BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Jiří Outrata (Czech Academy of Sciences\, Institute of Informati on Theory and Automation) DTSTART:20230102T144000Z DTEND:20230102T161000Z DTSTAMP:20260405T174415Z UID:NSCM/97 DESCRIPTION:Title: On the application of the SCD semismooth* Newton method to variational inequ alities of the second kind\nby Jiří Outrata (Czech Academy of Scienc es\, Institute of Information Theory and Automation) as part of Nečas Sem inar on Continuum Mechanics\n\nLecture held in Room K3\, Faculty of Mathe matics and Physics\, Charles University\, Sokolovská 83 Prague 8..\n\nAb stract\nThe first part of the lecture deals with a description of the SCD (subspace containing\nderivative) mappings and the SCD semismooth* Newton method for the solution of general\ninclusions. This method is then applie d to a class of variational inequalities of the second\nkind. As a result\ , one obtains an implementable algorithm exhibiting a locally superlinear\ nconvergence. Finally\, we demonstrate the efficiency of a globalized vers ion of this method\nvia a Cournot-Nash equilibrium in which the objectives of the players (firms) are nonsmooth\ndue to the presence of the so-calle d cost of change. The problem is modeled as a variational\ninequality of t he second kind and\, to test the performance of the applied method\, one a dmits\nreally large numbers of players and produced commodities.\nJoint wo rk with: Helmut Gfrerer and Jan Valdman.\n LOCATION:https://researchseminars.org/talk/NSCM/97/ END:VEVENT END:VCALENDAR