Extraneous fixed points of Euler iteration and corresponding Sullivan's basin

DOI10.1007/BF02878709zbMath1006.65045OpenAlexW1482782466MaRDI QIDQ1609638

Danfu Han, Xinghua Wang

Publication date: 15 August 2002

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02878709

zbMATH Keywords

Newton methodpolynomial rootextraneous fixed pointEuler iteration

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (6)

Uniform convergence of higher order quasi Hermite-Fejér interpolation ⋮ Two-square theorems for infinite matrices on certain fields ⋮ Adaptive robust control of nonholonomic systems with stochastic disturbances ⋮ Local and global behavior for algorithms of solving equations ⋮ Output-feedback control of a class of high-order stochastic nonlinear systems ⋮ An iteration method with maximal order based on standard information

Cites Work

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• On the iteration of a rational function: Computer experiments with Newton's method
• Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains
• Extraneous fixed points, basin boundaries and chaotic dynamics for Schröder and König rational iteration functions
• Families of rational maps and iterative root-finding algorithms
• Complex analytic dynamics on the Riemann sphere
• On the efficiency of algorithms of analysis
• Julia Sets and Mandelbrot-Like Sets Associated With Higher Order Schroder Rational Iteration Functions: A Computer Assisted Study

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