Estimated Bounds for Zeros of Polynomials from Traces of Graeffe Matrices

Ousmane Moussa Tessa^1*, Maimouna Salou¹, Morou Amidou²

¹Département de Mathématiques et d’informatique, Université A. Moumouni de Niamey, Niamey, Niger.
²Institut de Recherche sur l’Enseignement des Mathématiques, Université A. Moumouni de Niamey, Niamey, Niger.

DOI: 10.4236/alamt.2014.44019                

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.

Keywords

Graeffe Matrices, Numerical Approximation of Eigenvalues, Dandelin-Graeffe’s Method, Bounds of Zeros of Polynomial

Conflicts of Interest

The authors declare no conflicts of interest.

References

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