The Gröbner bases of the ideal generated by the symmetric functions are presented. Moreover we show how they can be fruitfully applied to a problem arising from coding theory.
Gröbner Bases with Respect to Generalized Term Orders and their Application to the Modelling Problem
✍ Scribed by FRANZ PAUER; SANDRO ZAMPIERI
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 544 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0747-7171
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✦ Synopsis
We present an algorithm to decide whether a homogeneous linear partial difference equation with constant coefficients provides an unfalsified model for a finite set of observations, which consist in multiindexed signals, known on a finite subset of N n . To this aim we introduce the concept of "generalized term order" and extend the theory of Gröbner bases accordingly.
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