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.

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Bibliographic Details
Main Authors: Poirier,Alfredo, Torres,Jesús
Format: Digital revista
Language:English
Published: Universidad Católica del Norte, Departamento de Matemáticas 2023
Online Access:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172023000200407
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