Approximating roots by quadratic iteration

• Poirier, Alfredo ^[1] ; Torres, Jesus
  1. [1] Pontificia Universidad Católica del Perú

     Pontificia Universidad Católica del Perú

     Perú

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 42, Nº. 2, 2023, págs. 407-431
• Idioma: inglés
• DOI: 10.22199/issn.0717-6279-5447
• Enlaces
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• 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.

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