The Convergence of Approximations to Nonlinear Equations at Simple Turning Points

  • G. Moore
  • A. Spence
Part of the ISNM: International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique book series (ISNM, volume 54)


Standard convergence results for approximations to solutions of non-linear equations rely heavily on such solutions being isolated. In this paper we show how such results can often be extended to certain commonly occurring non-isolated solutions, called simple turning points.


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Copyright information

© Springer Basel AG 1980

Authors and Affiliations

  • G. Moore
    • 1
  • A. Spence
    • 1
  1. 1.School of MathematicsUniversity of BathBathUK

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