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dc.contributor.author
D'Andrea, Carlos  
dc.contributor.author
Krick, Teresa Elena Genoveva  
dc.contributor.author
Szanto, Agnes  
dc.contributor.author
Valdettaro, Marcelo Alejandro  
dc.date.available
2020-11-05T14:46:57Z  
dc.date.issued
2019-03  
dc.identifier.citation
D'Andrea, Carlos; Krick, Teresa Elena Genoveva; Szanto, Agnes; Valdettaro, Marcelo Alejandro; Closed formula for univariate subresultants in multiple roots; Elsevier Science Inc; Linear Algebra and its Applications; 565; 3-2019; 123-155  
dc.identifier.issn
0024-3795  
dc.identifier.uri
http://hdl.handle.net/11336/117681  
dc.description.abstract
We generalize Sylvester single sums to multisets and show that these sums compute subresultants of two univariate polynomials as a function of their roots independently of their multiplicity structure. This is the first closed formula for subresultants in terms of roots that works for arbitrary polynomials, previous efforts only handled special cases. Our extension involves in some cases confluent Schur polynomials and is obtained by using multivariate symmetric interpolation via an Exchange Lemma.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Elsevier Science Inc  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
EXCHANGE LEMMA  
dc.subject
FORMULAS IN ROOTS  
dc.subject
SCHUR FUNCTIONS  
dc.subject
SUBRESULTANTS  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Closed formula for univariate subresultants in multiple roots  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2020-09-03T16:57:13Z  
dc.journal.volume
565  
dc.journal.pagination
123-155  
dc.journal.pais
Estados Unidos  
dc.description.fil
Fil: D'Andrea, Carlos. Universidad de Barcelona; España  
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.description.fil
Fil: Valdettaro, Marcelo Alejandro. Universidad de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina  
dc.journal.title
Linear Algebra and its Applications  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.laa.2018.12.010  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/abs/pii/S0024379518305731?via%3Dihub  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1612.05160  

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