Approximating roots by quadratic iteration

Alfredo Poirier; Jesús Torres

Approximating roots by quadratic iteration

Alfredo Poirier, Jesús Torres

Pontificia Universidad Catolica del Peru

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

1 Cita (Scopus)

Resumen

We apply a coctel of elementary methods to the problem of finding the roots of an arbitrary polynomial. Specifically, we combine properties of the iteration z → z2 + c with rudimentary Galois theory in order to justify an algorithm to find the roots of a complex polynomial.

Idioma original	Español
Páginas (desde-hasta)	407-431
Número de páginas	25
Publicación	Proyecciones (Antofagasta, On Line)
Volumen	42
N.º	2
Estado	Publicada - 27 mar. 2023

Otros archivos y enlaces

Other Link

Citar esto

@article{dd4447c4115444a585d5c211616d2910,

title = "Approximating roots by quadratic iteration",

abstract = "We apply a coctel of elementary methods to the problem of finding the roots of an arbitrary polynomial. Specifically, we combine properties of the iteration z → z2 + c with rudimentary Galois theory in order to justify an algorithm to find the roots of a complex polynomial.",

author = "Alfredo Poirier and Jes{\'u}s Torres",

year = "2023",

month = mar,

day = "27",

language = "Espa{\~n}ol",

volume = "42",

pages = "407--431",

journal = "Proyecciones (Antofagasta, On Line)",

number = "2",

}

TY - JOUR

T1 - Approximating roots by quadratic iteration

AU - Poirier, Alfredo

AU - Torres, Jesús

PY - 2023/3/27

Y1 - 2023/3/27

N2 - We apply a coctel of elementary methods to the problem of finding the roots of an arbitrary polynomial. Specifically, we combine properties of the iteration z → z2 + c with rudimentary Galois theory in order to justify an algorithm to find the roots of a complex polynomial.

AB - We apply a coctel of elementary methods to the problem of finding the roots of an arbitrary polynomial. Specifically, we combine properties of the iteration z → z2 + c with rudimentary Galois theory in order to justify an algorithm to find the roots of a complex polynomial.

UR - https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/5447

M3 - Artículo

VL - 42

SP - 407

EP - 431

JO - Proyecciones (Antofagasta, On Line)

JF - Proyecciones (Antofagasta, On Line)

IS - 2

ER -