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Linear Sparse Differential Resultant Formulas
Cita
Rueda Pérez, Sonia Luisa 
ORCID: https://orcid.org/0000-0003-4447-5027
(2013).
Linear Sparse Differential Resultant Formulas.
"Linear Algebra and its Applications", v. 438
;
pp. 4296-4321.
ISSN 0024-3795.
https://doi.org/10.1016/j.laa2013.01.016.
ORCID: https://orcid.org/0000-0003-4447-5027
(2013).
Linear Sparse Differential Resultant Formulas.
"Linear Algebra and its Applications", v. 438
;
pp. 4296-4321.
ISSN 0024-3795.
https://doi.org/10.1016/j.laa2013.01.016.
Descripción
| Título: | Linear Sparse Differential Resultant Formulas |
|---|---|
| Autor/es: |
|
| Tipo de Documento: | Artículo |
| Título de Revista/Publicación: | Linear Algebra and its Applications |
| Fecha: | 2013 |
| ISSN: | 0024-3795 |
| Volumen: | 438 |
| Materias: | |
| ODS: | |
| Escuela: | E.T.S. Arquitectura (UPM) |
| Departamento: | Matemática Aplicada |
| Licencias Creative Commons: | Ninguna |
Resumen
Let P be a system of n linear nonhomogeneous ordinary differential polynomials in a set U of n-1 differential indeterminates.
Differential resultant formulas are presented to eliminate the differential indeterminates in U from P. These formulas are determinants of coefficient matrices of appropriate sets of derivatives of the differential polynomials in P, or in a linear perturbation Pe of P.
In particular, the formula dfres(P) is the determinant of a matrix M(P) having no zero columns if the system P is ``super essential".
As an application, if the system PP is sparse generic, such formulas can be used to compute the differential resultant dres(PP) introduced by Li, Gao and Yuan.
Más información
| ID de Registro: | 30918 |
|---|---|
| Identificador DC: | https://oa.upm.es/30918/ |
| Identificador OAI: | oai:oa.upm.es:30918 |
| Identificador DOI: | 10.1016/j.laa2013.01.016 |
| Depositado por: | PhD Sonia Luisa Rueda Pérez |
| Depositado el: | 27 Oct 2014 08:26 |
| Ultima Modificación: | 27 Oct 2014 08:26 |
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