Aitken-Neville sets, principal lattices and divided differences (Q1008714)
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scientific article; zbMATH DE number 5534943
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Aitken-Neville sets, principal lattices and divided differences |
scientific article; zbMATH DE number 5534943 |
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Aitken-Neville sets, principal lattices and divided differences (English)
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30 March 2009
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The multivariate polynomial interpolation is related to generalized principal lattices. It is shown that any generalized principal lattice is an Aitken-Neville configuration (and so can be evaluated by iterated linear interpolation). The converse will be shown for dimension 2 and \(dg\geq3\). The divided differences, associated to Aitken-Neville configuration are considered and their spline representation is derived.
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polynomial interpolation
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principal lattice
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Aitken-Neville set
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divided difference
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multivariate
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Aitken-Neville configuration
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iterated linear interpolation
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spline representation
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