English

Choosing roots of polynomials smoothly, II

Classical Analysis and ODEs 2007-05-23 v2

Abstract

We show that the roots of any smooth curve of polynomials with only real roots can be parametrized twice differentiably (but not better).

Keywords

Cite

@article{arxiv.math/0208228,
  title  = {Choosing roots of polynomials smoothly, II},
  author = {Andreas Kriegl and Mark Losik and Peter W. Michor},
  journal= {arXiv preprint arXiv:math/0208228},
  year   = {2007}
}

Comments

Amstex, 5 pages; some misprints corrected

R2 v1 2026-07-22T16:47:19.276Z