Lagrange Interpolation in Rs

Abstract:

      In the paper, we give a hypersurface-superposition process and a hyperplane-su-perposition process to construct a properly posed set of nodes for Lagrange interpolation in space π^s_n, and a properly posed set of nodes for Lagrange interpolation along a hypersurface without multiple factors, respectively, and then find out the geometric structure between the two kinds of properly posed sets of nodes.