Comparative study of eighth-order methods for finding simple roots of nonlinear equations
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Publication:521932
DOI10.1007/S11075-016-0191-YzbMath1362.65054OpenAlexW2511950701MaRDI QIDQ521932
Publication date: 12 April 2017
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-016-0191-y
numerical examplesbasin of attractioniterative methodsnonlinear equationsorder of convergencesimple rootsextraneous fixed points
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Cites Work
- Unnamed Item
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- Different anomalies in a Jarratt family of iterative root-finding methods
- An analysis of a new family of eighth-order optimal methods
- On the new family of optimal eighth order methods developed by Lotfi et al.
- On the convergence of an optimal fourth-order family of methods and its dynamics
- An analysis of a family of Maheshwari-based optimal eighth order methods
- The basins of attraction of Murakami's fifth order family of methods
- On improved three-step schemes with high efficiency index and their dynamics
- On optimal fourth-order iterative methods free from second derivative and their dynamics
- Basin attractors for various methods
- Basins of attraction for several methods to find simple roots of nonlinear equations
- A family of optimal three-point methods for solving nonlinear equations using two parametric functions
- Construction of optimal order nonlinear solvers using inverse interpolation
- A family of modified Ostrowski's methods with optimal eighth order of convergence
- A new family of optimal eighth order methods with dynamics for nonlinear equations
- Comparison of several families of optimal eighth order methods
- A new eighth-order iterative method for solving nonlinear equations
- A new general eighth-order family of iterative methods for solving nonlinear equations
- Some eighth-order root-finding three-step methods
- Eighth-order methods with high efficiency index for solving nonlinear equations
- A family of three-point methods of optimal order for solving nonlinear equations
- A new optimal eighth-order family of iterative methods for the solution of nonlinear equations
- Modified Ostrowski's method with eighth-order convergence and high efficiency index
- New eighth-order iterative methods for solving nonlinear equations
- Three-step iterative methods with eighth-order convergence for solving nonlinear equations
- A fourth order iterative method for solving nonlinear equations
- Dynamics of the King and Jarratt iterations
- Dynamics of a family of third-order iterative methods that do not require using second derivatives
- Improved King's methods with optimal order of convergence based on rational approximations
- Accelerated iterative methods for finding solutions of nonlinear equations and their dynamical behavior
- A new class of three-point methods with optimal convergence order eight and its dynamics
- Chaos in King's iterative family
- An efficient family of weighted-Newton methods with optimal eighth order convergence
- 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
- Choosing weight functions in iterative methods for simple roots
- A uniparametric family of three-step eighth-order multipoint iterative methods for simple roots
- Three-step iterative methods with optimal eighth-order convergence
- Complex dynamics of derivative-free methods for nonlinear equations
- On a family of multipoint methods for non-linear equations
- Optimal Order of One-Point and Multipoint Iteration
- Some efficient fourth order multipoint methods for solving equations
- A new family of modified Ostrowski's methods with accelerated eighth order convergence
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