Comparative study of methods of various orders for finding repeated roots of nonlinear equations
From MaRDI portal
Publication:1636744
DOI10.1016/j.cam.2018.02.009zbMath1432.65059OpenAlexW2795207786WikidataQ130114170 ScholiaQ130114170MaRDI QIDQ1636744
Publication date: 12 June 2018
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.2018.02.009
Related Items (7)
Unnamed Item ⋮ Construction and Dynamics of Efficient High-Order Methods for Nonlinear Systems ⋮ Two‐step iterative methods for multiple roots and their applications for solving several physical and chemical problems ⋮ Computer visualization and dynamic study of new families of root-solvers ⋮ Comparing the geometry of the basins of attraction, the speed and the efficiency of several numerical methods ⋮ DYNAMICAL ANALYSIS TO EXPLAIN THE NUMERICAL ANOMALIES IN THE FAMILY OF ERMAKOV-KALITLIN TYPE METHODS ⋮ Convergence analysis of the modified Chebyshev's method for finding multiple roots
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Different anomalies in a Jarratt family of iterative root-finding methods
- A general family of third order method for finding multiple roots
- 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
- The basins of attraction of Murakami's fifth order family of methods
- 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
- 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
- Constructing higher-order methods for obtaining the multiple roots of nonlinear equations
- Comparison of several families of optimal eighth order methods
- Comparing the basins of attraction for Kanwar-Bhatia-Kansal family to the best fourth order method
- Basins of attraction for several third order methods to find multiple roots of nonlinear equations
- A class of two-point sixth-order multiple-zero finders of modified double-Newton type and their dynamics
- Constructing a family of optimal eighth-order modified Newton-type multiple-zero finders along with the dynamics behind their purely imaginary extraneous fixed points
- Recurrence relations for rational cubic methods. II: The Chebyshev method
- New optimal class of higher-order methods for multiple roots, permitting \(f'(x_{n})=0\)
- New third order nonlinear solvers for multiple roots
- New families of nonlinear third-order solvers for finding multiple roots
- Some fourth-order nonlinear solvers with closed formulae for multiple roots
- A third-order modification of Newton's method for multiple roots
- Cubic convergence of parameter-controlled Newton-secant method for multiple zeros
- A family of root finding methods
- An optimal multiple root-finding method of order three
- On developing a higher-order family of double-Newton methods with a bivariate weighting function
- A sixth-order family of three-point modified Newton-like multiple-root finders and the dynamics behind their extraneous fixed points
- 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 Zhou-Chen-song fourth order family of methods for multiple roots
- A family of optimal quartic-order multiple-zero finders with a weight function of the principal \(k\)th root of a derivative-to-derivative ratio and their basins of attraction
- Basins of attraction for several optimal fourth order methods for multiple roots
- Chaos in King's iterative family
- On Newton-type methods for multiple roots with cubic convergence
- Basins of attraction for optimal eighth order methods to find simple roots of nonlinear equations
- Choosing weight functions in iterative methods for simple roots
- Complex dynamics of derivative-free methods for nonlinear equations
- High-order nonlinear solver for multiple roots
- Convergence of the Newton process to multiple solutions
- Extension of Murakami's high-order non-linear solver to multiple roots
- A family of multiopoint iterative functions for finding multiple roots of equations
- A family of one-point iteration formulae for finding roots
- A higher order method for multiple zeros of nonlinear functions
- Optimal Order of One-Point and Multipoint Iteration
- Technical Notes and Short Papers
This page was built for publication: Comparative study of methods of various orders for finding repeated roots of nonlinear equations
