The Lazy Hermite Reduction - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Reports Year : 1998

The Lazy Hermite Reduction

Abstract

The Hermite reduction is a symbolic integration technique that reduces algebraic functions to integrands having only simple affine poles [1,2,8] . While it is very effective in the case of simple radical extensions, its use in more general algebraic extensions requires the precomputation of an integral basis, which makes the reduction impractical for either multiple algebraic extensions or complicated ground fields. In this paper, we show that the Hermite reduction can be performed without a priori computation of either a primitive element or integral basis, computing the smallest order necessary for a particular integrand along the way.

Domains

Other [cs.OH]
Fichier principal
Vignette du fichier
RR-3562.pdf (186.04 Ko) Télécharger le fichier

Dates and versions

inria-00073121 , version 1 (24-05-2006)

Identifiers

  • HAL Id : inria-00073121 , version 1

Cite

Manuel Bronstein. The Lazy Hermite Reduction. RR-3562, INRIA. 1998. ⟨inria-00073121⟩
109 View
326 Download

Share

Gmail Facebook X LinkedIn More