Multivariate subresultants in roots
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 t...
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Artículo publishedVersion |
| Publicado: |
2006
|
| Materias: | |
| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00218693_v302_n1_p16_DAndrea https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00218693_v302_n1_p16_DAndrea_oai |
| Aporte de: |
| Sumario: | 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. |
|---|