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--- title: "More Convex Problems" source: https://www.jemoka.com/posts/kbhsecond_order_cone_programming/ --- 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.