4 papers · 1 filter
Error Formulas for Ideal Interpolation
Yihe Gong, Xue Jiang, Zhe Li +1
In this paper we study the algebraic structure of error formulas for ideal interpolation. We introduce the so-called "normal" error formulas and prove that the lexicographic order…
On a C. de Boor's Conjecture in a Particular Case and Related Perturbation
Zhe Li, Shugong Zhang, Tian Dong
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 e…
On existence of certain error formulas for a special class of ideal projectors
Zhe Li, Shugong Zhang, Tian Dong
In this paper, we focus on a special class of ideal projectors. With the aid of algebraic geometry, we prove that for this special class of ideal projectors, there exist "good" err…
Ideal Projectors of Type Partial Derivative and Their Perturbations
Zhe Li, Shugong Zhang, Tian Dong
In this paper, we verify Carl de Boor's conjecture on ideal projectors for real ideal projectors of type partial derivative by proving that there exists a positive $η\in \mathbb{R}…