Descartes' rule of signs for polynomial systems supported on circuits

dc.creatorBihan, Frédéric
dc.creatorDickenstein, Alicia Marcela
dc.date.accessioned2018-08-15T11:17:03Z
dc.date.accessioned2018-11-06T12:38:46Z
dc.date.available2018-08-15T11:17:03Z
dc.date.available2018-11-06T12:38:46Z
dc.date.created2018-08-15T11:17:03Z
dc.date.issued2017-11
dc.identifierBihan, 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.identifier1073-7928
dc.identifierhttp://hdl.handle.net/11336/55568
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1868660
dc.description.abstractWe 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.languageeng
dc.publisherOxford University Press
dc.relationinfo: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.relationinfo:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1093/imrn/rnw199
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/restrictedAccess
dc.subjectDescartes' rule of signs
dc.subjectmultivariate polynomial
dc.subjectreal roots
dc.subjectsign variation
dc.titleDescartes' rule of signs for polynomial systems supported on circuits
dc.typeArtículos de revistas
dc.typeArtículos de revistas
dc.typeArtículos de revistas


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