A biparametric extension of King's fourth-order methods and their dynamics
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Publication:1731091
DOI10.1016/j.amc.2016.02.020zbMath1410.65157OpenAlexW2306328142MaRDI QIDQ1731091
Young Ik Kim, Young Hee Geum, Ángel Alberto Magreñán
Publication date: 20 March 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2016.02.020
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Cites Work
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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
- An optimal fourth-order family of methods for multiple roots and its dynamics
- On the convergence of an optimal fourth-order family of methods and its dynamics
- On spectral methods for variance based sensitivity analysis
- On optimal fourth-order iterative methods free from second derivative and their dynamics
- Three-point methods with and without memory for solving nonlinear equations
- Basins of attraction for several methods to find simple roots of nonlinear equations
- Fourth-order iterative methods free from second derivative
- A fourth order iterative method for solving nonlinear equations
- The Jarratt method in Banach space setting
- A stable family with high order of convergence for solving nonlinear equations
- On developing a higher-order family of double-Newton methods with a bivariate weighting function
- On developing fourth-order optimal families of methods for multiple roots and their dynamics
- Dynamics of the King and Jarratt iterations
- Dynamics of a family of third-order iterative methods that do not require using second derivatives
- Real qualitative behavior of a fourth-order family of iterative methods by using the convergence plane
- Chaos in King's iterative family
- Certain improvements of Chebyshev-Halley methods with accelerated fourth-order convergence
- Some variants of King's fourth-order family of methods for nonlinear equations
- Some variants of Hansen-Patrick method with third and fourth order convergence
- Complex dynamics of derivative-free methods for nonlinear equations
- Some second-derivative-free variants of super-Halley method with fourth-order convergence
- Optimal Order of One-Point and Multipoint Iteration
- Multipoint Iterative Methods for Solving Certain Equations
- Some efficient fourth order multipoint methods for solving equations
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