Extended parallelism in the Gröbner basis algorithm (Q685087)
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scientific article; zbMATH DE number 417057
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Extended parallelism in the Gröbner basis algorithm |
scientific article; zbMATH DE number 417057 |
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Extended parallelism in the Gröbner basis algorithm (English)
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30 September 1993
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The author presents an implementation of the Buchberger algorithm to compute Gröbner bases of an ideal in the polynomial ring utilizing two different forms of parallelism. A course-grain technique which expands and reduces \(S\)-polynomials in parallel and a fine-grain technique which uses reduction pipelines. An analysis of the implementation and a comparison to other parallel implementations is given.
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shared memory multiprocessors
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Buchberger algorithm
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Gröbner bases
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parallelism
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