Kristian Bredies // Teaching
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Teaching

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:

  1. Convex Analysis
    • Convex functionals in Banach spaces
    • Direct method for convex optimization problems
    • Subdifferential Calculus
    • Conjugate functionals
    • Fenchel-Rockafellar duality
  2. 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.

2009-2016

Winter  2016/2017 MAT.500 Inverse Problems
MAT.501 Inverse Problems (Practical)
621.300 Numerical Mathematics for Teachers in Training
621.416 Mathematical Seminar for Teachers in Training
Summer  2016 MAT.255 Optimization 1
MAT.351 Seminar Applied Mathematics
MAT.381 Mathematical Image Analysis
Winter  2015/2016 MAT.311 Numerical Analysis 2
MAT.400 Advanced Analysis
621.235 Numerical Mathematics for Teachers in Training
621.416 Mathematical Seminar for Teachers in Training
Summer  2015 MAT.381 Mathematical Image Analysis
MAT.382 Mathematical Image Analysis (Practical)
MAT.351 Seminar on Applied Mathematics
Winter  2014/2015 621.303 Functional Analysis
621.412 Numerics for Partial Differential Equations
621.413 Numerics for Partial Differential Equations (Practical)
621.235 Numerical Mathematics for Teachers in Training
Summer  2014 MAT.255 Optimization 1
621.270 Seminar on Applied Mathematics
621.452 Mathematical Seminar for Teachers in Training
Winter  2013/2014 621.303 Functional Analysis
621.520 Mathematical Methods in Imaging
621.521 Mathematical Methods in Imaging (Practical)
Summer  2013 621.048 Basic Principles of Mathematics
621.152 Partial Differential Equations
Winter 2012/2013 621.006 Basic Principles of Mathematics
621.236 Numerical Mathematics for Teachers in Training (Practical)
621.301 Numerical Analysis II
621.302 Numerical Analysis II (Pratical)
Summer  2012 621.353 Partial Differential Equations
Winter 2011/2012    621.003 Advanced Mathematics I (Practical)
Summer  2011 621.353 Partial Differential Equations
Winter 2010/2011 621.301 Numerical Analysis II
621.302 Numerical Analysis II (Practical)
Summer 2010 621.352 Optimization II (Practical)
Winter 2009/2010 621.301 Numerical Analysis II
621.302 Numerical Analysis II (Practical)
Summer 2009 621.055 Linear Algebra II (Practical)
646.829 Applied Numerical Mathematics I (Practical)