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Choosing roots of polynomials smoothly, II

2002/08/31 by Andreas Kriegl, Mark Losik, Peter W. Michor
Mathematics · #math.CA #msc:26C10

paper · pdf

published as Israel J. Math. 139 (2004), 183-188 · Amstex, 5 pages; some misprints corrected

arxiv created 2003/09/10 · arxiv updated 2009/11/30

Abstract

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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