Choosing roots of polynomials with symmetries smoothly

DOI10.5209/rev_REMA.2007.v20.n2.16475zbMath1140.26001arXivmath/0603660MaRDI QIDQ2471408

Armin Rainer, Mark V. Losik

Publication date: 22 February 2008

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0603660

zbMATH Keywords

invariantsrepresentationshyperbolic polynomialsparametrization of the roots

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Real polynomials: analytic properties, etc. (26C05)

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Eigenvalue continuity and Ger\v{s}gorin's theorem ⋮ Quasianalytic multiparameter perturbation of polynomials and normal matrices ⋮ Perturbation of complex polynomials and normal operators

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