English

A simple and efficient algorithm for computing the Baker-Campbell-Hausdorff series

Rings and Algebras 2022-12-05 v1

Abstract

A new algorithm for computing coefficients of the Baker--Campbell--Hausdorff series is presented, which can be straightforwardly implemented in any general-purpose programming language or computer algebra system. The algorithm avoids rational arithmetic and performs all its calculations in pure integer arithmetic, allowing for a very efficient implementation. An implementation in the Julia programming language is available.

Keywords

Cite

@article{arxiv.2212.01290,
  title  = {A simple and efficient algorithm for computing the Baker-Campbell-Hausdorff series},
  author = {Harald Hofstätter},
  journal= {arXiv preprint arXiv:2212.01290},
  year   = {2022}
}

Comments

arXiv admin note: substantial text overlap with arXiv:2012.03818

R2 v1 2026-06-28T07:20:39.033Z