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Thèse de Doctorat
DOI
https://doi.org/10.11606/T.55.2019.tde-21112019-105624
Document
Auteur
Nom complet
Sandra Maria Venturelli Ferreira Dias
Unité de l'USP
Domain de Connaissance
Date de Soutenance
Editeur
São Carlos, 1984
Directeur
Jury
Hehl, Maximilian Emil (Président)
Andrade, Celia Maria Finazzi de
Moura, Carlos Antonio de
Qualifik, Paul
Titre en portugais
CONTRIBUIÇÕES PARA A RESOLUÇÃO NUMÉRICA DE EQUAÇÕES POLINOMIAIS
Mots-clés en portugais
Não disponível
Resumé en portugais
Não disponível
Titre en anglais
CONTRIBUTIONS FOR THE NUMERICAL RESOLUTION OF POLYNOMIAL EQUATIONS
Mots-clés en anglais
Not available
Resumé en anglais
This work is intended to present contributions to solve problems which occur in the application of iterative methods for solving polynomial equations, thus amplifying the numerical computational means already available. We present two new techniques, called Initial Pha se and Variant of the Initial Phase, in chapter 2, by means o f which we determine one or more initial approximations to the root of the smaller modulus of a polynomi al equation. In chapter 3 of this work, a new iterative method, called MIDREM is proposed. This method gives not only the root of a polynomial equation but also its multiplicity. Considerations about Graeffe's method to solve real polynomial equations are presented in chapter 4. It is well known that this method has been considered inadequate for computational purposes due to the frequent occurrence of overflows. | Our proposed programme avoids this inconvenience and makes the method computationally efficient.
 
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Date de Publication
2019-11-21
 
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