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

Alexander Ivanov, Humbet Aliyev, Bakhyt Bakiyev

2015

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DOI 10.1109/icecco.2015.7416874

Data confidence 70 medium

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Abstract

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.