Separating the solution sets of analytical and polynomial systems |
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| Authors: | Miguel Angel Goberna Lidia Hernández Maxim I. Todorov |
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| Affiliation: | (1) Departmento de Estadística e Investigación Operativa, Universidad de Alicante, 03080 Alicante, Spain;(2) Facultad de Ciencias Físico Matemáticas, Benemérita Universidad Autónoma de Puebla, 72500 Puebla, Mexico;(3) Departamento de Física y Matemáticas, Escuela de Ciencias, Universidad de las Americas, Sta. Catarina Mártir, 72820 Cholula, Puebla, Mexico |
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| Abstract: | A linear inequality system with infinitely many constraints is polynomial (analytical) if its index set is a compact interval of the real line and all its coefficients 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. Research supported by DGES of Spain and FEDER of UE, Grant BFM2002-04114-C02-01. Research supported by CONACyT of Mexico, Grant 130036. Research partially supported by CONACyT of Mexico, Grant 44003. |
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| Keywords: | Linear semi-infinite programming linear systems convex sets |
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