{"ID":2853369,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2510.16400","arxiv_id":"2510.16400","title":"Charnes--Cooper transformation and fractional optimization with SOS-convex polynomials","abstract":"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.","short_abstract":"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 sho...","url_abs":"https://arxiv.org/abs/2510.16400","url_pdf":"https://arxiv.org/pdf/2510.16400v1","authors":"[\"Chengmiao Yang\",\"Liguo Jiao\",\"Jae Hyoung Lee\"]","published":"2025-10-18T08:24:00Z","proceeding":"math.OC","tasks":"[\"math.OC\"]","methods":"[]","has_code":false}