Een stukje documentatie over NEWTON-fractals uit fractint.exe (19.2)

Terug naar de vorige pagina.

The Newton formula is an algorithm used to find the roots of polynomial equations by successive "guesses" that converge on the correct value as you feed the results of each approximation back into the formula. It works very well -- unless you are unlucky enough to pick a value that is on a line BETWEEN two actual roots. In that case, the sequence explodes into chaos, with results that diverge more and more wildly as you continue the iteration.

This fractal type shows the results for the polynomial Z^n - 1, which has n roots in the complex plane.

Terug naar de vorige pagina.