Newton's method and Schwarzian derivatives

Julian Palmore

Research output: Contribution to journalArticlepeer-review


We discuss Newton's method with respect to obtaining convergence to a fixed point with orders of convergence greater than 2. We identify the role played by the Schwarzian derivative in controlling the convergence of Newton's map to a super stable fixed point.

Original languageEnglish (US)
Pages (from-to)507-511
Number of pages5
JournalJournal of Dynamics and Differential Equations
Issue number3
StatePublished - Jul 1994


  • Newton's method
  • Schwarzian derivative
  • orders of convergence

ASJC Scopus subject areas

  • Analysis


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