[:es]Speaker: Jan J. Rückmann
Title: “Mathematical Programs with Complementarity constraints: Critical Point Theory”
Coauthors: Hubertus Th. Jongen and Vladimir Shikhman.
Date: 23 May. 12:30 h.
Localication: Sala de Seminarios (Edificio Torretamarit)
Abstract. We study mathematical programs with complementarity constraints from a topological point of view. We derive a Morse Lemma at nondegenerate C- stationary points and present two basic theorems from Morse theory (deformation theorem and cell-attachment theorem). Outside the C-stationary point set, continuous deformation of lower level sets can be performed and, as a consequence, the topological data (such as the number of connected components) remain invariant. However, when passing a level containing a C-stationary point, the topology of the lower level set changes via the attachment of a q-dimensional cell where its dimension equals the stationary C-index of the corresponding C- stationary point. The stationary C-index depends on both the restricted Hessian of the Lagrangian and the Lagrange multipliers related to bi-active complementarity constraints. Finally, some relations with other stationarity concepts are discussed.
The lecture is based on a joint paper with Hubertus Th. Jongen and Vladimir Shikhman.[:]
Novedades
Seminario CIO: Enduring Inequalities: Analyzing Energy Poverty Inertia Across K-Means Clusters
Título: Enduring Inequalities: Analyzing Energy Poverty Inertia Across K-Means Clusters Ponentes: Santiago Budría (U. Antonio de Nebrija and IZA) y Leslie Bravo Chew (U. Antonio de Nebrija) Fecha y hora: 23/06/2025, 13:00 Inscripción online (cierre 30 minutos antes del inicio): https://forms.gle/GksdCpfye26yArVW8 Lugar: Sala de Seminarios del Edificio Torretamarit (CIO) y online Organizador: Carlos Gutiérrez Hita Abstract: Evidence on how energy poverty [...]
0 Comments