Analytical method of finding polynomial roots by using the eigenvectors, eigenvalues apparatus

Algorithms of finding polynomials roots have been proposed and they are continuously suggesting in different works [5] which are devoted for solving as theoretical so application problems because of theirs complexity and sufficient perfection (accuracy) in series of certain situations. A method of finding polynomials roots which is reduced to obtaining analytical representation of polynomial roots, and for this purpose the methods of eigenvectors of associated to this polynomial a companion (Frobenius or similar to it) matrix is proposed.