A note on the newton method for degree four polynomials

• Plaza S., Sergio ^[1]
  1. [1] Universidad de Santiago de Chile

     Universidad de Santiago de Chile

     Santiago, Chile

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 18, Nº. 2, 1999, págs. 137-144
• Idioma: inglés
• DOI: 10.22199/S07160917.1999.0002.00001
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• Resumen

  • We study the Newton method for finding roots of real polynomial equations of degree four from a global and a dynamics point of view. We describe some representative families of four degree polynomials that contain all of the significative features of the dynamics.

• Referencias bibliográficas
  • Citas [ 1] Holmgren, R. A First Course in Discrete Dynamical Systems. Springer-Verlag, (1994).
  • [2] Movshovitz-Hadar, N., Shmukler, A. Infinitely Many Different Quartic Polynomial Curves. The College Mathematics Journal, Vol. 23, N° 3,...
  • [3] Peitgen. H. (ed.) Newton, Method and Dynamical Systems. Kluwer Academic Publishers, pp. 54- 58, (1989).