An extension lemma and homogeneous programming (Q761254)
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scientific article; zbMATH DE number 3887454
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An extension lemma and homogeneous programming |
scientific article; zbMATH DE number 3887454 |
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An extension lemma and homogeneous programming (English)
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1985
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An extension lemma, which is equivalent to the generalized Gordan's theorem of the alternative, due to Fan, Glicksberg, and Hoffman, is applied to present a duality theory for a general class of homogeneous programs, with and without a constraint qualification of Slater type. In addition, an existence theorem for optimal solutions of homogeneous programs is given.
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extension lemma
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Gordan's theorem of the alternative
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duality
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existence theorem
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optimal solutions
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homogeneous programs
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