UDC 517.988
SOLVING THE HERMITE INTERPOLATION PROBLEM
IN A FINITE-DIMENSIONAL EUCLIDEAN SPACE
Abstract. We consider the solution of the Hermite interpolation problem in the Euclidean space in the case where the values of the multivariable function and the values of its first-order Gato derivatives at the interpolation nodes are given. The problem is shown to have a unique solution of the minimum norm in the case of under-determinacy. The conditions of invariant solvability and uniqueness of the problem solution are obtained.
Keywords: Hermite interpolation polynomial, Gato differential, Hilbert space, Euclidean space, minimum norm.
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