Showing math.OCShow all
3 papers · 1 filter
math.OC2025
The charnes--cooper transformation and fractional programs with convex polynomials
Chengmiao Yang, Liguo Jiao, Jae Hyoung Lee
This paper proposes a scheme based on the Charnes--Cooper transformation for solving a class of fractional programs with convex polynomial data. We employ the high-degree perturbat…
math.OC2025
First-order SDSOS-convex semi-algebraic optimization and exact SOCP relaxations
Chengmiao Yang, Liguo Jiao, Jae Hyoung Lee
In this paper, we define a new type of nonsmooth convex function, called {\em first-order SDSOS-convex semi-algebraic function}, which is an extension of the previously proposed fi…
math.OC2024
A parameter-free approach for solving SOS-convex semi-algebraic fractional programs
Chengmiao Yang, Liguo Jiao, Jae Hyoung Lee
In this paper, we study a class of nonsmooth fractional programs {\rm (FP, for short)} with SOS-convex semi-algebraic functions. Under suitable assumptions, we derive a strong dual…