A new method for the construction of multivariate minimal interpolation polynomial
The interpolation is called extended Hermite interpolation problem when the interpolation conditions involve a linear combination of the values of the function and its derivatives at several points. A new method to construct minimal multivariate polynomials which satisfy the interpolation conditions is proposed. The proof is based on an algorithm to computers the Gröbner basis of the ideal.
scientific article; zbMATH DE number 1649009