Serveur d'exploration sur la recherche en informatique en Lorraine

Attention, ce site est en cours de développement !
Attention, site généré par des moyens informatiques à partir de corpus bruts.
Les informations ne sont donc pas validées.

Epsilon: A Library of Software Tools for Polynomial Elimination

Identifieur interne : 007F82 ( Main/Exploration ); précédent : 007F81; suivant : 007F83

Epsilon: A Library of Software Tools for Polynomial Elimination

Auteurs : Dongming Wang [France]

Source :

RBID : Hal:inria-00107607

Descripteurs français

Abstract

This article presents a Maple library of functions for decomposing systems of multivariate polynomials into triangular systems of various kinds (regular, simple, or irreducible), with an application package for manipulating and proving geometric theorems.

Url:


Affiliations:


Links toward previous steps (curation, corpus...)


Le document en format XML

<record>
<TEI>
<teiHeader>
<fileDesc>
<titleStmt>
<title xml:lang="en">Epsilon: A Library of Software Tools for Polynomial Elimination</title>
<author>
<name sortKey="Wang, Dongming" sort="Wang, Dongming" uniqKey="Wang D" first="Dongming" last="Wang">Dongming Wang</name>
<affiliation wicri:level="1">
<hal:affiliation type="researchteam" xml:id="struct-2364" status="OLD">
<idno type="RNSR">200221401H</idno>
<orgName>Solving problems through algebraic computation and efficient software</orgName>
<orgName type="acronym">SPACES</orgName>
<desc>
<address>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/equipes/spaces</ref>
</desc>
<listRelation>
<relation active="#struct-160" type="direct"></relation>
<relation name="UMR7503" active="#struct-441569" type="indirect"></relation>
<relation active="#struct-300009" type="indirect"></relation>
<relation active="#struct-300291" type="indirect"></relation>
<relation active="#struct-300292" type="indirect"></relation>
<relation active="#struct-300293" type="indirect"></relation>
<relation active="#struct-2496" type="direct"></relation>
</listRelation>
<tutelles>
<tutelle active="#struct-160" type="direct">
<org type="laboratory" xml:id="struct-160" status="OLD">
<orgName>Laboratoire Lorrain de Recherche en Informatique et ses Applications</orgName>
<orgName type="acronym">LORIA</orgName>
<desc>
<address>
<addrLine>Campus Scientifique BP 239 54506 Vandoeuvre-lès-Nancy Cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.loria.fr</ref>
</desc>
<listRelation>
<relation name="UMR7503" active="#struct-441569" type="direct"></relation>
<relation active="#struct-300009" type="direct"></relation>
<relation active="#struct-300291" type="direct"></relation>
<relation active="#struct-300292" type="direct"></relation>
<relation active="#struct-300293" type="direct"></relation>
</listRelation>
</org>
</tutelle>
<tutelle name="UMR7503" active="#struct-441569" type="indirect">
<org type="institution" xml:id="struct-441569" status="VALID">
<idno type="ISNI">0000000122597504</idno>
<idno type="IdRef">02636817X</idno>
<orgName>Centre National de la Recherche Scientifique</orgName>
<orgName type="acronym">CNRS</orgName>
<date type="start">1939-10-19</date>
<desc>
<address>
<country key="FR"></country>
</address>
<ref type="url">http://www.cnrs.fr/</ref>
</desc>
</org>
</tutelle>
<tutelle active="#struct-300009" type="indirect">
<org type="institution" xml:id="struct-300009" status="VALID">
<orgName>Institut National de Recherche en Informatique et en Automatique</orgName>
<orgName type="acronym">Inria</orgName>
<desc>
<address>
<addrLine>Domaine de VoluceauRocquencourt - BP 10578153 Le Chesnay Cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/en/</ref>
</desc>
</org>
</tutelle>
<tutelle active="#struct-300291" type="indirect">
<org type="institution" xml:id="struct-300291" status="OLD">
<orgName>Université Henri Poincaré - Nancy 1</orgName>
<orgName type="acronym">UHP</orgName>
<date type="end">2011-12-31</date>
<desc>
<address>
<addrLine>24-30 rue Lionnois, BP 60120, 54 003 NANCY cedex, France</addrLine>
<country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
<tutelle active="#struct-300292" type="indirect">
<org type="institution" xml:id="struct-300292" status="OLD">
<orgName>Université Nancy 2</orgName>
<date type="end">2011-12-31</date>
<desc>
<address>
<addrLine>91 avenue de la Libération, BP 454, 54001 Nancy cedex</addrLine>
<country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
<tutelle active="#struct-300293" type="indirect">
<org type="institution" xml:id="struct-300293" status="OLD">
<orgName>Institut National Polytechnique de Lorraine</orgName>
<orgName type="acronym">INPL</orgName>
<date type="end">2011-12-31</date>
<desc>
<address>
<country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
<tutelle active="#struct-2496" type="direct">
<org type="laboratory" xml:id="struct-2496" status="OLD">
<orgName>INRIA Lorraine</orgName>
<desc>
<address>
<addrLine>615 rue du Jardin Botanique 54600 Villers-lès-Nancy</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/centre-de-recherche-inria/nancy-grand-est</ref>
</desc>
<listRelation>
<relation active="#struct-300009" type="direct"></relation>
</listRelation>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>France</country>
<placeName>
<settlement type="city">Nancy</settlement>
<region type="region" nuts="2">Grand Est</region>
<region type="old region" nuts="2">Lorraine (région)</region>
</placeName>
<orgName type="university">Université Nancy 2</orgName>
<orgName type="institution" wicri:auto="newGroup">Université de Lorraine</orgName>
<placeName>
<settlement type="city">Nancy</settlement>
<region type="region" nuts="2">Grand Est</region>
<region type="old region" nuts="2">Lorraine (région)</region>
</placeName>
<orgName type="university">Institut national polytechnique de Lorraine</orgName>
<orgName type="institution" wicri:auto="newGroup">Université de Lorraine</orgName>
</affiliation>
</author>
</titleStmt>
<publicationStmt>
<idno type="wicri:source">HAL</idno>
<idno type="RBID">Hal:inria-00107607</idno>
<idno type="halId">inria-00107607</idno>
<idno type="halUri">https://hal.inria.fr/inria-00107607</idno>
<idno type="url">https://hal.inria.fr/inria-00107607</idno>
<date when="2002-08">2002-08</date>
<idno type="wicri:Area/Hal/Corpus">002001</idno>
<idno type="wicri:Area/Hal/Curation">002001</idno>
<idno type="wicri:Area/Hal/Checkpoint">005635</idno>
<idno type="wicri:explorRef" wicri:stream="Hal" wicri:step="Checkpoint">005635</idno>
<idno type="wicri:Area/Main/Merge">008459</idno>
<idno type="wicri:Area/Main/Curation">007F82</idno>
<idno type="wicri:Area/Main/Exploration">007F82</idno>
</publicationStmt>
<sourceDesc>
<biblStruct>
<analytic>
<title xml:lang="en">Epsilon: A Library of Software Tools for Polynomial Elimination</title>
<author>
<name sortKey="Wang, Dongming" sort="Wang, Dongming" uniqKey="Wang D" first="Dongming" last="Wang">Dongming Wang</name>
<affiliation wicri:level="1">
<hal:affiliation type="researchteam" xml:id="struct-2364" status="OLD">
<idno type="RNSR">200221401H</idno>
<orgName>Solving problems through algebraic computation and efficient software</orgName>
<orgName type="acronym">SPACES</orgName>
<desc>
<address>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/equipes/spaces</ref>
</desc>
<listRelation>
<relation active="#struct-160" type="direct"></relation>
<relation name="UMR7503" active="#struct-441569" type="indirect"></relation>
<relation active="#struct-300009" type="indirect"></relation>
<relation active="#struct-300291" type="indirect"></relation>
<relation active="#struct-300292" type="indirect"></relation>
<relation active="#struct-300293" type="indirect"></relation>
<relation active="#struct-2496" type="direct"></relation>
</listRelation>
<tutelles>
<tutelle active="#struct-160" type="direct">
<org type="laboratory" xml:id="struct-160" status="OLD">
<orgName>Laboratoire Lorrain de Recherche en Informatique et ses Applications</orgName>
<orgName type="acronym">LORIA</orgName>
<desc>
<address>
<addrLine>Campus Scientifique BP 239 54506 Vandoeuvre-lès-Nancy Cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.loria.fr</ref>
</desc>
<listRelation>
<relation name="UMR7503" active="#struct-441569" type="direct"></relation>
<relation active="#struct-300009" type="direct"></relation>
<relation active="#struct-300291" type="direct"></relation>
<relation active="#struct-300292" type="direct"></relation>
<relation active="#struct-300293" type="direct"></relation>
</listRelation>
</org>
</tutelle>
<tutelle name="UMR7503" active="#struct-441569" type="indirect">
<org type="institution" xml:id="struct-441569" status="VALID">
<idno type="ISNI">0000000122597504</idno>
<idno type="IdRef">02636817X</idno>
<orgName>Centre National de la Recherche Scientifique</orgName>
<orgName type="acronym">CNRS</orgName>
<date type="start">1939-10-19</date>
<desc>
<address>
<country key="FR"></country>
</address>
<ref type="url">http://www.cnrs.fr/</ref>
</desc>
</org>
</tutelle>
<tutelle active="#struct-300009" type="indirect">
<org type="institution" xml:id="struct-300009" status="VALID">
<orgName>Institut National de Recherche en Informatique et en Automatique</orgName>
<orgName type="acronym">Inria</orgName>
<desc>
<address>
<addrLine>Domaine de VoluceauRocquencourt - BP 10578153 Le Chesnay Cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/en/</ref>
</desc>
</org>
</tutelle>
<tutelle active="#struct-300291" type="indirect">
<org type="institution" xml:id="struct-300291" status="OLD">
<orgName>Université Henri Poincaré - Nancy 1</orgName>
<orgName type="acronym">UHP</orgName>
<date type="end">2011-12-31</date>
<desc>
<address>
<addrLine>24-30 rue Lionnois, BP 60120, 54 003 NANCY cedex, France</addrLine>
<country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
<tutelle active="#struct-300292" type="indirect">
<org type="institution" xml:id="struct-300292" status="OLD">
<orgName>Université Nancy 2</orgName>
<date type="end">2011-12-31</date>
<desc>
<address>
<addrLine>91 avenue de la Libération, BP 454, 54001 Nancy cedex</addrLine>
<country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
<tutelle active="#struct-300293" type="indirect">
<org type="institution" xml:id="struct-300293" status="OLD">
<orgName>Institut National Polytechnique de Lorraine</orgName>
<orgName type="acronym">INPL</orgName>
<date type="end">2011-12-31</date>
<desc>
<address>
<country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
<tutelle active="#struct-2496" type="direct">
<org type="laboratory" xml:id="struct-2496" status="OLD">
<orgName>INRIA Lorraine</orgName>
<desc>
<address>
<addrLine>615 rue du Jardin Botanique 54600 Villers-lès-Nancy</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/centre-de-recherche-inria/nancy-grand-est</ref>
</desc>
<listRelation>
<relation active="#struct-300009" type="direct"></relation>
</listRelation>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>France</country>
<placeName>
<settlement type="city">Nancy</settlement>
<region type="region" nuts="2">Grand Est</region>
<region type="old region" nuts="2">Lorraine (région)</region>
</placeName>
<orgName type="university">Université Nancy 2</orgName>
<orgName type="institution" wicri:auto="newGroup">Université de Lorraine</orgName>
<placeName>
<settlement type="city">Nancy</settlement>
<region type="region" nuts="2">Grand Est</region>
<region type="old region" nuts="2">Lorraine (région)</region>
</placeName>
<orgName type="university">Institut national polytechnique de Lorraine</orgName>
<orgName type="institution" wicri:auto="newGroup">Université de Lorraine</orgName>
</affiliation>
</author>
</analytic>
</biblStruct>
</sourceDesc>
</fileDesc>
<profileDesc>
<textClass>
<keywords scheme="mix" xml:lang="fr">
<term>décomposition triangulaire</term>
<term>geometric reasoning</term>
<term>logiciel</term>
<term>polynomial elimination</term>
<term>raisonnement géométrique</term>
<term>software</term>
<term>triangular decomposition</term>
<term>élimination polynomiale</term>
</keywords>
</textClass>
</profileDesc>
</teiHeader>
<front>
<div type="abstract" xml:lang="en">This article presents a Maple library of functions for decomposing systems of multivariate polynomials into triangular systems of various kinds (regular, simple, or irreducible), with an application package for manipulating and proving geometric theorems.</div>
</front>
</TEI>
<affiliations>
<list>
<country>
<li>France</li>
</country>
<region>
<li>Grand Est</li>
<li>Lorraine (région)</li>
</region>
<settlement>
<li>Nancy</li>
</settlement>
<orgName>
<li>Institut national polytechnique de Lorraine</li>
<li>Université Nancy 2</li>
<li>Université de Lorraine</li>
</orgName>
</list>
<tree>
<country name="France">
<region name="Grand Est">
<name sortKey="Wang, Dongming" sort="Wang, Dongming" uniqKey="Wang D" first="Dongming" last="Wang">Dongming Wang</name>
</region>
</country>
</tree>
</affiliations>
</record>

Pour manipuler ce document sous Unix (Dilib)

EXPLOR_STEP=$WICRI_ROOT/Wicri/Lorraine/explor/InforLorV4/Data/Main/Exploration
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 007F82 | SxmlIndent | more

Ou

HfdSelect -h $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd -nk 007F82 | SxmlIndent | more

Pour mettre un lien sur cette page dans le réseau Wicri

{{Explor lien
   |wiki=    Wicri/Lorraine
   |area=    InforLorV4
   |flux=    Main
   |étape=   Exploration
   |type=    RBID
   |clé=     Hal:inria-00107607
   |texte=   Epsilon: A Library of Software Tools for Polynomial Elimination
}}

Wicri

This area was generated with Dilib version V0.6.33.
Data generation: Mon Jun 10 21:56:28 2019. Site generation: Fri Feb 25 15:29:27 2022