Abstract
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 language | English (US) |
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Pages (from-to) | 507-511 |
Number of pages | 5 |
Journal | Journal of Dynamics and Differential Equations |
Volume | 6 |
Issue number | 3 |
DOIs | |
State | Published - Jul 1994 |
Keywords
- Newton's method
- Schwarzian derivative
- orders of convergence
ASJC Scopus subject areas
- Analysis