The Construction of Rational Iterating Functions

DOI10.2307/2006487zbMath0388.30003OpenAlexW4256446357MaRDI QIDQ4169589

W. F. Smyth

Publication date: 1978

Full work available at URL: https://doi.org/10.2307/2006487

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Iterative numerical methods for linear systems (65F10) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials and rational functions of one complex variable (30C10)

Related Items (2)

Extraneous fixed points, basin boundaries and chaotic dynamics for Schröder and König rational iteration functions ⋮ Attractive cycles in the iteration of meromorphic functions

Cites Work

• The Use of Rational Functions in the Iterative Solution of Equations on a Digital Computer
• Schröder and Trudi: A Historical Excursion
• On the Iteration of analytic functions .
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