Nonhomogeneous linear theorems of the alternative (Q2714148)
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scientific article; zbMATH DE number 1603935
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonhomogeneous linear theorems of the alternative |
scientific article; zbMATH DE number 1603935 |
Statements
12 June 2001
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linear complementarity problems
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linear programming
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Farkas lemma
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alternative for linear inequality systems
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existence
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0.8948155
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0.8931519
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Nonhomogeneous linear theorems of the alternative (English)
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Nonhomogeneous generalizations of classical theorems of the alternative for linear inequality systems (Gordan, Stiemke, Farkas, Motzkin, Slater, Gale, Tucker, Neumann, Mangasarian) are presented. Also, nonhomogeneous generalizations of classical existence theorems (Tucker) are given. A geometrical interpretation of the results is also shown.
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