Sign conditions for the existence of at least one positive solution of a sparse polynomial system

dc.creatorBihan, Frédéric
dc.creatorDickenstein, Alicia Marcela
dc.creatorGiaroli, Magalí Paola
dc.date.accessioned2021-07-26T12:13:49Z
dc.date.accessioned2022-10-14T23:34:29Z
dc.date.available2021-07-26T12:13:49Z
dc.date.available2022-10-14T23:34:29Z
dc.date.created2021-07-26T12:13:49Z
dc.date.issued2020-12
dc.identifierBihan, Frédéric; Dickenstein, Alicia Marcela; Giaroli, Magalí Paola; Sign conditions for the existence of at least one positive solution of a sparse polynomial system; Academic Press Inc Elsevier Science; Advances in Mathematics; 375; 12-2020; 1-28
dc.identifier0001-8708
dc.identifierhttp://hdl.handle.net/11336/136895
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/4319987
dc.description.abstractWe give sign conditions on the support and coefficients of a sparse system of d generalized polynomials in d variables that guarantee the existence of at least one positive real root, based on degree theory and Gale duality. In the case of integer exponents, we relate our sufficient conditions to algebraic conditions that emerged in the study of toric ideals.
dc.languageeng
dc.publisherAcademic Press Inc Elsevier Science
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1016/j.aim.2020.107412
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/abs/pii/S0001870820304400?via%3Dihub
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/restrictedAccess
dc.subjectDEGREE THEORY
dc.subjectDOMINATING MATRIX
dc.subjectGALE DUALITY
dc.subjectPOSITIVE SOLUTION
dc.subjectREAL SOLUTION
dc.subjectSPARSE POLYNOMIAL SYSTEM
dc.titleSign conditions for the existence of at least one positive solution of a sparse polynomial system
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion


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