Nearly optimal interpolation of data in \(C^2 (\mathbb{R}^2)\). I. (Q427931)
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scientific article; zbMATH DE number 6047126
| Language | Label | Description | Also known as |
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| English | Nearly optimal interpolation of data in \(C^2 (\mathbb{R}^2)\). I. |
scientific article; zbMATH DE number 6047126 |
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Nearly optimal interpolation of data in \(C^2 (\mathbb{R}^2)\). I. (English)
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18 June 2012
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Summary: Given \(\epsilon > 0\), we compute a function taking prescribed values at \(N\) given points in \(\mathbb{R}^2\), whose \(C^2\)-norm is within a factor \((1 + \epsilon)\) of least possible. The computation takes \(C(\epsilon)N\log N\) computer operations.
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interpolation
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\(C^2\)-norm
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efficient algorithm
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