On the dynamics of some Newton's type iterative functions

DOI10.1080/00207160701671854zbMath1165.65341OpenAlexW2096558640MaRDI QIDQ3630037

Sergio Amat, P. Leauthier, Sonia Busquier, Sergio Plaza, Concepción Bermúdez

Publication date: 2 June 2009

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10533/142540

zbMATH Keywords

conjugacy classesdynamicscomplex polynomialsiterative methodsNewton methodnonlinear equationsrational maps

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Numerical computation of solutions to single equations (65H05) Dynamical systems in numerical analysis (37N30)

Related Items (2)

Iteration functions for \(p\)th roots of complex numbers ⋮ Superattracting cycles for some Newton type iterative methods

Cites Work

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• NEWTON'S VERSUS HALLEY'S METHOD: A DYNAMICAL SYSTEMS APPROACH
• Complex Dynamics and Renormalization (AM-135)
• A family of newton type iterative processes
• On the dynamics of a family of third-order iterative functions

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