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dc.contributor.author
D'Andrea, Carlos  
dc.contributor.author
Hong, Hoon  
dc.contributor.author
Krick, Teresa Elena Genoveva  
dc.contributor.author
Szanto, Agnes  
dc.date.available
2021-03-04T19:22:04Z  
dc.date.issued
2007-03  
dc.identifier.citation
D'Andrea, Carlos; Hong, Hoon; Krick, Teresa Elena Genoveva; Szanto, Agnes; An elementary proof of Sylvester's double sums for subresultants; Academic Press Ltd - Elsevier Science Ltd; Journal Of Symbolic Computation; 42; 3; 3-2007; 290-297  
dc.identifier.issn
0747-7171  
dc.identifier.uri
http://hdl.handle.net/11336/127514  
dc.description.abstract
In 1853 Sylvester stated and proved an elegant formula that expresses the polynomial subresultants in terms of the roots of the input polynomials. Sylvester's formula was also recently proved by Lascoux and Pragacz using multi-Schur functions and divided differences. In this paper, we provide an elementary proof that uses only basic properties of matrix multiplication and Vandermonde determinants.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Academic Press Ltd - Elsevier Science Ltd  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/  
dc.subject
DOUBLE-SUM FORMULA  
dc.subject
SUBRESULTANTS  
dc.subject
VANDERMONDE DETERMINANT  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
An elementary proof of Sylvester's double sums for subresultants  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2020-09-24T14:27:07Z  
dc.journal.volume
42  
dc.journal.number
3  
dc.journal.pagination
290-297  
dc.journal.pais
Estados Unidos  
dc.description.fil
Fil: D'Andrea, Carlos. Universidad de Barcelona; España  
dc.description.fil
Fil: Hong, Hoon. North Carolina State University; Estados Unidos  
dc.description.fil
Fil: Krick, Teresa Elena Genoveva. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina  
dc.description.fil
Fil: Szanto, Agnes. North Carolina State University; Estados Unidos  
dc.journal.title
Journal Of Symbolic Computation  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.jsc.2006.09.003  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0747717106000897  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/math/0604418  

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