Decoupling multivariate fractions
Document type :
Communication dans un congrès avec actes
Title :
Decoupling multivariate fractions
Author(s) :
Lemaire, Francois [Auteur]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Poteaux, Adrien [Auteur]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Poteaux, Adrien [Auteur]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Scientific editor(s) :
Boulier, Fran{\c{c}}ois
England, Matthew
Sadykov, Timur M.
Vorozhtsov, Evgenii V.
England, Matthew
Sadykov, Timur M.
Vorozhtsov, Evgenii V.
Conference title :
Computer Algebra in Scientific Computing
City :
Sochi
Country :
Russie
Start date of the conference :
2021-09-13
English keyword(s) :
Multivariate Fractions
Decoupling
Compact form
Decoupling
Compact form
HAL domain(s) :
Informatique [cs]/Calcul formel [cs.SC]
English abstract : [en]
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 ...
Show more >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.Show less >
Show more >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.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Internationale
Popular science :
Non
ANR Project :
Collections :
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