论文标题
一个四元离子变量的多元拉格朗格插值和多项式
Multivariate Lagrange interpolation and polynomials of one quaternionic variable
论文作者
论文摘要
本文认为，在一个真实或复杂变量中扩展了经典的Lagrange插值扩展到“一个Quaternionic变量的多项式”。为此，我们发展了此类多项式理论的某些方面。然后，我们为$ {\ mathbb {r}}^4 $和$ {\ Mathbb {C}}^2 $提供了许多相关的多元多项式插值方案，具有良好的几何特性，以及最少的interpolation和Kergin interpolation的某些方面。
This paper considers the extension of classical Lagrange interpolation in one real or complex variable to "polynomials of one quaternionic variable". To do this we develop some aspects of the theory of such polynomials. We then give a number of related multivariate polynomial interpolation schemes for ${\mathbb{R}}^4$ and ${\mathbb{C}}^2$ with good geometric properties, and some aspects of least interpolation and of Kergin interpolation.
