# Conic formulation with binary variables in Gurobi

I have a constraint of the following form

$$x^2 \leq yz$$

where $$z$$ is binary, $$y \geq 0$$, and $$x$$ is free. Can Gurobi handle this constraint?

• They do quadratically constrained optimization. – logarithm May 15 at 23:09
• This term "quadratically constrained optimization" unfortunately does not imply a specific type of optimization model. As far as I can see, the terminology is rather ambiguous in this domain. – user2512443 May 16 at 17:18
• Binary as in $\{0,1\}$? Or binary as in $\{\pm 1\}$? Are $x$ and $y$ real? – Rodrigo de Azevedo 2 days ago