Squarefree Decomposition of Univariate Polynomials Depending on a Parameter. Application to the Integration of Parametric Rational Functions

@article{DazToca2001SquarefreeDO,
  title={Squarefree Decomposition of Univariate Polynomials Depending on a Parameter. Application to the Integration of Parametric Rational Functions},
  author={Gema Mar{\'i}a D{\'i}az-Toca and Laureano Gonz{\'a}lez-Vega},
  journal={J. Symb. Comput.},
  year={2001},
  volume={32},
  pages={191-209}
}
The squarefree decomposition of a univariate polynomial, P (y) ∈ K[y], K being a characteristic zero field, is one of the most basic problems in computer algebra (after the greatest common divisor computation, probably the most basic one). The parametric case has not usually been considered in the literature and this paper is dedicated to showing how the case of a single parameter can easily be solved by using, as the main tool, Barnett’s method through Bezoutians. Barnett’s method (see Barnett… CONTINUE READING