论文标题
理想插值的基础基础结构
Groebner basis structure of ideal interpolation
论文作者
论文摘要
我们研究了零维理想的某些groebner碱基与理想插值的插值条件功能之间的关系。理想的插值由线性型投影仪定义，其内核是多项式理想。在本文中，我们提出了“反向”完全减少的概念。基于该概念，我们提出了一种快速算法，以计算在任意兼容的订单下为理想投影仪内核减少的groebner基础。作为一个应用程序，我们表明知道仿射品种可提供有关减少Groebner基础的信息。
We study the relationship between certain Groebner bases for zero dimensional ideals, and the interpolation condition functionals of ideal interpolation. Ideal interpolation is defined by a linear idempotent projector whose kernel is a polynomial ideal. In this paper, we propose the notion of "reverse" complete reduced basis. Based on the notion, we present a fast algorithm to compute the reduced Groebner basis for the kernel of ideal projector under an arbitrary compatible ordering. As an application, we show that knowing the affine variety makes available information concerning the reduced Groebner basis.
