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- W4301383756 abstract "Let $cP$ 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 $cP$. These formulas are determinants of coefficient matrices of appropriate sets of derivatives of the differential polynomials in $cP$, or in a linear perturbation $cP_{varepsilon}$ of $cP$. In particular, the formula $dfres(cP)$ is the determinant of a matrix $cM(cP)$ having no zero columns if the system $cP$ is super essential. As an application, if the system $frak{P}$ is sparse generic, such formulas can be used to compute the differential resultant $dres(frak{P})$ introduced by Li, Gao and Yuan in (Proceedings of the ISSAC'2011)." @default.
- W4301383756 created "2022-10-05" @default.
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- W4301383756 date "2011-12-16" @default.
- W4301383756 modified "2023-09-26" @default.
- W4301383756 title "Linear sparse differential resultant formulas" @default.
- W4301383756 doi "https://doi.org/10.48550/arxiv.1112.3921" @default.
- W4301383756 hasPublicationYear "2011" @default.
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