Constructing attracting periodic orbits of three third-order iterative methods

DOI10.1016/j.amc.2003.12.056zbMath1070.65033OpenAlexW2070946373MaRDI QIDQ1763328

Sonia Busquier, Sergio Plaza, Sergio Amat

Publication date: 22 February 2005

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2003.12.056

zbMATH Keywords

polynomialsIterative methodscomplex dynamicsAttracting periodic orbitsRational maps

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Cites Work

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• Complex analytic dynamics on the Riemann sphere
• Julia Sets and Mandelbrot-Like Sets Associated With Higher Order Schroder Rational Iteration Functions: A Computer Assisted Study
• Attracting Orbits in Newton's Method