Dynamics of the Newton maps of rational functions

DOI10.1007/s41478-021-00304-xzbMath1479.37041OpenAlexW3126094448MaRDI QIDQ2047360

G. Brock Williams, Erin Williams, Roger W. Barnard, Jerry Dwyer

Publication date: 19 August 2021

Published in: The Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41478-021-00304-x

zbMATH Keywords

rational functionscomplex dynamicsNewton map

Mathematics Subject Classification ID

General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Dynamical systems in numerical analysis (37N30)

Related Items (1)

Conjugacies of the Newton maps of rational functions

Cites Work

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• Newton's method and complex dynamical systems
• Invariant sets under iteration of rational functions
• Looking at the Mandelbrot Set
• On K nig's root-finding algorithms*
• Fixpoints of Polynomials and Rational Functions

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