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Decoupling multivariate fractions

Abstract : We present a new algorithm for computing compact forms of multivariate fractions. Given a fraction presented as a quotient of two polynomials, our algorithm builds a tree where internal nodes are operators, and leaves are fractions depending on pairwise disjoint sets of variables. The motivation of this work is to obtain compact forms of fractions, which are more readable and meaningful for the user or the modeler, and better suited for interval arithmetic.
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https://hal.archives-ouvertes.fr/hal-03285870
Contributor : François Lemaire Connect in order to contact the contributor
Submitted on : Tuesday, July 13, 2021 - 4:33:11 PM
Last modification on : Tuesday, January 4, 2022 - 6:50:54 AM
Long-term archiving on: : Thursday, October 14, 2021 - 7:15:39 PM

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  • HAL Id : hal-03285870, version 1

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François Lemaire, Adrien Poteaux. Decoupling multivariate fractions. Computer Algebra in Scientific Computing, Sep 2021, Sochi, Russia. pp.209--231. ⟨hal-03285870⟩

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