An analysis of a new family of eighth-order optimal methods
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Publication:278576
DOI10.1016/j.amc.2014.07.068zbMath1336.65081OpenAlexW1978117924MaRDI QIDQ278576
Publication date: 2 May 2016
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2014.07.068
Newton's methodbasin of attractioniterative methodsnonlinear equationsorder of convergenceextraneous fixed points
Related Items (24)
On the new family of optimal eighth order methods developed by Lotfi et al. ⋮ Comparative study of methods of various orders for finding repeated roots of nonlinear equations ⋮ The basins of attraction of Murakami's fifth order family of methods ⋮ Necessary and sufficient conditions for the convergence of two- and three-point Newton-type iterations ⋮ A new family of adaptive methods with memory for solving nonlinear equations ⋮ How good are methods with memory for the solution of nonlinear equations? ⋮ Full linear multistep methods as root-finders ⋮ Some new weighted eighth-order variants of Steffensen-King's type family for solving nonlinear equations and its dynamics ⋮ Ball comparison between two optimal eight-order methods under weak conditions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Two bi-accelerator improved with memory schemes for solving nonlinear equations ⋮ A biparametric extension of King's fourth-order methods and their dynamics ⋮ A sixth-order family of three-point modified Newton-like multiple-root finders and the dynamics behind their extraneous fixed points ⋮ Dynamics and fractal dimension of Steffensen-type methods ⋮ Comparison of several families of optimal eighth order methods ⋮ A class of two-point sixth-order multiple-zero finders of modified double-Newton type and their dynamics ⋮ Generating function method for constructing new iterations ⋮ On a general class of optimal order multipoint methods for solving nonlinear equations ⋮ Comparative study of eighth-order methods for finding simple roots of nonlinear equations ⋮ Efficient two-step derivative-free iterative methods with memory and their dynamics ⋮ A novel family of weighted-Newton optimal eighth order methods with dynamics ⋮ Unnamed Item ⋮ COMPARATIVE STUDY OF METHODS OF VARIOUS ORDERS FOR FINDING SIMPLE ROOTS OF NONLINEAR EQUATIONS
Cites Work
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- 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
- On a family of Laguerre methods to find multiple roots of nonlinear equations
- A new sixth-order scheme for 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
- Basins of attraction for several optimal fourth order methods for multiple roots
- Chaos in King's iterative family
- Basins of attraction for optimal eighth order methods to find simple roots of nonlinear equations
- 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
- A Family of Fourth Order Methods for Nonlinear Equations
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