English

Quasi-optimal multiplication of linear differential operators

Computational Complexity 2016-11-15 v1 Symbolic Computation

Abstract

We show that linear differential operators with polynomial coefficients over a field of characteristic zero can be multiplied in quasi-optimal time. This answers an open question raised by van der Hoeven.

Cite

@article{arxiv.1208.3639,
  title  = {Quasi-optimal multiplication of linear differential operators},
  author = {Alexandre Benoit and Alin Bostan and Joris van der Hoeven},
  journal= {arXiv preprint arXiv:1208.3639},
  year   = {2016}
}

Comments

To appear in the Proceedings of the 53rd Annual IEEE Symposium on Foundations of Computer Science (FOCS'12)

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