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Improving the Van de Vel root-finding method

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Publication:1836273
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DOI10.1007/BF02242141zbMath0504.65027MaRDI QIDQ1836273

R. F. King

Publication date: 1983

Published in: Computing (Search for Journal in Brave)


zbMATH Keywords

multiplicityefficiencyextrapolationorder of convergencedelta square methodquasi-Newton stepVan de Vel method


Mathematics Subject Classification ID

Extrapolation to the limit, deferred corrections (65B05) Numerical computation of solutions to single equations (65H05)


Related Items (7)

The rate of multiplicity of the roots of nonlinear equations and its application to iterative methods ⋮ Iterative methods for ill-conditioned roots ⋮ On new higher order families of simultaneous methods for finding polynomial zeros ⋮ Multiple root-finding methods ⋮ A study of accelerated Newton methods for multiple polynomial roots ⋮ A higher order family for the simultaneous inclusion of multiple zeros of polynomials ⋮ Locating multiple zeros interactively



Cites Work

  • A method for computing a root of a single nonlinear equation, including its multiplicity
  • An Efficient One-Point Extrapolation Method for Linear Convergence
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