Attractive cycles in the iteration of meromorphic functions

DOI10.1007/BF01389489zbMath0541.30016OpenAlexW2094876055MaRDI QIDQ794795

James Lucien Howland, Rémi Vaillancourt

Publication date: 1985

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132999

zbMATH Keywords

attractive cyclesmeromorphic functioniteration of rational functions

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Numerical computation of solutions to single equations (65H05) Software, source code, etc. for problems pertaining to functions of a complex variable (30-04)

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Cites Work

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• Invariant sets under iteration of rational functions
• The Construction of Rational Iterating Functions
• Extended Aitken acceleration
• On the Iteration of analytic functions .