Karl–FranzensUniversit¨atGraz TechnischeUniversit¨atGraz Medizinische Universit¨at Graz SpezialForschungsBereich F32 Novel Concepts for Nonsmooth Optimization and their Impact on Science and Technology K. Ito K. Kunisch SFB-Report No. 2010–020 April 2010 A–8010 GRAZ, HEINRICHSTRASSE 36, AUSTRIA Supported by the Austrian Science Fund (FWF)