2012 | OriginalPaper | Buchkapitel
Stability Conditions of Monomial Bases and Comprehensive Gröbner Systems
verfasst von : Katsusuke Nabeshima
Erschienen in: Computer Algebra in Scientific Computing
Verlag: Springer Berlin Heidelberg
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A new stability condition of monomial bases is introduced. This stability condition is stronger than Kapur-Sun-Wang’s one. Moreover, a new algorithm for computing comprehensive Gröbner systems, is also introduced by using the new stability condition. A number of segments generated by the new algorithm is smaller than that of segments of in Kapur-Sun-Wang’s algorithm.