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25

ISSAC
2004
Springer

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Sharp estimates for triangular sets

14 years 4 months ago

Sharp estimates for triangular sets

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We study the triangular representation of zero-dimensional varieties deﬁned over the rational ﬁeld (resp. a rational function ﬁeld). We prove polynomial bounds in terms of intrinsic quantities for the height (resp. degree) of the coeﬃcients of such triangular sets, whereas previous bounds were exponential. We also introduce a rational form of triangular representation, for which our estimates become linear. Experiments show the practical interest of this new representation. Categories and Subject Descriptors

Xavier Dahan, Éric Schost

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ISSAC 2004 | Rational Function ﬁeld | Triangular Representation | Triangular Sets |

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Added	02 Jul 2010
Updated	02 Jul 2010
Type	Conference
Year	2004
Where	ISSAC
Authors	Xavier Dahan, Éric Schost

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