  In this paper, we focus on two classes of D-invariant polynomial subspaces.
The first is a classical type, while the second is a new class. With matrix
computation, we prove that every ideal projector with each D-invariant subspace
belonging to either the first class or the second is the pointwise limit of
Lagrange projectors. This verifies a particular case of a C. de Boor's
conjecture asserting that every complex ideal projector is the pointwise limit
of Lagrange projectors. Specifically, we provide the concrete perturbation
procedure for ideal projectors of this type.
