Thanks a lot for the quick and helpful reply (since I use finite differences to 
compute gradients I will try the original Svanberg algorithm)!

-------- Original-Nachricht --------
> Datum: Wed, 29 Feb 2012 11:34:11 -0500
> Von: "Steven G. Johnson" <[email protected]>
> An: nlopt-discuss <[email protected]>
> Betreff: Re: [NLopt-discuss] MMA inner iterations

> 
> On Feb 28, 2012, at 11:53 AM, Sascha Merz wrote:
> > Thanks a lot for providing this great optimization library. One  
> > question that I have is if there is a certain reason that gradients  
> > are computed in the MMA inner iterations.
> 
> Two reasons:
> 
> First, if it is the last inner iteration, then I would have to compute  
> the gradients anyway for the next outer iteration, so I'd have to call  
> the objective function again.  So, there is a tradeoff here, but if  
> computing the gradient is cheap compared to computing the objective  
> function (as is often the case) then it seemed worth it to compute it  
> in each inner iteration just in case that inner iteration is the last.
> 
> Second, I use a slight modification of the Svanberg algorithm, in that  
> if an inner iteration finds a better feasible point but doesn't  
> satisfy the termination conditions for the inner iteration, then I  
> continue the inner iterations with a new approximant based on the new  
> feasible point.
> 
> However, it would be straightforward to modify the code to change the  
> above two behaviors, going back to the original Svanberg algorithm and  
> not computing the gradient during the inner iterations (but  
> recomputing the objective after the inner iterations complete).
> 
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