In this paper, a new algorithm for the eigenvalue problem of matrices is given. Namerical examples show that it could be a remarkable approach for practical purposes. Some open problems are listed.

We show that, if the absolute value of the coefficients of 𝑝 (𝑥) (respectively, the norm of the coefficients of 𝑃 (𝑥)) are bounded by a moderate number, computing the roots of 𝑝 (𝑥) ...