【学习笔记】数学规划

听不懂 /cy

Lecture 3

nn dim 非负锥:R+n={xRn:x0}\mathbb{R}_+^n=\{ \mathbb{x} \in \mathbb{R}^n : \mathbb{x} \ge \mathbb{0} \}

Second-Order Cone (SOC, 二阶锥):R+n+1={(t,x)Rn+1:tx2}\mathbb{R}^{n+1}_+ = \{ (t, \mathbb{x}) \in \mathbb{R}^{n+1} : t \ge \|\mathbb{x}\|_2 \}

二阶锥是 Self-Dual Cone