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Bounds for the R-order of certain iterative numerical processes

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Publication:1077131
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DOI10.1007/BF01933753zbMath0594.65032OpenAlexW1981758542MaRDI QIDQ1077131

Jürgen Herzberger

Publication date: 1986

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01933753

zbMATH Keywords

polynomialsconvergence orderUpper and lower boundspositive real rootR-order of iterative processesroots of


Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05) Numerical solutions to equations with nonlinear operators (65J15) Real polynomials: location of zeros (26C10)


Related Items

Explicit bounds for the positive root of classes of polynomials with applications, Note on the estimation of the order of convergence of some iterative methods



Cites Work

  • On the R-order of some recurrences with applications to inclusion- methods
  • Optimal iterative processes for root-finding
  • Über die Konvergenzordnungen einiger Klassen intervallmäßiger Iterationsverfahren
  • Convergence of Multipoint Iterative Methods
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