info:eu-repo/semantics/article
An elementary proof of Sylvester's double sums for subresultants
Fecha
2007-03Registro en:
D'Andrea, Carlos; Hong, Hoon; Krick, Teresa Elena Genoveva; Szanto, Agnes; An elementary proof of Sylvester's double sums for subresultants; Academic Press Ltd - Elsevier Science Ltd; Journal Of Symbolic Computation; 42; 3; 3-2007; 290-297
0747-7171
CONICET Digital
CONICET
Autor
D'Andrea, Carlos
Hong, Hoon
Krick, Teresa Elena Genoveva
Szanto, Agnes
Resumen
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 recently proved by Lascoux and Pragacz using multi-Schur functions and divided differences. In this paper, we provide an elementary proof that uses only basic properties of matrix multiplication and Vandermonde determinants.