Effective algorithm for computing Noetherian operators of zero-dimensional ideals

Katsusuke Nabeshima, Shinichi Tajima

Research output: Contribution to journalArticlepeer-review

Abstract

We consider Noetherian operators in the context of symbolic computation. Upon utilizing the theory of holonomic D-modules, we present a new method for computing Noetherian operators associated to a zero-dimensional ideal. An effective algorithm that consists mainly of linear algebra techniques is proposed for computing them. Moreover, as applications, new computation methods of polynomial ideals are discussed by utilizing the Noetherian operators.

Original languageEnglish
Pages (from-to)867-899
Number of pages33
JournalApplicable Algebra in Engineering, Communications and Computing
Volume33
Issue number6
DOIs
Publication statusPublished - Dec 2022

Keywords

  • Holonomic D-module
  • Noetherian operators
  • Partial differential operators
  • Primary ideals
  • Zero-dimensional ideals

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