How does fmincon works? Changing not binding restrictions changes the result
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Hello.
I am working with the function fmincon and I have noticed that changing a restriction can alter the result even when this restriction is not binding.
For example, I am using the code
[theta] = fmincon('gmmsimobj2',theta0,[0 -5 -1],[0],[],[],[0.001 -1 0],[1 0 1],[],foptions,simfunc,e,sp,beta,momfunc,y,mp,alg,W);
Which gives me a result of theta=[0.0177 0 6.8070e-005].
Then I change some restrictions that were not binding before
[theta] = fmincon('gmmsimobj2',theta0,[0 -5 -1],[0],[],[],[0.001 -inf 0],[inf 0 inf],[],foptions,simfunc,e,sp,beta,momfunc,y,mp,alg,W);
This gives a result of theta=[0.0148 -7.7908e-004 0.0039], which in fact was a possible answer in the last excercise (it did not violate any of the previous restrictions).
Could you tell me why the result changes? I do not know exactly how this function works. How can these changes in the restrictions affect the result?
Thank you! Javier
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