scientific article

zbMath1109.65049MaRDI QIDQ3424575

Miodrag S. Petković, Lidija Z. Rančić

Publication date: 2 March 2007

Full work available at URL: https://eudml.org/doc/231672

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

algorithmnumerical experimentsaccelerated convergence\(R\)-order of convergencesimultaneous iterative methodsHalley correctionmultiple complex zerosSchröder's correction

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) 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 solutions to single equations (65H05)

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The root and Bell's disk iteration methods are of the same error propagation characteristics in the simultaneous determination of the zeros of a polynomial. II: Round-off error analysis by use of interval arithmetic ⋮ The root and Bell's disk iteration methods are of the same error propagation characteristics in the simultaneous determination of the zeros of a polynomial. I: Correction methods

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