Nonlinear programming in PyOptInterface.

[huiq666]

Dear Sir or Madam,
I would like to inquire about PyOptInterface's capabilities in handling nonlinear programming problems. I have constraint conditions similar to the following formula $\begin{aligned} & DF=\frac{\lambda_{\mathrm{H}}}{\kappa_{\mathrm{H}}\beta_{\mathrm{H}}}(\sum_{i=1,i\neq m}^{N_{\mathrm{G}}}p_{i}q_{i}L_{i}-P_{\mathrm{St,H}})+\ & =\frac{\varepsilon_{\Sigma}\sin\theta+\sigma_{\Sigma}\cos\theta}{\kappa_{\mathrm{H}}\beta_{\mathrm{H}}\omega}\mathrm{e}^{-\alpha_{\mathrm{H}}\tau_{\mathrm{os}}}\ & \tau_{\mathrm{os}}=\frac{\theta+\pi}{\omega}\ & q_{i}=\mathrm{sgn}(p_{i})\end{aligned}$. I would like to know if these constraints can be written into the model using your team's PyOptInterface and solved using Gurobi.

Thank you very much!

Best regards,

[metab0t]

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No, PyOptInterface cannot handle nonlinear constraints in Gurobi now.

In gurobipy, the complex nonlinear constraint must be divided into simpler terms because it can only handle nonlinear constraints like $y=e^x$ and $y=sin(x)$.

If you want features like addgenconstr in gurobipy, we can consider implementing it.