Details:
Title  Comprehensive involutive systems.  Author(s)  Vladimir P. Gerdt, Amir Hashemi  Type  Book, Chapter in Book, Conference Proceeding  Abstract  In this paper we consider parametric ideals and introduce a notion of comprehensive involutive system. This notion plays the same role in theory of involutive bases as the notion of comprehensive Gröbner system in theory of Gröbner bases. Given a parametric ideal, the space of parameters is decomposed into a finite set of cells. Each cell yields the corresponding involutive basis of the ideal for the values of parameters in that cell. Using the Gerdt–Blinkov algorithm described in [6] for computing involutive bases and also the Montes DisPGB algorithm for computing comprehensive Gröbner systems [13], we present an algorithm for construction of comprehensive involutive systems. The proposed algorithm has been implemented in Maple, and we provide an illustrative example showing the stepbystep construction of comprehensive involutive system by our algorithm.  ISBN  9783642329722/pbk 
URL 
http://link.springer.com/chapter/10.1007%2F9783642329739_9 
Language  English  Pages  98116  Publisher  Berlin: Springer  Year  2012  Edition  0  Translation 
No  Refereed 
No 
