Artículo

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

Bihan, Frédéric; Dickenstein, Alicia MarcelaIcon ; Giaroli, Magalí PaolaIcon
Fecha de publicación: 12/2020
Editorial: Academic Press Inc Elsevier Science
Revista: Advances in Mathematics
ISSN: 0001-8708
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

We 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.
Palabras clave: DEGREE THEORY , DOMINATING MATRIX , GALE DUALITY , POSITIVE SOLUTION , REAL SOLUTION , SPARSE POLYNOMIAL SYSTEM
 
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info:eu-repo/semantics/restrictedAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/136895
DOI: https://doi.org/10.1016/j.aim.2020.107412
URL: https://www.sciencedirect.com/science/article/abs/pii/S0001870820304400?via%3Dih
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Articulos(IMAS)
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Citación
Bihan, 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
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