On the computation of Gröbner bases for matrix-weighted homogeneous systems (Q6543085)
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scientific article; zbMATH DE number 7852640
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the computation of Gröbner bases for matrix-weighted homogeneous systems |
scientific article; zbMATH DE number 7852640 |
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On the computation of Gröbner bases for matrix-weighted homogeneous systems (English)
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24 May 2024
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The topic of this paper is the computation of Gröbner bases of certain structured polynomial ideals, namely matrix-weighted homogeneous systems, possibly using several systems of weights. Several algorithms for computing Gröbner bases, based on linear algebra, are proposed. The theoretical results are supported by experimental data that is obtained from a prototype implementation in Sage.
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Gröbner bases
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structured polynomial systems
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weighted homogeneity
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multihomogeneity
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matrices of weights
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matrix-F5 algorithm
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