Details:
Title  Stable border bases for ideals of points  Author(s)  John Abbott, Claudia Fassino, MariaLaura Torrente  Type  Article in Journal  Abstract  Let X be a set of points whose coordinates are known with limited accuracy; our aim is to give a characterization of the vanishing ideal I ( X ) independent of the data uncertainty. We present a method to compute, starting from X , a polynomial basis B of I ( X ) which exhibits structural stability, that is, if X ˜ is any set of points differing only slightly from X , there exists a polynomial set B ˜ structurally similar to B , which is a basis of the perturbed ideal I ( X ˜ ) .  Keywords  Empirical points, Vanishing ideal, Border bases  ISSN  07477171 
URL 
http://www.sciencedirect.com/science/article/pii/S0747717108000758 
Language  English  Journal  Journal of Symbolic Computation  Volume  43  Number  12  Pages  883  894  Year  2008  Edition  0  Translation 
No  Refereed 
No 
