Applying Buchberger’s Criteria on Montes’s Dispgb Algorithm
نویسندگان
چکیده
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.
منابع مشابه
Applying Buchberger's criteria on Montes's DisPGB algorithm
The concept of comprehensive Grobner bases was introduced by Weispfenning. Montes has proposed an efficient algorithm for computing these bases. But he has not explicitly used Buchberger's criteria in his algorithm. In this paper we prove that we can apply these criteria on Montes algorithm. We propose a modified version of Montes algorithm and evaluate its performance via some examples.
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