A note on the newton method for degree four polynomials
DOI:
https://doi.org/10.22199/S07160917.1999.0002.00001Abstract
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.
References
[ 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, pp. 186- 195, (1992).
[3] Peitgen. H. (ed.) Newton, Method and Dynamical Systems. Kluwer Academic Publishers, pp. 54- 58, (1989).
[2] Movshovitz-Hadar, N., Shmukler, A. Infinitely Many Different Quartic Polynomial Curves. The College Mathematics Journal, Vol. 23, N° 3, pp. 186- 195, (1992).
[3] Peitgen. H. (ed.) Newton, Method and Dynamical Systems. Kluwer Academic Publishers, pp. 54- 58, (1989).
Published
2018-04-04
How to Cite
[1]
S. Plaza S., “A note on the newton method for degree four polynomials”, Proyecciones (Antofagasta, On line), vol. 18, no. 2, pp. 137-144, Apr. 2018.
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