Kristian Bredies // Teaching
HomePublicationsTeachingSummer 2017: Mathematical Image
Analysis Summer 2017: Seminar Applied
Mathematics Summer 2017: Convex Analysis and Convex
Optimization 2009-2016 Jobs
Teaching
For information on the courses offered as of winter semester 2017/2018, please confer Uni Graz Online.Summer 2017: Mathematical Image Analysis
Please confer the German page for
details.
Summer 2017: Seminar Applied Mathematics
Please confer the German page for
details.
Summer 2017: Convex Analysis and Convex Optimization
Course dates
| Lecture: | Tu | 13:15-14:45 | SR 11.33 |
Contents
Topics:
- Convex Analysis
- Convex functionals in Banach spaces
- Direct method for convex optimization problems
- Subdifferential Calculus
- Conjugate functionals
- Fenchel-Rockafellar duality
- Convex Optimization
- Subgradient methods
- Proximal mappings
- Monotone operators
- Splitting algorithms
- Acceleration strategies
- Primal-dual methods
- Applications
Literature
| H. H. Bauschke and P. L. Combettes: | Convex analysis and monotone operator theory in Hilbert spaces, Springer, New York, 2011. |
| I. Ekeland and R. Témam: | Convex analysis and variational problems, SIAM, Philadelphia, 1999. |
