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Reports Year : 2001

Resolvent Representation for Regular Differential Ideals

Thomas Cluzeau
Evelyne Hubert

Abstract

We show that the generic zeros of a differential ideal $\dreg[A]$ defined by a differential chain $A$ are birationally equivalent to the general zeros of a single regular differential polynomial. This equivalence will be constructed explicitly. This provides a generalisation of both the cyclic vector construction for system of linear differential equations and the rational univariate representation of algebraic zero dimensional radical ideals.
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Dates and versions

inria-00072422 , version 1 (24-05-2006)

Identifiers

  • HAL Id : inria-00072422 , version 1

Cite

Thomas Cluzeau, Evelyne Hubert. Resolvent Representation for Regular Differential Ideals. RR-4200, INRIA. 2001. ⟨inria-00072422⟩
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