Border bases of positive dimensional polynomial ideals
Yufu Chen, Xiaohui Meng · 2007
The border bases were generalized to general polynomial ideals (zero and positive dimensional ideals). A new algorithm to compute a border basis for a given polynomial system w.r.t. a specified term order was presented. This algorithm computes a border basis, as well as a reduced Gröbner basis for the polynomial system. A particular eigenvector method to find some components of positive dimensional polynomial systems was sketched too.