple zeros and its dynamic
- Basin attractors for various methods
- Three-point methods with and without memory for solving nonlinear equations
- On some modified families of multipoint iterative methods for multiple roots of nonlinear equations
- Basins of attraction for several methods to find simple roots of nonlinear equations
- One-point Newton-type iterative methods: a unified point of view
- Basin of attraction of a cusp-fold singularity in 3D piecewise smooth vector fields
- Constructing higher-order methods for obtaining the multiple roots of nonlinear equations
- Modified Jarratt method for computing multiple roots
- A new fourth-order iterative method for finding multiple roots of nonlinear equations
- New optimal class of higher-order methods for multiple roots, permitting \(f'(x_{n})=0\)
- Some fourth-order nonlinear solvers with closed formulae for multiple roots
- 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
- On developing fourth-order optimal families of methods for multiple roots and their dynamics
- Dynamics of the King and Jarratt iterations
- Basins of attraction in forced systems with time-varying dissipation
- 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
- A new biparametric family of two-point optimal fourth-order multiple-root finders
- Chaos in King's iterative family
- A two-parameter family of fourth-order iterative methods with optimal convergence for multiple zeros
- Complex dynamics of derivative-free methods for nonlinear equations
- Convergence of the Newton process to multiple solutions
- Optimal Order of One-Point and Multipoint Iteration
This page was built for publication: A triparametric family of optimal fourth-order multiple-root finders and their dynamics