Ostrowski-like method with corrections for the inclusion of polynomial zeros

DOI10.1023/B:REOM.0000047094.39609.F6zbMath1075.65070OpenAlexW2037849711MaRDI QIDQ701959

Dušan M. Milošević, Miodrag S. Petković

Publication date: 17 January 2005

Published in: Reliable Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:reom.0000047094.39609.f6

zbMATH Keywords

convergencecircular complex arithmeticfull-step methodHalley's correctioninclusion of polynomial zerosNewton's correctionOstrowski-like algorithm

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

Related Items (7)

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 ⋮ On the convergence condition of generalized root iterations for the inclusion of polynomial zeros ⋮ High order Euler-like method for the inclusion of polynomial zeros ⋮ On the improved Newton-like methods for the inclusion of polynomial zeros ⋮ A higher order family for the simultaneous inclusion of multiple zeros of polynomials ⋮ 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 ⋮ On a new family of simultaneous methods with corrections for the inclusion of polynomial zeros

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