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}
}
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

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