62 citations · 389 across the 51 of their papers we have counts for
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math.CA2006
Perturbation of complex polynomials and normal operators
Armin Rainer
We study the regularity of the roots of complex monic polynomials of fixed degree depending smoothly on a real parameter . We prove that each continuous parameterization…
math.CA2006
Choosing roots of polynomials with symmetries smoothly
Mark Losik, Armin Rainer
The roots of a smooth curve of hyperbolic polynomials may not in general be parameterized smoothly, even not for any . A sufficient condition for the existence of a…