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.