Basin Of AttractionYou are currentlybrowsing as guest. Click here to log in |
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For the cubic equation in the complex plane the basins of attraction are fractals.
Here we have coloured each point according to the root that Newton's Method converges to. When close to a root, that's where you end up. However, when nearly equidistant from two roots the derivative is close to zero, so the tangent can take us a long way away. Then we are starting the process from an effectively random point.
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