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    Symbolic computation of the roots of nonlinear algebraic equations using perturbation theory
    (Turgut Ozal Univ, 2012) Ustali, Gurhan; Goktas, Unal; Pakdemirli, Mehmet
    Two algorithms, one for estimating the magnitudes of the roots of a polynomial equation before actually solving it, and one for computing the roots of nonlinear algebraic equations using perturbation theory, are presented. The algorithms are illustrated on an example. The Mathematica package PerturbationIterationFindRootAlgorithman,m carries out all the steps of these algorithms automatically. The package is briefly discussed.