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Abstract:

We give a rational expression for the subresultants of n + 1 generic polynomials f1, ..., fn + 1 in n variables as a function of the coordinates of the common roots of f1, ..., fn and their evaluation in fn + 1. We present a simple technique to prove our results, giving new proofs and generalizing the classical Poisson product formula for the projective resultant, as well as the expressions of Hong for univariate subresultants in roots. © 2005 Elsevier Inc. All rights reserved.

Registro:

Documento: Artículo
Título:Multivariate subresultants in roots
Autor:D'Andrea, C.; Krick, T.; Szanto, A.
Filiación:Department of Mathematics, University of California at Berkeley, CA 94720, United States
Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina
Department of Mathematics, North Carolina State University, Raleigh, NC 27695, United States
Palabras clave:Poisson product formula; Subresultants; Vandermonde determinants
Año:2006
Volumen:302
Número:1
Página de inicio:16
Página de fin:36
DOI: http://dx.doi.org/10.1016/j.jalgebra.2005.08.016
Título revista:Journal of Algebra
Título revista abreviado:J. Algebra
ISSN:00218693
CODEN:JALGA
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_00218693_v302_n1_p16_DAndrea.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00218693_v302_n1_p16_DAndrea

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Citas:

---------- APA ----------
D'Andrea, C., Krick, T. & Szanto, A. (2006) . Multivariate subresultants in roots. Journal of Algebra, 302(1), 16-36.
http://dx.doi.org/10.1016/j.jalgebra.2005.08.016
---------- CHICAGO ----------
D'Andrea, C., Krick, T., Szanto, A. "Multivariate subresultants in roots" . Journal of Algebra 302, no. 1 (2006) : 16-36.
http://dx.doi.org/10.1016/j.jalgebra.2005.08.016
---------- MLA ----------
D'Andrea, C., Krick, T., Szanto, A. "Multivariate subresultants in roots" . Journal of Algebra, vol. 302, no. 1, 2006, pp. 16-36.
http://dx.doi.org/10.1016/j.jalgebra.2005.08.016
---------- VANCOUVER ----------
D'Andrea, C., Krick, T., Szanto, A. Multivariate subresultants in roots. J. Algebra. 2006;302(1):16-36.
http://dx.doi.org/10.1016/j.jalgebra.2005.08.016