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dc.contributor.author
Bihan, Frédéric  
dc.contributor.author
Dickenstein, Alicia Marcela  
dc.date.available
2018-08-15T11:17:03Z  
dc.date.issued
2017-11  
dc.identifier.citation
Bihan, Frédéric; Dickenstein, Alicia Marcela; Descartes' rule of signs for polynomial systems supported on circuits; Oxford University Press; International Mathematics Research Notices; 2017; 22; 11-2017; 6867-6893  
dc.identifier.issn
1073-7928  
dc.identifier.uri
http://hdl.handle.net/11336/55568  
dc.description.abstract
We give a multivariate version of Descartes' rule of signs to bound the number of positive real roots of a system of polynomial equations in n variables with n+2 monomials, in terms of the sign variation of a sequence associated both to the exponent vectors and the given coefficients. We show that our bound is sharp and is related to the signature of the circuit.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Oxford University Press  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Descartes' Rule of Signs  
dc.subject
Multivariate Polynomial  
dc.subject
Real Roots  
dc.subject
Sign Variation  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Descartes' rule of signs for polynomial systems supported on circuits  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2018-08-14T14:12:44Z  
dc.journal.volume
2017  
dc.journal.number
22  
dc.journal.pagination
6867-6893  
dc.journal.pais
Reino Unido  
dc.journal.ciudad
Oxford  
dc.description.fil
Fil: Bihan, Frédéric. Université Savoie Mont Blanc; Francia  
dc.description.fil
Fil: Dickenstein, Alicia Marcela. 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.journal.title
International Mathematics Research Notices  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://academic.oup.com/imrn/article-abstract/doi/10.1093/imrn/rnw199/2549086/Descartes-Rule-of-Signs-for-Polynomial-Systems  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1093/imrn/rnw199  

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