English

Algorithms for zero-dimensional ideals using linear recurrent sequences

Symbolic Computation 2017-07-10 v1

Abstract

Inspired by Faug\`ere and Mou's sparse FGLM algorithm, we show how using linear recurrent multi-dimensional sequences can allow one to perform operations such as the primary decomposition of an ideal, by computing the annihilator of one or several such sequences.

Cite

@article{arxiv.1707.01971,
  title  = {Algorithms for zero-dimensional ideals using linear recurrent sequences},
  author = {Vincent Neiger and Hamid Rahkooy and Éric Schost},
  journal= {arXiv preprint arXiv:1707.01971},
  year   = {2017}
}

Comments

LNCS, Computer Algebra in Scientific Computing CASC 2017

R2 v1 2026-06-22T20:40:10.599Z