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Some Applications of Gröbner Bases
May/June 2004 (vol. 6 no. 3)
pp. 56-60
Eugenio Roanes-Lozano, Universidad Complutense de Madrid
Eugenio Roanes-Mac?as, Universidad Complutense de Madrid
Luis M. Laita, Universidad Politecnica de Madrid
In the March/April issue of CiSE, we discussed the geometry of linear and algebraic systems. We also defined ideals and bases so that we could introduce the concept of Gr?bner bases for algebraic system solving. In this article, we give more details about Gr?bner bases and describe their main application (algebraic system solving) along with some surprising derived ones: inclusion of varieties, automatic theorem-proving in geometry, expert systems, and railway interlocking systems.
Index Terms:
Grobner bases, polynomials, algebraic systems
Citation:
Eugenio Roanes-Lozano, Eugenio Roanes-Mac?as, Luis M. Laita, "Some Applications of Gröbner Bases," Computing in Science and Engineering, vol. 6, no. 3, pp. 56-60, May-June 2004, doi:10.1109/MCSE.2004.52
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