Optimally stable multivariate bases (Q1424950)
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scientific article; zbMATH DE number 2057587
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Optimally stable multivariate bases |
scientific article; zbMATH DE number 2057587 |
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Optimally stable multivariate bases (English)
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15 March 2004
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For spaces of multivariate polynomials and multivariate splines, bases of triangular Bernstein polynomials and tensor product B-splines are most useful due to a variety of their properties. Among those, the nonnegativity or even a partition of unity property are important. In this paper, their numerical stability/conditioning is shown to be optimal as a new important aspect.
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optimal stability
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condition number
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tensor product B-spline
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triangular Bernstein basis
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