On the behavior of chebyshev's method applied to cubic polynomials

  1. Magreñán, Á.A. 3
  2. García-Olivo, M. 1
  3. Gutiérrez, J.M. 2
  1. 1 Área de Ciencias Básicas y Ambientales, Instituto Tecnológico de Santo Domingo, Dominican Republic
  2. 2 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

  3. 3 Universidad Internacional de La Rioja
    info

    Universidad Internacional de La Rioja

    Logroño, España

    ROR https://ror.org/029gnnp81

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Revista:
Civil-Comp Proceedings

ISSN: 1759-3433

Any de publicació: 2014

Volum: 105

Tipus: Article

SCOPUS: 2-s2.0-84963849998 GOOGLE SCHOLAR

Altres publicacions en: Civil-Comp Proceedings

Resum

This paper shows the dynamical behavior of the well-known Chebyshev method when it is applied to cubic polynomials. We present the scaling theorem associated to the method and we study the real dynamics of the method. The convergence plane is used to obtain the same kind of information as from the Lyapunov exponents and Feigenbaum diagrams, and even more. © Civil-Comp Press, 2014.