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Approximating roots by quadratic iteration

dc.creatorPoirier, Alfredo
dc.creatorTorres, Jesus
dc.date2023-03-27
dc.date.accessioned2023-05-11T20:42:11Z
dc.date.available2023-05-11T20:42:11Z
dc.identifierhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/5447
dc.identifier10.22199/issn.0717-6279-5447
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/225585
dc.descriptionWe 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.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad Católica del Norte.en-US
dc.relationhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/5447/4259
dc.rightsCopyright (c) 2023 Alfredo Poirier, Jesus Torresen-US
dc.rightshttps://creativecommons.org/licenses/by/4.0en-US
dc.sourceProyecciones (Antofagasta, On line); Vol. 42 No. 2 (2023); 407-431en-US
dc.sourceProyecciones. Revista de Matemática; Vol. 42 Núm. 2 (2023); 407-431es-ES
dc.source0717-6279
dc.source10.22199/issn.0717-6279-2023-02
dc.subjectroots of polynomialsen-US
dc.subjectiteration of quadratic polynomialsen-US
dc.subjectcomplex dynamicsen-US
dc.subject37F10en-US
dc.subject65H04en-US
dc.titleApproximating roots by quadratic iterationen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typePeer-reviewed Articleen-US
dc.typetexten-US


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