A linear algebra approach to the differentiation index of generic DAE systems

Autores
D'Alfonso, Lisi; Jeronimo, Gabriela Tali; Solernó, Pablo Luis
Año de publicación
2008
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The notion of differentiation index for DAE systems of arbitrary order with generic second members is discussed by means of the study of the behavior of the ranks of certain Jacobian associated sub-matrices. As a by-product, we obtain upper bounds for the regularity of the Hilbert-Kolchin function and the order of the ideal associated to the DAE systems under consideration, not depending on characteristic sets. Some quantitative and algorithmic results concerning differential transcendence bases and induced equivalent explicit ODE systems are also established.
Fil: D'Alfonso, Lisi. Universidad de Buenos Aires. Ciclo Básico Común; Argentina
Fil: Jeronimo, Gabriela Tali. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Fil: Solernó, Pablo Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Materia
IMPLICIT SYSTEMS OF DIFFERENTIAL EQUATIONS
DIFFERENTIATION INDEX
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/245246
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/245246
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling A linear algebra approach to the differentiation index of generic DAE systemsD'Alfonso, LisiJeronimo, Gabriela TaliSolernó, Pablo LuisIMPLICIT SYSTEMS OF DIFFERENTIAL EQUATIONSDIFFERENTIATION INDEXhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1The notion of differentiation index for DAE systems of arbitrary order with generic second members is discussed by means of the study of the behavior of the ranks of certain Jacobian associated sub-matrices. As a by-product, we obtain upper bounds for the regularity of the Hilbert-Kolchin function and the order of the ideal associated to the DAE systems under consideration, not depending on characteristic sets. Some quantitative and algorithmic results concerning differential transcendence bases and induced equivalent explicit ODE systems are also established.Fil: D'Alfonso, Lisi. Universidad de Buenos Aires. Ciclo Básico Común; ArgentinaFil: Jeronimo, Gabriela Tali. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; ArgentinaFil: Solernó, Pablo Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; ArgentinaSpringer2008-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/245246D'Alfonso, Lisi; Jeronimo, Gabriela Tali; Solernó, Pablo Luis; A linear algebra approach to the differentiation index of generic DAE systems; Springer; Applicable Algebra in Engineering, Communication and Computing; 19; 6; 12-2008; 441-4730938-1279CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/cs/0608064info:eu-repo/semantics/altIdentifier/doi/10.48550/arXiv.cs/0608064info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:10:04Zoai:ri.conicet.gov.ar:11336/245246instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:10:05.254CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A linear algebra approach to the differentiation index of generic DAE systems
title A linear algebra approach to the differentiation index of generic DAE systems
spellingShingle A linear algebra approach to the differentiation index of generic DAE systems
D'Alfonso, Lisi
IMPLICIT SYSTEMS OF DIFFERENTIAL EQUATIONS
DIFFERENTIATION INDEX
title_short A linear algebra approach to the differentiation index of generic DAE systems
title_full A linear algebra approach to the differentiation index of generic DAE systems
title_fullStr A linear algebra approach to the differentiation index of generic DAE systems
title_full_unstemmed A linear algebra approach to the differentiation index of generic DAE systems
title_sort A linear algebra approach to the differentiation index of generic DAE systems
dc.creator.none.fl_str_mv D'Alfonso, Lisi
Jeronimo, Gabriela Tali
Solernó, Pablo Luis
author D'Alfonso, Lisi
author_facet D'Alfonso, Lisi
Jeronimo, Gabriela Tali
Solernó, Pablo Luis
author_role author
author2 Jeronimo, Gabriela Tali
Solernó, Pablo Luis
author2_role author
author
dc.subject.none.fl_str_mv IMPLICIT SYSTEMS OF DIFFERENTIAL EQUATIONS
DIFFERENTIATION INDEX
topic IMPLICIT SYSTEMS OF DIFFERENTIAL EQUATIONS
DIFFERENTIATION INDEX
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv The notion of differentiation index for DAE systems of arbitrary order with generic second members is discussed by means of the study of the behavior of the ranks of certain Jacobian associated sub-matrices. As a by-product, we obtain upper bounds for the regularity of the Hilbert-Kolchin function and the order of the ideal associated to the DAE systems under consideration, not depending on characteristic sets. Some quantitative and algorithmic results concerning differential transcendence bases and induced equivalent explicit ODE systems are also established.
Fil: D'Alfonso, Lisi. Universidad de Buenos Aires. Ciclo Básico Común; Argentina
Fil: Jeronimo, Gabriela Tali. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Fil: Solernó, Pablo Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
description The notion of differentiation index for DAE systems of arbitrary order with generic second members is discussed by means of the study of the behavior of the ranks of certain Jacobian associated sub-matrices. As a by-product, we obtain upper bounds for the regularity of the Hilbert-Kolchin function and the order of the ideal associated to the DAE systems under consideration, not depending on characteristic sets. Some quantitative and algorithmic results concerning differential transcendence bases and induced equivalent explicit ODE systems are also established.
publishDate 2008
dc.date.none.fl_str_mv 2008-12
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/245246
D'Alfonso, Lisi; Jeronimo, Gabriela Tali; Solernó, Pablo Luis; A linear algebra approach to the differentiation index of generic DAE systems; Springer; Applicable Algebra in Engineering, Communication and Computing; 19; 6; 12-2008; 441-473
0938-1279
CONICET Digital
CONICET
url http://hdl.handle.net/11336/245246
identifier_str_mv D'Alfonso, Lisi; Jeronimo, Gabriela Tali; Solernó, Pablo Luis; A linear algebra approach to the differentiation index of generic DAE systems; Springer; Applicable Algebra in Engineering, Communication and Computing; 19; 6; 12-2008; 441-473
0938-1279
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/cs/0608064
info:eu-repo/semantics/altIdentifier/doi/10.48550/arXiv.cs/0608064
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.070432

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