Inclusion Weierstrass-like root-finders with corrections

DOI10.2298/FIL0317143PzbMath1084.65052OpenAlexW1964592243MaRDI QIDQ3369065

Miodrag S. Petković, Dušan M. Milošević, Ljiljana D. Petković

Publication date: 13 February 2006

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil0317143p

zbMATH Keywords

numerical examplesinterval arithmeticconvergence ratemultiple zerosimple zeroinversion in centered formSchröder's correctionsimultaneous inclusion method

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)

Related Items (4)

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 ⋮ Weierstrass-like methods with corrections for the inclusion of polynomial zeros ⋮ Derivative free inclusion methods for polynomial zeros ⋮ 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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