Hermite Interpolation Polynomial for Functions of Several Variables.
Autor: | Kashpur, O. F. |
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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 |
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