Choosing roots of polynomials smoothly, II

Details Choosing roots of polynomials smoothly, II Choosing roots of polynomials smoothly, II

2002-08-29

arxiv.org/abs/math/0208228v2

Israel J. Math. 139 (2004), 183-188

Mathematics

Classical Analysis and ODEs

Amstex, 5 pages; some misprints corrected

Scientific paper

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

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