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Properties of Gröbner Bases and Applications to Doubly Periodic Arrays

✍ Scribed by Mulan Liu; Lei Hu

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 430 KB
Volume: 26
Category: Article
ISSN: 0747-7171
DOI: 10.1006/jsco.1998.0213

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✦ Synopsis

In this paper the properties of Gröbner bases of zero-dimensional ideals are studied. A basis of the space of linear recurring arrays and the trace expression of linear recurring arrays are given.

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It is known that the reduced Gröbner basis of general polynomial ideals can be computed in exponential space. The algorithm, obtained by Kühnle and Mayr, is, however, based on rather complex parallel computations, and, above that, makes extensive use of the parallel computation thesis. In this paper