This paper proposes a parameter-free scheme that is based on the Charnes--Cooper transformation for solving a class of fractional programs with SOS-convex polynomials. Under certain conditions, we establish theorems of solution existence,strong duality and solution extraction. An illustrative example is designed to show the obtained results.
@article{arxiv.2510.16400,
title = {Charnes--Cooper transformation and fractional optimization with SOS-convex polynomials},
author = {Chengmiao Yang and Liguo Jiao and Jae Hyoung Lee},
journal= {arXiv preprint arXiv:2510.16400},
year = {2025}
}