Roundoff errors for polynomial evaluation by a family of formulae (Q938341)
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scientific article; zbMATH DE number 5313131
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Roundoff errors for polynomial evaluation by a family of formulae |
scientific article; zbMATH DE number 5313131 |
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Roundoff errors for polynomial evaluation by a family of formulae (English)
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19 August 2008
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The classical Lagrange interpolation formula is rewritten in the barycentric form. The authors show that these kind of formulas can be analyzed by making a distinction between the first steps corresponding to computations to high relative accuracy and the final sum, where high relative accuracy cannot be ensured.
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polynomial interpolation
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Lagrange interpolation
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rounding errors analysis
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high relative accuracy
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barycentric form
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