{"ID":2832261,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2512.06437","arxiv_id":"2512.06437","title":"The Joint Range of Quadratic Mapping on Hilbert Space","abstract":"We present a novel technical method for analyzing the hidden convex structure embedded in the joint range of a quadratic mapping defined on a Hilbert space. Our approach stands out by relying exclusively on elementary mathematical principles.","short_abstract":"We present a novel technical method for analyzing the hidden convex structure embedded in the joint range of a quadratic mapping defined on a Hilbert space. Our approach stands out by relying exclusively on elementary mathematical principles.","url_abs":"https://arxiv.org/abs/2512.06437","url_pdf":"https://arxiv.org/pdf/2512.06437v1","authors":"[\"Huu-Quang Nguyen\"]","published":"2025-12-06T13:56:49Z","proceeding":"math.OC","tasks":"[\"math.OC\",\"math.FA\"]","methods":"[]","has_code":false}