Solving Hermite Interpolation Problem in Finite-Dimensional Euclidean Space

被引：0
|
作者：
O. F. Kashpur
机构：
[1] Taras Shevchenko National University of Kyiv,
来源：
Cybernetics and Systems Analysis | 2022年 / 58卷
关键词：
Hermite interpolation polynomial; Gateaux differential; Hilbert space; Euclidean space; minimum norm;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The Hermite problem in the Euclidean space is considered, where the value of a function of several variables and its first-order Gateaux differentials at the interpolation nodes are given. The problem is shown to have a unique minimum-norm solution in the case of underdefiniteness. Conditions for invariant solvability and uniqueness of the problem solution are obtained.
引用
收藏
页码：259 / 267
页数：8
相关论文
共 50 条
12345