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Improve adjustment of search domains #35

@PhilippSchuette

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@PhilippSchuette

Currently we implement the most basic adjustment strategy imaginable for search (sub-)rectangles: If a root falls exactly on the rectangle boundary then the boundary gets adjusted. This should be improved as follows:

  • Rectangle boundaries should already be adjusted if f'(z) / f(z) becomes too small (substitution in the argument principle integral shows that f'(z) / f(z) ~ 1 / d where d is the distance to the nearest root of f(z)).
  • The strategy regarding how that particular boundary segment gets adjusted should be improved (the resulting rectangle should reliably be larger, not smaller).

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