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Technische Universität München, Zentrum Mathematik

Graduate Course

Modern Methods in Nonlinear Optimization

(Optimization in Banach Spaces)

Prof. Dr. Michael Ulbrich

Summer Term 2019

Topics - News - Dates - Tutorials - Material - Exam - Literature


This course develops optimization theory and methods in the framework of Banach spaces. This provides an important foundation for many optimization problems of practical interest. Important classes of problems that naturally live in infinite-dimensional Banach spaces include optimal control with ordinary or partial differential equations, inverse problems, and also problems in mathematical imaging. Studying optimization in an infinite-dimensional setting also provides much finer information about the correct choice of norms than this is apparent in finite dimensions. In particular, these insights are crucial for achieving mesh-independent (i.e., dimension-independent) performance of optimization methods.

Module number: MA4503. The description of the module can be found here.

Prerequisites: MA2503 (Nichtlineare Optimierung: Grundlagen), MA3503 (Nonlinear Optimization: Advanced), recommended: MA3001 (Functional Analysis)


April 2, 2019 The first class is held on April 29, 2019. The tutorials start in the second week of the semester as well.


  Monday, 12:15 - 13:45 MI HS 2 Prof. Dr. Michael Ulbrich  

Tutorials (biweekly)
Group 1 Monday, 14:15 - 15:45 02.08.020 Johannes Haubner    
Group 2 Tuesday, 10:15 - 11:45 02.08.011 Johannes Haubner    




Main exam Wednesday, July 31st, 2019 08:30 - 09:30 Interims HS 2
Resit exam Wednesday, October 2nd, 2019 10:30 - 11:30 MI HS 3

The exam dates, times and places posted above are preliminary. Please consult TUMonline for the official dates.

Important information (about the main exam):

Inspection (Klausureinsicht):