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Choosing roots of polynomials smoothly, II

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Abstract

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

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References

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Author information

Authors and Affiliations

  1. Institut für Mathematik, Universität Wien, Strudlhofgasse 4, A-1090, Wien, Austria

    Andreas Kriegl

  2. Saratov State University, ul. Astrakhanskaya, 83, 410026, Saratov, Russia

    Mark Losik

  3. Institut für Mathematik, Universität Wien, Strudlhofgasse 4, A-1090, Wien, Austria

    Peter W. Michor

  4. Erwin Schrödinger Institut für Mathematische Physik, Boltzmanngasse 9, A-1090, Wien, Austria

    Peter W. Michor

Authors
  1. Andreas Kriegl
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  2. Mark Losik
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  3. Peter W. Michor
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Corresponding author

Correspondence to Andreas Kriegl.

Additional information

M. L. and P. W. M. were supported by ‘Fonds zur Förderung der wissenschaftlichen Forschung, Projekt P 14195 MAT’.

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Kriegl, A., Losik, M. & Michor, P.W. Choosing roots of polynomials smoothly, II. Isr. J. Math. 139, 183–188 (2004). https://doi.org/10.1007/BF02787548

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  • DOI: https://doi.org/10.1007/BF02787548

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