2020-08-05T22:17:29Z
http://oa.upm.es/cgi/oai2
oai:oa.upm.es:38522
2019-03-13T14:41:01Z
7374617475733D707562
7375626A656374733D6D6174656D617469636173
747970653D61727469636C65
Differential elimination by differential specialization of Sylvester style matrices
Rueda PĂ©rez, Sonia Luisa
Mathematics
Differential resultant formulas are defined, for a system $\cP$ of $n$ ordinary Laurent differential polynomials in $n-1$ differential variables. These are determinants of coefficient matrices of an extended system of polynomials obtained from $\cP$ through derivations and multiplications by Laurent monomials. To start, through derivations, a system $\ps(\cP)$ of $L$ polynomials in $L-1$ algebraic variables is obtained, which is non sparse in the order of derivation. This enables the use of existing formulas for the computation of algebraic resultants, of the multivariate sparse algebraic polynomials in $\ps(\cP)$, to obtain polynomials in the differential elimination ideal generated by $\cP$. The formulas obtained are multiples of the sparse differential resultant defined by Li, Yuan and Gao, and provide order and degree bounds in terms of mixed volumes in the generic case.
E.T.S. Arquitectura (UPM)
(c) Editor/Autor
2016-01
info:eu-repo/semantics/article
Article
Advances in Applied Mathematics, ISSN 0196-8858, 2016-01, Vol. 72
NonPeerReviewed
application/pdf
spa
https://doi.org/10.1016/j.aam.2015.07.002
MTM2011-25816-C02-01
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.aam.2015.07.002
http://oa.upm.es/38522/