# IDEAL INTERPOLATION: MOURRAIN’S CONDITION VS D-INVARIANCE

@inproceedings{Gnatowska2001IDEALIM, title={IDEAL INTERPOLATION: MOURRAIN’S CONDITION VS D-INVARIANCE}, author={Ewa Małgorzata Gnatowska}, year={2001} }

- Published 2001

Mourrain [Mo] characterizes those linear projectors on a finite-dimensional polynomial space that can be extended to an ideal projector, i.e., a projector on polynomials whose kernel is an ideal. This is important in the construction of normal form algorithms for a polynomial ideal. Mourrain’s characterization requires the polynomial space to be ‘connected to 1’, a condition that is implied by D-invariance in case the polynomial space is spanned by monomials. We give examples to show that, for… CONTINUE READING