Strong unicity and alternation for linear optimization |
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Authors: | T Fischer |
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Institution: | (1) Fachbereich Mathematik, Johann Wolfgang Goethe-Universität, Frankfurt, Germany |
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Abstract: | We consider linear semi-infinite optimization problems and prove characterizations for strong unicity. One of these is a weak alternation property. This result suggests the introduction of the property of regular strong unicity, which is equivalent to a stronger alternation property. The theorems are used in order to prove a Haar-type theorem for linear optimization problems. An application to best Chebyshev approximation is given.Communicated by A. V. Fiacco |
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Keywords: | Linear semi-infinite optimization parametric programming strong unicity alternation Haar's theorem |
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