Smoothness of roots of polynomials depending on parameters

DOI10.1007/BF00969937zbMath0429.30007OpenAlexW2074917010MaRDI QIDQ1137670

Michail Bronshtein

Publication date: 1980

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00969937

zbMATH Keywords

zeros of polynomialssmoothness of roots of polynomials depending on parameters

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)

Related Items (13)

Hyperbolic systems with non-diagonalisable principal part and variable multiplicities. I: Well-posedness ⋮ Iterated integrals of polynomials ⋮ The Cauchy problem for properly hyperbolic equations in one space variable ⋮ The Cauchy problem for operators with triple effectively hyperbolic characteristics: Ivrii's conjecture ⋮ A class of quasi-variational inequalities for adaptive image denoising and decomposition ⋮ Energy inequality for non strictly hyperbolic operators in the Gevrey class ⋮ Homogeneous weakly hyperbolic equations with time dependent analytic coefficients ⋮ Minimizing memory effects of a system ⋮ A sufficient condition for well-posedness for systems with time-dependent coefficients ⋮ Some inequalities of Glaeser-Bronšteĭn type ⋮ Some results on the well-posedness for systems with time dependent coefficients ⋮ Selections of bounded variation for roots of smooth polynomials ⋮ Basic matrix perturbation theory

Cites Work

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