Linear Sparse Differential Resultant Formulas

Rueda Pérez, Sonia Luisa (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.

Description

Title: Linear Sparse Differential Resultant Formulas
Author/s:
  • Rueda Pérez, Sonia Luisa
Item Type: Article
Título de Revista/Publicación: Linear Algebra and its Applications
Date: 2013
ISSN: 0024-3795
Volume: 438
Subjects:
Faculty: E.T.S. Arquitectura (UPM)
Department: Matemática Aplicada
Creative Commons Licenses: None

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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.

More information

Item ID: 30918
DC Identifier: http://oa.upm.es/30918/
OAI Identifier: oai:oa.upm.es:30918
DOI: 10.1016/j.laa2013.01.016
Deposited by: PhD Sonia Luisa Rueda Pérez
Deposited on: 27 Oct 2014 08:26
Last Modified: 27 Oct 2014 08:26
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