arXiv Open Access 2020

Groebner basis structure of ideal interpolation

Yihe Gong Xue Jiang

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Abstrak

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.

Topik & Kata Kunci

cs.SC math.NA

Penulis (2)

Yihe Gong

Xue Jiang

Format Sitasi

APA MLA BibTeX

Gong, Y., Jiang, X. (2020). Groebner basis structure of ideal interpolation. https://arxiv.org/abs/2007.11830

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2020
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓