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Choosing roots of polynomials smoothly

Dmitri Alekseevsky·Andreas Kriegl·Mark Losik·Peter W. Michor
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Abstract

We clarify the question whether for a smooth curve of polynomials one can choose the roots smoothly and related questions. Applications to perturbation theory of operators are given.

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BibTeXRIS

Dmitri Alekseevsky, Andreas Kriegl, Mark Losik, Peter W. Michor. 1998-01-07. Choosing roots of polynomials smoothly. https://arxiv.org/abs/math/9801026

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