Fractal Characteristics of Newton's Method on Polynomials

In this report, we present a simple geometric generation principle for the fractal that is obtained when applying Newton's method to find the roots of a general complex polynomial with real coefficients. For the case of symmetric polynomials $z^{\nu}-1$ , the generation mechanism is derived fro...

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Bibliographic Details
Main Authors: Drexler, M, Sobey, I, Bracher, C
Format: Report
Published: Unspecified 1996