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arXiv · 0905.1090

Subideal Border Bases

Martin Kreuzer·Henk Poulisse
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Abstract

In modeling physical systems it is sometimes useful to construct border bases of 0-dimensional polynomial ideals which are contained in the ideal generated by a given set of polynomials. We define and construct such subideal border bases, provide some basic properties and generalize a suitable variant of the Buchberger-Moeller algorithm as well as the AVI-algorithm to the subideal setting. The subideal version of the AVI-algorithm is then applied to an actual industrial problem.

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Martin Kreuzer, Henk Poulisse. 2009-05-07. Subideal Border Bases. https://arxiv.org/abs/0905.1090

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