Dynamic study of Schröder's families of first and second kind
From MaRDI portal
Publication:1652796
DOI10.1007/s11075-017-0403-0zbMath1391.65141OpenAlexW2749388583MaRDI QIDQ1652796
Ljiljana D. Petković, Miodrag S. Petković
Publication date: 16 July 2018
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-017-0403-0
Related Items (4)
Regions of convergence and dynamics of Schröder-like iteration formulae as applied to complex polynomial equations with multiple roots ⋮ The link on extraneous non-repelling cycles of Schröder's methods of the first and second kind ⋮ Estimating convergence regions of Schröder's iteration formula: how the Julia set shrinks to the Voronoi boundary ⋮ Computer tools for the construction and analysis of some efficient root-finding simultaneous methods
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the convergence of an optimal fourth-order family of methods and its 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
- Stability study of eighth-order iterative methods for solving nonlinear equations
- Basins of attraction for several third order methods to find multiple roots of nonlinear equations
- Graphic and numerical comparison between iterative methods
- On an application of symbolic computation and computer graphics to root-finders: the case of multiple roots of unknown multiplicity
- Point estimation of root finding methods
- Extraneous fixed points, basin boundaries and chaotic dynamics for Schröder and König rational iteration functions
- On rediscovered iteration methods for solving equations
- On extraneous fixed-points of the basic family of iteration functions
- A stable family with high order of convergence 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 Zhou-Chen-song fourth order family of methods for multiple roots
- Basins of attraction for several optimal fourth order methods for multiple roots
- Real qualitative behavior of a fourth-order family of iterative methods by using the convergence plane
- Complex dynamics of derivative-free methods for nonlinear equations
- Dynamics of a family of Chebyshev-Halley type methods
- Multivariate Rational Approximation
- Uniform rational approximation of the classV r and its applications
- On K nig's root-finding algorithms*
- Faster Algorithms via Approximation Theory
- Über eine Verallgemeinerung des Newtonschen Näherungsverfahrens
- A note on \(Q\)-order of convergence
This page was built for publication: Dynamic study of Schröder's families of first and second kind
