Computing multihomogeneous resultants using straight-line programs

We present a new algorithm for the computation of resultants associated with multihomogeneous (and, in particular, homogeneous) polynomial equation systems using straight-line programs. Its complexity is polynomial in the number of coefficients of the input system and the degree of the resultant com...

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Detalles Bibliográficos
Autores: Jeronimo, G., Sabia, J.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2007
País:Argentina
Institución:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
Repositorio:Biblioteca Digital (UBA-FCEN)
Idioma:inglés
OAI Identifier:paperaa:paper_07477171_v42_n1-2_p218_Jeronimo
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_07477171_v42_n1-2_p218_Jeronimo
Access Level:acceso abierto
Palabra clave:Multihomogeneous system
Poisson-type product formula
Sparse resultant
Symbolic Newton's algorithm
Descripción
Sumario:We present a new algorithm for the computation of resultants associated with multihomogeneous (and, in particular, homogeneous) polynomial equation systems using straight-line programs. Its complexity is polynomial in the number of coefficients of the input system and the degree of the resultant computed. © 2006 Elsevier Ltd. All rights reserved.