Real qualitative behavior of a fourth-order family of iterative methods by using the convergence plane

  1. Magreñán, Á.A. 1
  2. Cordero, A. 2
  3. Gutiérrez, J.M. 3
  4. Torregrosa, J.R. 2
  1. 1 Universidad Internacional de La Rioja
    info

    Universidad Internacional de La Rioja

    Logroño, España

    ROR https://ror.org/029gnnp81

  2. 2 Universidad Politécnica de Valencia
    info

    Universidad Politécnica de Valencia

    Valencia, España

    ROR https://ror.org/01460j859

  3. 3 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

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Zeitschrift:
Mathematics and Computers in Simulation

ISSN: 0378-4754

Datum der Publikation: 2014

Ausgabe: 105

Seiten: 49-61

Art: Artikel

DOI: 10.1016/J.MATCOM.2014.04.006 SCOPUS: 2-s2.0-84902471667 WoS: WOS:000340982000003 GOOGLE SCHOLAR

Andere Publikationen in: Mathematics and Computers in Simulation

Projekte im Zusammenhang

Procesos iteratios para resolver ecuaciones no lineales: construcción, convergencia, eficacia, análisis dinámico y aplicaciones

2012/00014/001

Zusammenfassung

The real dynamics of a family of fourth-order iterative methods is studied when it is applied on quadratic polynomials. A Scaling Theorem is obtained and the conjugacy classes are analyzed. The convergence plane is used to obtain the same kind of information as from the parameter space, and even more, in complex dynamics. © 2014 IMACS.