The link on extraneous non-repelling cycles of Schröder's methods of the first and second kind
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Publication:6198299
DOI10.1016/j.jmaa.2023.128071OpenAlexW4390562374MaRDI QIDQ6198299
Saminathan Ponnusamy, Unnamed Author
Publication date: 21 February 2024
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2023.128071
Dynamical systems over complex numbers (37Fxx) Nonlinear algebraic or transcendental equations (65Hxx) Entire and meromorphic functions of one complex variable, and related topics (30Dxx)
Cites Work
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- Extraneous fixed points, basin boundaries and chaotic dynamics for Schröder and König rational iteration functions
- Families of rational maps and iterative root-finding algorithms
- On rediscovered iteration methods for solving equations
- A basic family of iteration functions for polynomial root finding and its characterizations
- On extraneous fixed-points of the basic family of iteration functions
- Dynamic study of Schröder's families of first and second kind
- Dynamics and limiting behavior of Julia sets of König's method for multiple roots
- Prescribed cycles of König's method for polynomials
- Polynomial and rational approximations and the link between Schröder's processes of the first and second kind
- Superattracting extraneous fixed points and \(n\)-cycles for Chebyshev's method on cubic polynomials
- Regions of convergence and dynamics of Schröder-like iteration formulae as applied to complex polynomial equations with multiple roots
- Finite pairs of prescribed cycles of König's and Steffensen's methods for entire functions
- Estimating convergence regions of Schröder's iteration formula: how the Julia set shrinks to the Voronoi boundary
- Constructing attracting cycles for Halley and Schröder maps of polynomials
- On Schröder's families of root-finding methods
- Specifying attracting cycles for Newton maps of polynomials
- Julia Sets and Mandelbrot-Like Sets Associated With Higher Order Schroder Rational Iteration Functions: A Computer Assisted Study
- Generalized Computation of Schröder Iteration Functions To Motivate Families of Julia and Mandelbrot-Like Sets
- On K nig's root-finding algorithms*
- HOW IS THE DYNAMICS OF KÖNIG ITERATION FUNCTIONS AFFECTED BY THEIR ADDITIONAL FIXED POINTS?
- Dynamics in One Complex Variable. (AM-160)
- Schröder iteration functions associated with a one-parameter family of biquadratic polynomials
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