Minimal quasidifferential of a piecewise linear function in \(\mathbb R^3\) (Q558477)
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scientific article; zbMATH DE number 2186777
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Minimal quasidifferential of a piecewise linear function in \(\mathbb R^3\) |
scientific article; zbMATH DE number 2186777 |
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Minimal quasidifferential of a piecewise linear function in \(\mathbb R^3\) (English)
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6 July 2005
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The main result of the paper deals with pairs of polytopes in \({\mathbb R} ^{3};\) it establishes that for two simple polytopes with nonempty interiors and having only coparallel edges, any minimal common anti-summand is a polytope. As application it is shown that any minimal quasidifferential of a piecewise linear functional on \({\mathbb R}^{3}\) is a pair of polytopes.
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minimal pairs of compact convex sets
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quasidifferentials
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