Separating the Solution Sets of Analytical and Polynomial Systems.

• Autores: Maxim Ivanov Todorov , Miguel Ángel Goberna Torrent , Lidia Hernández
• Localización: Top, ISSN-e 1863-8279, ISSN 1134-5764, Vol. 13, Nº. 2, 2005, págs. 321-330
• Idioma: inglés
• DOI: 10.1007/bf02579058
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• Resumen

  • A linear inequality system with infinitely many constraints is polynomial (analyti- cal) if its index set is a compact interval of the real line and all its coe_cients are polynomial (analytical, respectively) functions of the index on this interval. This paper provides an example of analytical system whose solution set cannot be the solution set of any polynomial system.