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dc.contributor.author
D'Alfonso, Lisi
dc.contributor.author
Jeronimo, Gabriela Tali
dc.contributor.author
Solernó, Pablo Luis
dc.date.available
2024-10-01T12:55:38Z
dc.date.issued
2008-12
dc.identifier.citation
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
dc.identifier.issn
0938-1279
dc.identifier.uri
http://hdl.handle.net/11336/245246
dc.description.abstract
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.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
IMPLICIT SYSTEMS OF DIFFERENTIAL EQUATIONS
dc.subject
DIFFERENTIATION INDEX
dc.subject.classification
Otras Matemáticas
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
A linear algebra approach to the differentiation index of generic DAE systems
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2024-09-03T13:29:58Z
dc.journal.volume
19
dc.journal.number
6
dc.journal.pagination
441-473
dc.journal.pais
Alemania
dc.journal.ciudad
Berlin
dc.description.fil
Fil: D'Alfonso, Lisi. Universidad de Buenos Aires. Ciclo Básico Común; Argentina
dc.description.fil
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
dc.description.fil
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
dc.journal.title
Applicable Algebra in Engineering, Communication and Computing
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/cs/0608064
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.48550/arXiv.cs/0608064
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