Stability study of eighth-order iterative methods for solving nonlinear equations
From MaRDI portal
Publication:491050
DOI10.1016/j.cam.2015.01.006zbMath1329.65100OpenAlexW1999332916MaRDI QIDQ491050
Alicia Cordero, Carlos Quemada, Juan Ramón Torregrosa Sánchez, Ángel Alberto Magreñán
Publication date: 24 August 2015
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2015.01.006
Related Items (20)
Ball convergence of a sixth-order Newton-like method based on means under weak conditions ⋮ Ball convergence theorems for Maheshwari-type eighth-order methods under weak conditions ⋮ Dynamic study of Schröder's families of first and second kind ⋮ A family of higher order iterations free from second derivative for nonlinear equations in \(\mathbb{R}\) ⋮ Ball convergence theorems for eighth-order variants of Newton's method under weak conditions ⋮ Local and semi-local convergence for Chebyshev two point like methods with applications in different fields ⋮ An efficient optimal family of sixteenth order methods for nonlinear models ⋮ Ball comparison between two optimal eight-order methods under weak conditions ⋮ Editorial: Mathematical modeling and computational methods ⋮ Symbolic computation and computer graphics as tools for developing and studying new root-finding methods ⋮ A study on the local convergence and dynamics of the two-step and derivative-free Kung-Traub's method ⋮ Dynamics of subfamilies of Ostrowski-Chun methods ⋮ On the convergence, dynamics and applications of a new class of nonlinear system solvers ⋮ Mean-based iterative methods for finding multiple roots in nonlinear chemistry problems ⋮ Local convergence of fourth and fifth order parametric family of iterative methods in Banach spaces ⋮ Local convergence comparison between frozen Kurchatov and Schmidt-Schwetlick-Kurchatov solvers with applications ⋮ Local results for an iterative method of convergence order six and efficiency index 1.8171 ⋮ Local convergence for an efficient eighth order iterative method with a parameter for solving equations under weak conditions ⋮ Some higher-order iteration functions for solving nonlinear models ⋮ DYNAMICS OF A FAMILY OF RATIONAL OPERATORS OF ARBITRARY DEGREE
Cites Work
- Unnamed Item
- Unnamed Item
- On optimal fourth-order iterative methods free from second derivative and their dynamics
- Basin attractors for various methods
- Basin attractors for various methods for multiple roots
- Study of iterative methods through the Cayley quadratic test
- A construction of attracting periodic orbits for some classical third-order iterative methods
- Dynamics of a new family of iterative processes for quadratic polynomials
- Families of rational maps and iterative root-finding algorithms
- Chaos in King's iterative family
- Basins of attraction for optimal eighth order methods to find simple roots of nonlinear equations
- Attracting cycles for the relaxed Newton's method
- Complex dynamics of derivative-free methods for nonlinear equations
- Dynamics of a family of Chebyshev-Halley type methods
- The Mandelbrot Set, the Farey Tree, and the Fibonacci Sequence
- Complex analytic dynamics on the Riemann sphere
- On the efficiency of algorithms of analysis
This page was built for publication: Stability study of eighth-order iterative methods for solving nonlinear equations
