36 citations · 80 across the 24 of their papers we have counts for
3 papers · 1 filter
Closed formula for univariate subresultants in multiple roots
Carlos D'Andrea, Teresa Krick, Agnes Szanto +1
We generalize Sylvester single sums to multisets (sets with repeated elements), and show that these sums compute subresultants of two univariate polyomials as a function of their r…
Subresultants in multiple roots: an extremal case
Alin Bostan, Carlos D'Andrea, Teresa Krick +2
We provide explicit formulae for the coefficients of the order-d polynomial subresultant of (x-α)^m and (x-β)^n with respect to the set of Bernstein polynomials \{(x-α)^j(x-β)^{d-j…
Computing the Homology of Real Projective Sets
Felipe Cucker, Teresa Krick, Michael Shub
We describe and analyze a numerical algorithm for computing the homology (Betti numbers and torsion coefficients) of real projective varieties. Here numerical means that the algori…