APPROXIMATION BY POISED SETS OF NODES

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 #$X =\dim\Pi_n^d$ the set $X$ can be approximated by sets of poised nodes.