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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