Details:
Title  Subideal border bases.  Author(s)  Martin Kreuzer, Hennie Poulisse  Type  Article in Journal  Abstract  In modeling physical systems, it is sometimes useful to construct border bases of 0dimensional polynomial ideals which are contained in the ideal generated by a given set of polynomials. We define and construct such subideal border bases, provide some basic properties and generalize a suitable variant of the BuchbergerMöller algorithm as well as the AVIalgorithm of Heldt, Kreuzer, Pokutta, and Poulisse to the subideal setting. The subideal version of the AVIalgorithm is then applied to an actual industrial problem.  ISSN  00255718; 10886842/e 
File 
 URL 
http://www.ams.org/journals/mcom/201180274/S002557182010024329/home.html 
Language  English  Journal  Math. Comput.  Volume  80  Number  274  Pages  11351154  Publisher  American Mathematical Society (AMS), Providence, RI  Year  2011  Edition  0  Translation 
No  Refereed 
No 
