On Second-Order Cone Functions

Figure 5

Contour plots of six different second-order cone functions defined in Example 5. All functions have the same positive definite matrix . The parameters and are chosen to illustrate Theorem 10, which says that is bounded above if and only if . The six parts of Theorem 10 correspond to the six contour plots. The contour with is a thick red curve, and the spacing between contours is .