This article is cited in 1 paper

Communications
Informatics

Approximation by poised sets of nodes

G. S. Avagyan, L. R. Rafaelyan

Chair of Numerical Analysis and Mathematical Modeling YSU, Armenia

Abstract: In the present paper it has been shown that nodes of any finite set $X\subset\mathbb{R}^d$ can be made independent by arbitrarily small perturbation, in other words, the set $X$ can be approximated by sets of independent nodes. In the case of $\#X=\mathrm{dim}\prod^d_n$ the set $X$ can be approximated by sets of poised nodes.

Keywords: Lagrange interpolation, independent points, poised sets.

Received: 24.10.2011
Accepted: 25.11.2011

Language: English