Subresultants and generic monomial bases

• Autores: Gabriela Jeronimo, Carlos D'Andrea
• Localización: Journal of symbolic computation, ISSN 0747-7171, Vol. 39, Nº 3, 2005, págs. 259-277
• Idioma: inglés
• DOI: 10.1016/j.jsc.2004.11.003
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• Resumen

  • Given n polynomials in n variables of respective degrees d1,¿,dn, and a set of monomials of cardinality d1dn, we give an explicit subresultant-based polynomial expression in the coefficients of the input polynomials whose non-vanishing is a necessary and sufficient condition for this set of monomials to be a basis of the ring of polynomials in n variables modulo the ideal generated by the system of polynomials. This approach allows us to clarify the algorithms for the Bézout construction of the resultant.