Rational interpolation through the optimal attachment of poles to the interpolating polynomial (Q1587014)
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scientific article; zbMATH DE number 1534754
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rational interpolation through the optimal attachment of poles to the interpolating polynomial |
scientific article; zbMATH DE number 1534754 |
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Rational interpolation through the optimal attachment of poles to the interpolating polynomial (English)
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22 November 2000
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For the case when the function to be interpolated is known everywhere, the authors suggest an approximation method. It consists in building a rational interpolant in the barycentric form and optimizing the placement of the poles in such a way as to minimize a given norm of the error. Numerical experiments and two applications of the method are presented.
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rational interpolation
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optimal interpolation
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barycentric form
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numerical experiments
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