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CM2208 - Solving One Variable Non Linear Equations

visualiseConvergence2

Each color represents the value that is obtained for that given starting value.

The grey area represents points for which the value never converges.

The calculation for these images uses complex numbers.

f(x) = x^16 - 1

Newton method vs Ostrowski method

f(x) = (x^3 - 1)(x^2 + 2)e^-x

Newton method vs Ostrowski method