Closed Kolaru closed 5 years ago
Where are those methods described?
it can also be more seriously fixed by implementing more advanced Krawczyk methods described in the litterature and that claim to avoid the problem altogether (and also faster convergence).
The claim is less obvious that what I remembered (I may have mixed several things in my head), but the two following papers gives refinement on Krawczyk operator that probably mitigates the problem:
https://epubs.siam.org/doi/abs/10.1137/0722048
https://epubs.siam.org/doi/abs/10.1137/0720014
Note that for Newton method on the other hand the claim has been made very clear here (see abstract):
Fixed by #93 by shifting the point of bisection of intervals in Krawczyk method.
while
It can be hotfixed by shifting the point where the Krawczyk operator take the Jacobian (similar to what is done when bisecting an interval), but it can also be more seriously fixed by implementing more advanced Krawczyk methods described in the litterature and that claim to avoid the problem altogether (and also faster convergence).