Constructing nested nodal sets for multivariate polynomial interpolation (Q2870645)
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scientific article; zbMATH DE number 6248295
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Constructing nested nodal sets for multivariate polynomial interpolation |
scientific article; zbMATH DE number 6248295 |
Statements
21 January 2014
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greedy optimization
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multivariate polynomial interpolation
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Vandermonde determinant
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Vandermonde condition number
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Lebesgue constant
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Constructing nested nodal sets for multivariate polynomial interpolation (English)
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The authors introduce a robust method for choosing multivariate polynomial interpolation nodes. Their method can produce an arbitrary number of nodes and is not constrained by the dimension of a complete polynomial space. They also present examples to show that the method yields nodal sets that behave well with respect to standard interpolation diagnostics: the Lebesgue constant, the Vandermonde determinant, and the Vandermonde condition number.
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