On a certain duality for segmented minmax problems (Q1271534)
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scientific article; zbMATH DE number 1220839
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a certain duality for segmented minmax problems |
scientific article; zbMATH DE number 1220839 |
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On a certain duality for segmented minmax problems (English)
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11 October 1999
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Minimax problems are considered, where the set of parameters consists of a finite number of knots from a real interval. The segmented approximation by splines with free knots leads to well-known questions, not all of which have been answered satisfactorily up to now. This paper brings new ideas since many such problems can be interpreted as duality problems. A nonstandard duality problem is introduced and the corresponding theory is developed. Several applications and some computational problems are discussed.
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minimax problems
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splines
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duality problems
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