Differential resultants of super essential systems of linear OD-polynomials

Rueda Pérez, Sonia Luisa (2012). Differential resultants of super essential systems of linear OD-polynomials. In: "Libro de Resúmenes del XIII Encuentro de Álgebra Computacional y Aplicaciones EACA 2012". Servicio de Publicaciones, Universidad de Alcalá, Alcalá de Henares, Madrid, Spain, pp. 155-158. ISBN 978-84-8138-770-4.

Description

Title: Differential resultants of super essential systems of linear OD-polynomials
Author/s:
  • Rueda Pérez, Sonia Luisa
Editor/s:
  • Sendra, J. Rafael
  • Villarino, Carlos
Item Type: Book Section
Title of Book: Libro de Resúmenes del XIII Encuentro de Álgebra Computacional y Aplicaciones EACA 2012
Date: 2012
ISBN: 978-84-8138-770-4
Subjects:
Faculty: E.T.S. Arquitectura (UPM)
Department: Matemática Aplicada
Creative Commons Licenses: None

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Abstract

The sparse differential resultant dres(P) of an overdetermined system P of generic nonhomogeneous ordinary differential polynomials, was formally defined recently by Li, Gao and Yuan (2011). In this note, a differential resultant formula dfres(P) is defined and proved to be nonzero for linear "super essential" systems. In the linear case, dres(P) is proved to be equal, up to a nonzero constant, to dfres(P*) for the supper essential subsystem P* of P.

More information

Item ID: 32475
DC Identifier: http://oa.upm.es/32475/
OAI Identifier: oai:oa.upm.es:32475
Deposited by: PhD Sonia Luisa Rueda Pérez
Deposited on: 27 Oct 2014 08:23
Last Modified: 04 Sep 2020 14:53
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