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math.AC2011★ 1 cited
Sylvester's double sums: an inductive proof of the general case
Teresa Krick, Agnes Szanto
In 1853 J. Sylvester introduced a family of double sum expressions for two finite sets of indeterminates and showed that some members of the family are essentially the polynomial s…
math.AC2007
Sylvester's Double Sums: the general case
Carlos D'Andrea, Hoon Hong, Teresa Krick +1
In 1853 Sylvester introduced a family of double sum expressions for two finite sets of indeterminates and showed that some members of the family are essentially the polynomial subr…
math.AC2006
An Elementary Proof of Sylvester's Double Sums for Subresultants
Carlos D'Andrea, Hoon Hong, Teresa Krick +1
In 1853 Sylvester stated and proved an elegant formula that expresses the polynomial subresultants in terms of the roots of the input polynomials. Sylvester's formula was also rece…