On Linear Inequality Systems with Smooth Coefficients
M. A. Goberna,
L. Hernández and
M. I. Todorov
Additional contact information
M. A. Goberna: Universidad de Alicante
L. Hernández: Universidad Autónoma de Puebla
M. I. Todorov: Universidad de las Américas
Journal of Optimization Theory and Applications, 2005, vol. 124, issue 2, No 6, 363-386
Abstract:
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] functions of the index on this interval. This paper provides sufficient conditions for a given closed convex set to be the solution set of a certain polynomial or at least analytical system.
Keywords: Linear systems; closed convex sets; linear semi-infinite programming (search for similar items in EconPapers)
Date: 2005
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DOI: 10.1007/s10957-004-0941-1
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