Amir Hashemi
Isfahan university of technology
[ 1 ] - 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.
[ 2 ] - Border Basis of an Ideal of Points and its Application in Experimental Design and Regression
In this paper, we consider the problem of computing the order ideal and the corresponding border basis for the vanishing ideal of a given finite set of points with multiplicity The ideal of points has different applications in science and engineering. In this paper, we focus on presenting some models related to a real experiment and show the role of our approach in providing good statistical p...
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