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Subresultants with the Bézout Matrix

Identifieur interne : 009E52 ( Main/Merge ); précédent : 009E51; suivant : 009E53

Subresultants with the Bézout Matrix

Auteurs : Xiaorong Hou ; Dongming Wang

Source :

RBID : CRIN:hou00a

English descriptors

Abstract

Subresultants are defined usually by means of subdeterminants of the Sylvester matrix. This paper gives an explicit and simple representation of the subresultants in terms of subdeterminants of the Bézout matrix and thus provides an alternative definition for subresultants. The representation and the lower dimensionality of the Bézout matrix lead to an effective technique for computing subresultant chains using determinant evaluation. Our preliminary experiments show that this technique is computationally superior to the standard technique based on pseudo-division for certain classes of polynomials.

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CRIN:hou00a

Le document en format XML

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<div type="abstract" xml:lang="en" wicri:score="1022">Subresultants are defined usually by means of subdeterminants of the Sylvester matrix. This paper gives an explicit and simple representation of the subresultants in terms of subdeterminants of the Bézout matrix and thus provides an alternative definition for subresultants. The representation and the lower dimensionality of the Bézout matrix lead to an effective technique for computing subresultant chains using determinant evaluation. Our preliminary experiments show that this technique is computationally superior to the standard technique based on pseudo-division for certain classes of polynomials.</div>
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