Minors of Bezout matrices, subresultants and the parameterization of the degree of the polynomial greatest common divisor
Jounaı̈di Abdeljaoued, Gema M. Diaz–Toca, Laureano González-Vega · International Journal of Computer Mathematics · 2004
The main purpose of this article is to present algorithms to parameterize the degree of the greatest common divisor of two polynomials with parametric coefficients: these algorithms are based on the fact that the principal minors of the Bezout matrices provide the principal subresultant sequence. When coefficients depend on parameters, these algorithms show a better behaviour than the classical ones.