Generalization of Vieta's formulae to the fractional polynomials, and generalizations of the method of Graeffe-Lobachevsky

zbMath1227.65041MaRDI QIDQ554335

Stanisław Białas, Henryk Górecki

Publication date: 3 August 2011

Published in: Bulletin of the Polish Academy of Sciences. Technical Sciences (Search for Journal in Brave)

Full work available at URL: http://bulletin.pan.pl/(58-4)625.html

zbMATH Keywords

algorithmnumerical examplescomplex polynomialsfractional-order linear systemsfractional-order polynomialsGraeffe-Lobchevsky methodroots of fractional-order polynomialsVieta's formulae

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) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Numerical computation of roots of polynomial equations (65H04)

Related Items (3)

Unnamed Item ⋮ Lyapunov matrices approach to the parametric optimization of a neutral system with two delays ⋮ Root-Squaring for Root-Finding

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