Deformation of roots of polynomials via fractional derivatives

DOI10.1016/j.jsc.2012.05.011zbMath1261.65046OpenAlexW2059351679MaRDI QIDQ1940928

Andre Galligo

Publication date: 11 March 2013

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2012.05.011

zbMATH Keywords

fractional derivativesnumerical examplesdeformationhomotopypatternsrandom polynomialscomplex critical pointsFD-curveroots of real univariate polynomialsstems

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Symbolic computation and algebraic computation (68W30) Fractional derivatives and integrals (26A33) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Numerical computation of roots of polynomial equations (65H04)

Related Items (2)

Algebraic approach to univariate polynomial derivation ⋮ On mixed polynomials of bidegree \((n,1)\)

Uses Software

• Maple

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