Some characterizations for SOC-monotone and SOC-convex functions

Abstract

We provide some characterizations for SOC-monotone and SOC-convex functions by using differential analysis. From these characterizations, we particularly obtain that a continuously differentiable function defined in an open interval is SOC-monotone (SOC-convex) of order n ≥ 3 if and only if it is 2-matrix monotone (matrix convex), and furthermore, such a… (More)
DOI: 10.1007/s10898-008-9373-z

Topics

  • Presentations referencing similar topics