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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Journal:
Civil-Comp Proceedings

ISSN: 1759-3433

Year of publication: 2014

Volume: 105

Type: Article

SCOPUS: 2-s2.0-84963849998 GOOGLE SCHOLAR

More publications in: Civil-Comp Proceedings

Abstract

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.