Quadratically constrained quadratic program Quadratic Program with quadratic constraints Second-order cone programming \begin{align} &\min f^{T} x \ &s.t\ \norm{A_{i} x + b_{i}}{2} \leq c{i}^{T} x + d_{i}, i = 1 \dots m\ & Fx = g \end{align} Most things reduce down to a SOCP.