2 citations · 6 across the 10 of their papers we have counts for
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On the height of the Sylvester Resultant
Carlos D'Andrea, Kevin G. Hare
Let n be a positive integer. We consider the Sylvester Resultant of f and g, where f is a generic polynomial of degree 2 or 3 and g is a generic polynomial of degree n. If f is a q…
On the irreducibility of multivariate subresultants
Laurent Busé, Carlos D'Andrea
Let be generic homogeneous polynomials in variables of degrees respectively. We prove that if is an integer satisfying ${\sum_{i=1}^n d_i}-n+1-\…
Macaulay Style Formulas for the Toric Residue
Carlos D'Andrea, Amit Khetan
We present an explicit formula for computing toric residues as a quotient of two determinants, a la Macaulay, where the numerator is a minor of the denominator. We also give an irr…
Subresultants and Generic Monomial Bases
Carlos D'Andrea, Gabriela Jeronimo
Given n polynomials in n variables of respective degrees d_1,...,d_n, and a set of monomials of cardinality d_1...d_n, we give an explicit subresultant-based polynomial expression…