On the Newton's method for transcendental functions

DOI10.1215/kjm/1250517620zbMath1002.30017OpenAlexW1523802348MaRDI QIDQ698536

Hartje Kriete

Publication date: 7 January 2003

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250517620

zbMATH Keywords

Newton's methodJulia setHausdorff convergencehyperbolic component

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Numerical computation of solutions to single equations (65H05) Entire functions of one complex variable (general theory) (30D20) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (1)

Fatou components and singularities of meromorphic functions

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