Citation
Rueda Pérez, Sonia Luisa
(2013).
Linear Sparse Differential Resultant Formulas.
"Linear Algebra and its Applications", v. 438
;
pp. 4296-4321.
ISSN 0024-3795.
Abstract
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.