Hermite Interpolation Polynomial for Functions of Several Variables.

Autor: Kashpur, O. F.
Předmět:
Zdroj: Cybernetics & Systems Analysis; May2022, Vol. 58 Issue 3, p399-408, 10p
Abstrakt: The Hermite interpolation problem in the Euclidean space is considered, where the value of the function of several variables and its first-order and second-order Gateaux differentials at the interpolation nodes are given. The problem is shown to have a unique solution of minimum norm generated by a scalar product with Gaussian measure in the finite-dimensional Euclidean space. Conditions for invariant solvability and uniqueness of the problem solution are obtained. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index