On a C. de Boor's Conjecture in a Particular Case and Related Perturbation
Numerical Analysis
2011-02-17 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1102.3201,
title = {On a C. de Boor's Conjecture in a Particular Case and Related Perturbation},
author = {Zhe Li and Shugong Zhang and Tian Dong},
journal= {arXiv preprint arXiv:1102.3201},
year = {2011}
}