On the R-order of convergence of a family of methods for simultaneous extraction of part of all roots of algebraic polynomials

DOI10.1023/A:1021964823349zbMath1017.65045OpenAlexW279284990MaRDI QIDQ1860955

Nikolay Kyurkchiev, A. I. Iliev

Publication date: 11 August 2003

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1021964823349

zbMATH Keywords

spectral radiusR-order of convergencetotal-step methodroots of algebraic polynomialsWeierstrass-Durand-Kerner-Dochev type single-step methods

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) Numerical computation of solutions to single equations (65H05) Real polynomials: location of zeros (26C10)

Related Items (4)

A derivative-free iterative method for simultaneously computing an arbitrary number of zeros of nonlinear equations ⋮ Some methods for simultaneous extraction of a part of all multiple roots of algebraic polynomials ⋮ On a generalization of the Euler-Chebyshev method for simultaneous extraction of only a part of all roots of polynomials ⋮ Iterative methods for simultaneous computing arbitrary number of multiple zeros of nonlinear equations

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