4 papers · 1 filter
SPLD polynomial optimization and bounded degree SOS hierarchies
Liguo Jiao, Jae Hyoung Lee, Nguyen Bui Nguyen Thao
In this paper, we introduce a new class of structured polynomials, called separable plus lower degree (SPLD) polynomials. The formal definition of an SPLD polynomial, which extends…
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…
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…
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…