Gröbner bases, H-bases and interpolation (Q2706613)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Gröbner bases, H-bases and interpolation |
scientific article |
Statements
20 March 2001
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Gröbner bases
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interpolation
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H-bases
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homogeneous polynomials
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reduction algorithm
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Buchberger's algorithm
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Gröbner bases, H-bases and interpolation (English)
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The author gives an algorithmic approach to H-bases which works in terms of homogeneous polynomials only and is based on a reduction algorithm which orthogonalizes homogeneous leading terms instead of canceling them. This allows for an extension of Buchberger's algorithm to construct these H-bases algorithmically.
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