A stable family with high order of convergence for solving nonlinear equations
From MaRDI portal
Publication:1643368
DOI10.1016/j.amc.2014.12.141zbMath1410.65154OpenAlexW2011098378MaRDI QIDQ1643368
Alicia Cordero, Taher Lotfi, Katayoun Mahdiani, Juan Ramón Torregrosa Sánchez
Publication date: 19 June 2018
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10251/64694
stabilitybasin of attractionnonlinear equationsparameter spaceefficiency indexoptimal iterative methods
Related Items
A reliable algorithm to check the accuracy of iterative schemes for solving nonlinear equations: an application of the CESTAC method ⋮ A stable class of improved second-derivative free Chebyshev-Halley type methods with optimal eighth order convergence ⋮ Dynamic study of Schröder's families of first and second kind ⋮ On developing a stable and quadratic convergent method for solving absolute value equation ⋮ On the local convergence of Kung-Traub's two-point method and its dynamics. ⋮ On the construction of some tri-parametric iterative methods with memory ⋮ A biparametric extension of King's fourth-order methods and their dynamics ⋮ A general class of one-parametric with memory method for solving nonlinear equations ⋮ Efficacy of optimal methods for nonlinear equations with chemical engineering applications
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An improvement of Chebyshev-Halley methods free from second derivative
- Different anomalies in a Jarratt family of iterative root-finding methods
- On optimal fourth-order iterative methods free from second derivative and their dynamics
- Basin attractors for various methods
- Study of iterative methods through the Cayley quadratic test
- A construction of attracting periodic orbits for some classical third-order iterative methods
- Three-step iterative methods with eighth-order convergence for solving nonlinear equations
- Families of rational maps and iterative root-finding algorithms
- Some modifications of King's family with optimal eighth order of convergence
- Chaos in King's iterative family
- A new family of eighth-order iterative methods for solving nonlinear equations
- Basins of attraction for optimal eighth order methods to find simple roots of 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
- A new family of higher order methods for solving equations
- On the efficiency of algorithms of analysis
- Optimal Order of One-Point and Multipoint Iteration
- Some Fourth Order Multipoint Iterative Methods for Solving Equations
- A Family of Fourth Order Methods for Nonlinear Equations
- A note on \(Q\)-order of convergence
This page was built for publication: A stable family with high order of convergence for solving nonlinear equations
