Convergence and dynamics of structurally identical root finding methods
From MaRDI portal
Publication:2012637
DOI10.1016/j.apnum.2017.06.006zbMath1370.65023OpenAlexW2623853337MaRDI QIDQ2012637
Viriato Semião, Mário Basto, Teresa Abreu, Francisco L. Calheiros
Publication date: 1 August 2017
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2017.06.006
iterative methodsnonlinear equationsorder of convergencebasins of attractionHalley methodEuler-Chebyshev's method
Related Items (2)
Construction of stable and globally convergent schemes for the matrix sign function ⋮ An optimal thirty-second-order iterative method for solving nonlinear equations and a conjecture
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the development of iterative methods for multiple roots
- On optimal fourth-order iterative methods free from second derivative and their dynamics
- Basin attractors for various methods
- Three-point methods with and without memory for solving nonlinear equations
- Basin attractors for various methods for multiple roots
- Basins of attraction for several methods to find simple roots of nonlinear equations
- A comparison between iterative methods by using the basins of attraction
- Graphic and numerical comparison between iterative methods
- Numerical comparison of iterative methods for solving nonlinear equations
- On iterative methods for nonlinear equations
- A new optimal eighth-order family of iterative methods for the solution of nonlinear equations
- Newton's method and complex dynamical systems
- Solving frontier problems of physics: the decomposition method
- Improving Newton-Raphson method for nonlinear equations by modified Adomian decomposition method
- Dynamics of the King and Jarratt iterations
- On the order of convergence of Adomian method.
- Solution of nonlinear equations by modified Adomian decomposition method
- Basins of attraction for optimal eighth order methods to find simple roots of nonlinear equations
- Choosing weight functions in iterative methods for simple roots
- On a family of Halley-like methods to find simple roots of nonlinear equations
- Contrasts in the basins of attraction of structurally identical iterative root finding methods
- A new iterative method to compute nonlinear equations
- A new iterative method for solving nonlinear equations
This page was built for publication: Convergence and dynamics of structurally identical root finding methods
