{"ID":2875542,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2509.02497","arxiv_id":"2509.02497","title":"Characterizations of Pseudolinear and Semi-strictly Quasilinear Functions","abstract":"In this paper we obtain several new complete characterizations of pseudolinear functions. Two of the results are of first-order and one is derivative free. All results are derived in terms of the Clarke-Rockafellar subdifferential. Additionally, we prove a characterization of the semi-strictly quasilinear functions. It is similar to the derivative free characterization of the pseudolinear functions. We also find the conditions such that a semi-strictly quasilinear function become pseudolinear.","short_abstract":"In this paper we obtain several new complete characterizations of pseudolinear functions. Two of the results are of first-order and one is derivative free. All results are derived in terms of the Clarke-Rockafellar subdifferential. Additionally, we prove a characterization of the semi-strictly quasilinear functions. It...","url_abs":"https://arxiv.org/abs/2509.02497","url_pdf":"https://arxiv.org/pdf/2509.02497v2","authors":"[\"Vsevolod I. Ivanov\"]","published":"2025-09-02T16:46:58Z","proceeding":"math.OC","tasks":"[\"math.OC\"]","methods":"[]","has_code":false}