2011/02/12 by Zhe Li, Li, Zhe, Shugong Zhang +3
Computer Science · Engineering · Mathematics · #13P10 #41A80 #65D05 #Advanced Numerical Analysis Techniques #Commutative Algebra and Its Applications #FOS: Mathematics #Numerical Analysis (math.NA) #Polynomial and algebraic computation
paper · pdf · doi:10.48550/arxiv.1102.2473
openalex publication_date 2011/02/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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" error formulas as defined by C. de Boor. Furthermore, we completely analyze the properties of the interpolation conditions matched by this special class of ideal projectors, and show that the ranges of this special class of ideal projectors are the minimal degree interpolation spaces with regard to their associated interpolation conditions.