On Second-Order Cone Functions

Shafiu Jibrin, James W. Swift

We consider the second-order cone function (SOCF) $f:{\mathbb{R}}^n\to \mathbb{R}$ defined by $f(x)=c^{T}x+d-\Vert Ax+b\Vert$. Every SOCF is concave. We give necessary and sufficie…