English

Roots multiplicity without companion matrices

Symbolic Computation 2017-03-20 v1

Abstract

We show a method for constructing a polynomial interpolating roots' multiplicities of another polynomial, that does not use companion matrices. This leads to a modification to Guersenzvaig--Szechtman square-free decomposition algorithm that is more efficient both in theory and in practice.

Cite

@article{arxiv.1703.06120,
  title  = {Roots multiplicity without companion matrices},
  author = {Przemysław Koprowski},
  journal= {arXiv preprint arXiv:1703.06120},
  year   = {2017}
}
R2 v1 2026-06-22T18:49:07.211Z