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I've got a complicated expression for my constraint function $g(x)$, too complicated to let Mathematica compute the derivatives symbolically. By forcing only numeric inputs, IPOPT does (it appears) an approximation of the derivatives. But I can come up with a direct, simple expression for those derivatives in a callable function. Is there a simple not-documented option to provide my own callable function? I know there is using IPOPT directly.

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  • $\begingroup$ This sounds like you are referring to automatic differentiation, which has been the topic of a few posts mathematica.stackexchange.com/questions/1873/… mathematica.stackexchange.com/questions/85682/… and AceGEN is mentioned in theses threads wolfram.com/products/applications/acegen $\endgroup$ Oct 27, 2021 at 15:24
  • $\begingroup$ Not quite, since I have an approximation to the Hessian (for example) that I want to use, that is simpler than what I would get from auto diff. But I will follow the link, thanks! $\endgroup$
    – MikeY
    Oct 27, 2021 at 15:31
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    $\begingroup$ Aha, I see. If you are using FindMinimum does have a "Gradient" option that should allow you to specify your function, and "Method"->"InteriorPoint" appears to use IPOPTLink $\endgroup$ Oct 27, 2021 at 15:45
  • $\begingroup$ Thanks...I'd also want to be able to specify (from the IPOPT docs) the Jacobian of the constraints and the Hessian of the Lagrangian function. Sounds like there is no mechanism. $\endgroup$
    – MikeY
    Oct 29, 2021 at 18:11

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