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Numerical methods

Why does fixes point iteration not work if the starting x value (x0) is too close to the root.
In my instance it either converges to the other root or diverges away

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Original post by Flofet
Why does fixes point iteration not work if the starting x value (x0) is too close to the root.
In my instance it either converges to the other root or diverges away

Youd have to post the example for a specific answer, but fixed point iteration converges if |g'(x)|<1 on the region of interest. There are loads of examples on the web, such as
https://metric.ma.ic.ac.uk/metric_public/numerical_methods/iteration/fixed_point_iteration.html

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