论文标题
多维代数插值
Multidimensional algebraic interpolations
论文作者
论文摘要
Hermite插值公式基于将插值节点作为合适多项式的根的解释。因此，这种公式属于代数插值类。本文考虑了Hermite插值的多维变体，介绍了一类代数的方程系统，其赫米特插值多项式由明确的公式表示。多维残基的理论用作主要工具。
The Hermite interpolation formulas are based on the interpretation of interpolation nodes as roots of suitable polynomials. Therefore, such formulas belong to the class of algebraic interpolations. The article considers a multidimensional variant of Hermite interpolation, presents a class of algebraic systems of equations for which the Hermite interpolation polynomial is represented by an explicit formula. The theory of multidimensional residues is used as the main tool.
