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) |
|---|---|
| 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