Approximating roots by quadratic iteration

Poirier A.; Torres J. · Proyecciones (2023) · DOI: 10.22199/issn.0717-6279-5447

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 7→ z2 + c with rudimentary Galois theory in order to justify an algorithm to find the roots of a complex polynomial.

Instituciones: Pontificia Universidad Católica del Perú