Newton method for symmetric quartic polynomial

DOI10.1016/j.amc.2016.06.021zbMath1410.65138OpenAlexW2491638982MaRDI QIDQ1733704

Xavier Jarque, Antonio Garijo, Beatriz Campos, Pura Vindel

Publication date: 21 March 2019

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

Full work available at URL: http://hdl.handle.net/10234/161960

zbMATH Keywords

Newton's methodholomorphic dynamicsJulia and Fatou sets

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Numerical computation of roots of polynomial equations (65H04)

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Cites Work

• On the connectivity of the Julia sets of meromorphic functions
• Families of rational maps and iterative root-finding algorithms
• Complex dynamics
• On local connectivity for the Julia set of rational maps: Newton's famous example
• Dynamics of the family of c-iterative methods
• Dynamics in One Complex Variable. (AM-160)
• How to find all roots of complex polynomials by Newton's method.
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