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Estimated Bounds for Zeros of Polynomials from Traces of Graeffe Matrices

Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=52891#.VKyLGMnQrzE Author(s)      Ousmane Moussa Tessa 1* , Maimouna Salou 1 , Morou Amidou 2 Affiliation(s) 1 Département de Mathématiques et d’informatique, Université A. Moumouni de Niamey, Niamey, Niger . 2 Institut de Recherche sur l’Enseignement des Mathématiques, Université A. Moumouni de Niamey, Niamey, Niger . ABSTRACT In this paper, we combine Graeffe matrices with the classical numerical method of Dandelin-Graeffe to estimate bounds for the moduli of the zeros of polynomials. Furthermore, we give some examples showing significant gain for the convergence towards the polynomials dominant zeros moduli. ...