Algorithmic Applications

Abstract

In this chapter, we will see details about how the characterizations established in Chap.  2 be applied in real algorithms. In particular, the SOC-convexity are often involved in the solution methods of convex SOCPs; for example, the proximal-like methods. We present three types of proximal-like algorithms, and refer the readers to [115, 116, 118] for their numerical performance.