JULIA SET OF THE NEWTON TRANSFORMATION FOR SOLVING SOME COMPLEX EXPONENTIAL EQUATION

DOI10.1142/S0218348X09004430zbMath1175.37051WikidataQ123016475 ScholiaQ123016475MaRDI QIDQ3637994

Xuejing Yu, Xing-Yuan Wang

Publication date: 14 July 2009

Published in: Fractals (Search for Journal in Brave)

zbMATH Keywords

basin of attractionJulia setNewton transformationcomplex exponential equation

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Fractals (28A80)

Related Items (5)

Symmetries of the Julia sets of Newton's method for multiple root ⋮ Influence of the multiplicity of the roots on the basins of attraction of Newton's method ⋮ Graphical representations for the homogeneous bivariate Newton's method ⋮ Julia sets of Newton's method for a class of complex-exponential function \(F(z)=P(z)e^{Q(z)}\) ⋮ Bivariate Newton-Raphson method and toroidal attraction basins

Cites Work

• Iterations, Denjoy-Wolff points and ergodic properties of point-mass singular inner functions
• GENERALIZATIONS OF NEWTON'S METHOD
• A First Course in Discrete Dynamical Systems
• Julia sets for the super-Newton method, Cauchy’s method, and Halley’s method

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