Multivariate Lagrange Interpolation Defined on Hyperboloid

Abstract

The multivariate Lagrange interpolation problem, which is usually defined on the hyperboloid of two sheets, is often studied in practical scientific research and production. Multivariate Lagrange interpolation is proposed to define the definition of hyperboloid of two sheets, given to determine whether the node group on an hyperboloid of two sheets forms judgment theorem and superposition method to construct interpolation regular set of nodes, finally is to implement the method.