On the fractal characteristics of a stabilised Newton method

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. Extensi...

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Bibliographic Details
Main Authors: Drexler, M, Sobey, I, Bracher, C
Format: Report
Published: Unspecified 1995