---
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} &amp;\min f^{T} x \\ &amp;s.t\ \norm{A_{i} x + b_{i}}_{2} \leq c_{i}^{T} x + d_{i}, i = 1 \dots m\\ &amp; Fx = g \end{align}
Most things reduce down to a SOCP.
