Hull-volume with applications to convergence analysis (Q438780)
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scientific article; zbMATH DE number 6062509
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hull-volume with applications to convergence analysis |
scientific article; zbMATH DE number 6062509 |
Statements
Hull-volume with applications to convergence analysis (English)
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31 July 2012
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The author defines concepts of presimplicial decompositions, coverings and tilings and develops hull-volume estimates and formulas. Furthermore, various existence results are proved and the relationships between decompositions, coverings and tilings are discussed. The estimates are applied to the convergence analysis of sequences of hull-volumes like those associated with the iterate-sets generated by reduce-or-retreat methods.
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polytope
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convex hull
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simplex
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numerical optimization
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convergence analysis
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hull-volume estimates
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