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Linear Sparse Differential Resultant Formulas
Rueda Pérez, Sonia Luisa
Linear Sparse Differential Resultant Formulas.
"Linear Algebra and its Applications", v. 438
||Linear Sparse Differential Resultant Formulas
|Título de Revista/Publicación:
||Linear Algebra and its Applications
||E.T.S. Arquitectura (UPM)
|Creative Commons Licenses:
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.
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