Dynamics of a new family of iterative processes for quadratic polynomials
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Publication:847253
DOI10.1016/j.cam.2009.11.017zbMath1201.65071OpenAlexW2054920001MaRDI QIDQ847253
Miguel A. Hernández, Natalia Romero, José Manuel Gutiérrez Jimenez
Publication date: 12 February 2010
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2009.11.017
Julia setsNewton methodnonlinear equationsorder of convergenceCatalan numbersChebyshev methodsCatalan trianglegeneral convergencequadratic equation in the complex domain
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 roots of polynomial equations (65H04)
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