Author(s)

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.

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.

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

Tessa, O. , Salou, M. and Amidou, M. (2014) Estimated Bounds for Zeros of Polynomials from Traces of Graeffe Matrices. Advances in Linear Algebra & Matrix Theory, 4, 210-215. doi: 10.4236/alamt.2014.44019.