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Newton Basins

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Description: Article about the basins of attraction for the Newton's method for finding roots of equations and their resulting representation in the complex plane. Includes mathematical framework and examples.
Newton's method for finding solutions to equations leads to some fantastic images when it's applied to complex functions. You start with an initial guess for the solution which may be any number, and the method gives you a closer estimate to the solution. The next estimate will be even closer. Anyway, that's what often happens.
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activated: 30-Aug-1990
last updated: 09-Jan-2013
expires: 31-Jul-2014