Hello there
I just want to inquire a bit about the SQP algorithm and where it works best. First of all, I am aware that for NLPs, you really need to tune the solver settings (e.g. which linsolver to use, how the barrier is updated in the IP methods, etc.) quite a bit in order for it to work best with your given problem.
I have found for my problem that the SQP method works quite good. In my case, my number of decision variable is quite small (n<=20), but I have a huge number of constraints (more than 100*n). However, only a very few number of constraint will be active at the optimal solution (less than 5% of the constraints, I would say). Also, my function evaluations dominates the total time.
Thanks and kind regards