{"ID":2889553,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2507.20652","arxiv_id":"2507.20652","title":"A fixed-time stable dynamical model for solving EVLCPs","abstract":"A fixed-time stable dynamical system for solving the extended vertical linear complementarity problem (EVLCP) is developed. The system is based on the reformulation of EVLCP as a special case of a new kind of generalized absolute value equations. Some properties of the new kind of generalized absolute value equations are explored which are useful for developing a fixed-time stable dynamical system for solving it. Without using any smoothing technique, we develop a dynamical system for solving the new kind of generalized absolute value equations and prove its fixed-time stability. The model is applicable for solving EVLCP. As two by-products, a new condition which guarantees the unique solvability of EVLCP and a new error bound of EVLCP are given. Numerical results are given to demonstrate our claims.","short_abstract":"A fixed-time stable dynamical system for solving the extended vertical linear complementarity problem (EVLCP) is developed. The system is based on the reformulation of EVLCP as a special case of a new kind of generalized absolute value equations. Some properties of the new kind of generalized absolute value equations a...","url_abs":"https://arxiv.org/abs/2507.20652","url_pdf":"https://arxiv.org/pdf/2507.20652v1","authors":"[\"Yufei Wei\",\"Shiping Lin\",\"Cairong Chen\",\"Dongmei Yu\",\"Deren Han\"]","published":"2025-07-28T09:20:34Z","proceeding":"math.NA","tasks":"[\"math.NA\",\"math.OC\"]","methods":"[]","has_code":false}