Drexler, Michael and Sobey, Ian and Bracher, C. (1995) On the fractal characteristics of a stabilised Newton method. Technical Report. Unspecified. (Submitted)
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Abstract
In this report, we present a complete theory for the fractal that is obtained when applying Newton's Method to find the roots of a complex cubic. We show that a modified Newton's Method improves convergence and does not yield a fractal, but basins of attraction with smooth borders. Extensions to higher-order polynomials and the numerical relevance of this fractal analysis are discussed.
| Item Type: | Technical Report (Technical Report) |
|---|---|
| Subjects: | H - N > Numerical analysis |
| Research Groups: | Numerical Analysis Group |
| ID Code: | 1332 |
| Deposited By: | Lotti Ekert |
| Deposited On: | 12 Jun 2011 09:53 |
| Last Modified: | 12 Jun 2011 09:53 |
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