Artículo
A linear algebra approach to the differentiation index of generic DAE systems
Fecha de publicación:
12/2008
Editorial:
Springer
Revista:
Applicable Algebra in Engineering, Communication and Computing
ISSN:
0938-1279
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
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.
Palabras clave:
IMPLICIT SYSTEMS OF DIFFERENTIAL EQUATIONS
,
DIFFERENTIATION INDEX
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Articulos(IMAS)
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Citación
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
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