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A new relaxation scheme for mathematical programs with equilibrium constraints [Elektronische Ressource] : theory and numerical experience / Sonja Veelken

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Technische Universita¨t Mu¨nchenZentrum MathematikA New Relaxation Scheme for MathematicalPrograms with Equilibrium Constraints:Theory and Numerical ExperienceSonja VeelkenVollsta¨ndiger Abdruck der von der Fakult¨at fu¨r Mathematik der Technischen Universita¨tMu¨nchen zur Erlangung des akademischen Grades einesDoktors der Naturwissenschaften (Dr.rer.nat.)genehmigten Dissertation.Vorsitzender: Univ.-Prof. Dr. Peter RentropPru¨fer der Dissertation: 1. Univ.-Prof. Dr. Michael Ulbrich2. Univ.-Prof. Dr. Christian KanzowJulius-Maximilians-Universita¨t Wu¨rzburgDie Dissertation wurde am 27.11.2008 bei der Technischen Universita¨t eingereicht unddurch die Fakult¨at fu¨r Mathematik am 20.04.2009 angenommen.For since the fabric of the universe is most perfectand the work of a most wise creator, nothing at alltakes place in the universe in which some rule ofmaximum or minimum does not appear.(Leonhard Euler)If you would be a real seeker after truth,it is necessary that at least once in yourlife you doubt, as far as possible, all things.(Ren´e Descartes)AcknowledgementsThecompletion ofthisthesiswasnotalways aneasytaskandIamgratefultomanypeoplethat have helped me along the way.A special thanks goes to my supervisor Prof. Dr. Michael Ulbrich for the interestingsubject of this doctoral thesis and for his continuous support during the past years. Ibenefitted from his valuable advice and many helpful discussions on various aspects of thiswork.

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Published 01 January 2009
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