English

On the Jordan--Chevalley decomposition of a matrix

Rings and Algebras 2022-05-19 v2

Abstract

The purpose of this note is to advertise an elegant algorithmic proof for the Jordan--Chevalley decomposition of a matrix, following and (slightly) revising the discussion of Couty, Esterle und Zarouf (2011). The basic idea of that method goes back to Chevalley (1951).

Keywords

Cite

@article{arxiv.2205.05432,
  title  = {On the Jordan--Chevalley decomposition of a matrix},
  author = {Meinolf Geck},
  journal= {arXiv preprint arXiv:2205.05432},
  year   = {2022}
}

Comments

6 pages; minor corrections