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Reference: Michael Drexler, Ian Sobey and C. Bracher, (1995). On the fractal characteristics of a stabilised Newton method. Unspecified.Citable link to this page:

 

On the fractal characteristics of a stabilised Newton method

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.

Bibliographic Details

Issue Date: 1995-12Identifiers

Urn: uuid:513a20d1-239e-4f14-b703-c4106fab96c8 Item Description

Type: Technical Report;

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Author: Michael Drexler - - - Ian Sobey - - - C. Bracher - - - - Bibliographic Details Issue Date: 1995-12 - Identifiers Urn: uuid:513a20

Source: https://ora.ox.ac.uk/objects/uuid:513a20d1-239e-4f14-b703-c4106fab96c8



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