Improving the DISPGB algorithm using the discriminant ideal
نویسندگان
چکیده
منابع مشابه
Improving Dispgb Algorithm Using the Discriminant Ideal *
In 1992, V. Weispfenning proved the existence of Comprehensive Gröbner Bases (CGB) and gave an algorithm to compute one. That algorithm was not very efficient and not canonical. Using his suggestions, A. Montes obtained in 2002 a more efficient algorithm (DISPGB) for Discussing Parametric Gröbner Bases. Inspired in its philosophy, V. Weispfenning defined, in 2002, how to obtain a Canonical Comp...
متن کاملImproving the DISPGB Algorithm Using the Discriminant Ideal
In 1992, V. Weispfenning proved the existence of Comprehensive Gröbner Bases (CGB) and gave an algorithm for computing one. That algorithm was not very efficient and not canonical. Using his suggestions, A. Montes obtained in 2002 a more efficient algorithm (DISPGB) for Discussing Parametric Gröbner Bases. Inspired by its philosophy, V. Weispfenning defined, in 2002, how to obtain a Canonical C...
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15 صفحه اولApplying Buchberger’s Criteria on Montes’s Dispgb Algorithm
The concepts of comprehensive Gröbner bases and Gröbner systems were introduced by Weispfenning in [13]. Montes in [9] has proposed DisPGB algorithm for computing Gröbner systems. But he has not explicitly used Buchberger’s criteria in his algorithm. In this paper, we show how to apply these criteria on Montes algorithm, and we propose an improved version of DisPGB.
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ژورنال
عنوان ژورنال: Journal of Symbolic Computation
سال: 2006
ISSN: 0747-7171
DOI: 10.1016/j.jsc.2005.09.013