250039 VO Convex Analysis (2021S)

6.00 ECTS (4.00 SWS), SPL 25 - Mathematik

Moodle

Registration/Deregistration

Note: The time of your registration within the registration period has no effect on the allocation of places (no first come, first served).

Details

Language: English

Examination dates

Friday 16.07.2021 Monday 26.07.2021 Monday 06.09.2021 Thursday 04.11.2021 Thursday 03.03.2022 Thursday 10.03.2022 Friday 03.02.2023

Lecturers

Radu Ioan Bot

Classes (iCal) - next class is marked with N

    
    Monday
    01.03.
    09:45 - 11:15
    Digital
Seminarraum 8  Oskar-Morgenstern-Platz 1  2.Stock
    
    Tuesday
    02.03.
    09:45 - 11:15
    Digital
Seminarraum 8  Oskar-Morgenstern-Platz 1  2.Stock
    
    Monday
    08.03.
    09:45 - 11:15
    Digital
Seminarraum 8  Oskar-Morgenstern-Platz 1  2.Stock
    
    Tuesday
    09.03.
    09:45 - 11:15
    Digital
Seminarraum 8  Oskar-Morgenstern-Platz 1  2.Stock
    
    Monday
    15.03.
    09:45 - 11:15
    Digital
Seminarraum 8  Oskar-Morgenstern-Platz 1  2.Stock
    
    Tuesday
    16.03.
    09:45 - 11:15
    Digital
Seminarraum 8  Oskar-Morgenstern-Platz 1  2.Stock
    
    Monday
    22.03.
    09:45 - 11:15
    Digital
Seminarraum 8  Oskar-Morgenstern-Platz 1  2.Stock
    
    Tuesday
    23.03.
    09:45 - 11:15
    Digital
Seminarraum 8  Oskar-Morgenstern-Platz 1  2.Stock
    
    Monday
    12.04.
    09:45 - 11:15
    Digital
Seminarraum 8  Oskar-Morgenstern-Platz 1  2.Stock
    
    Tuesday
    13.04.
    09:45 - 11:15
    Digital
Seminarraum 8  Oskar-Morgenstern-Platz 1  2.Stock
    
    Monday
    19.04.
    09:45 - 11:15
    Digital
Seminarraum 8  Oskar-Morgenstern-Platz 1  2.Stock
    
    Tuesday
    20.04.
    09:45 - 11:15
    Digital
Seminarraum 8  Oskar-Morgenstern-Platz 1  2.Stock
    
    Monday
    26.04.
    09:45 - 11:15
    Digital
Seminarraum 8  Oskar-Morgenstern-Platz 1  2.Stock
    
    Tuesday
    27.04.
    09:45 - 11:15
    Digital
Seminarraum 8  Oskar-Morgenstern-Platz 1  2.Stock
    
    Monday
    03.05.
    09:45 - 11:15
    Digital
Seminarraum 8  Oskar-Morgenstern-Platz 1  2.Stock
    
    Tuesday
    04.05.
    09:45 - 11:15
    Digital
Seminarraum 8  Oskar-Morgenstern-Platz 1  2.Stock
    
    Monday
    10.05.
    09:45 - 11:15
    Digital
Seminarraum 8  Oskar-Morgenstern-Platz 1  2.Stock
    
    Tuesday
    11.05.
    09:45 - 11:15
    Digital
Seminarraum 8  Oskar-Morgenstern-Platz 1  2.Stock
    
    Monday
    17.05.
    09:45 - 11:15
    Digital
Seminarraum 8  Oskar-Morgenstern-Platz 1  2.Stock
    
    Tuesday
    18.05.
    09:45 - 11:15
    Digital
Seminarraum 8  Oskar-Morgenstern-Platz 1  2.Stock
    
    Monday
    31.05.
    09:45 - 11:15
    Digital
Seminarraum 8  Oskar-Morgenstern-Platz 1  2.Stock
    
    Tuesday
    01.06.
    09:45 - 11:15
    Digital
Seminarraum 8  Oskar-Morgenstern-Platz 1  2.Stock
    
    Monday
    07.06.
    09:45 - 11:15
    Digital
Seminarraum 8  Oskar-Morgenstern-Platz 1  2.Stock
    
    Tuesday
    08.06.
    09:45 - 11:15
    Digital
Seminarraum 8  Oskar-Morgenstern-Platz 1  2.Stock
    
    Monday
    14.06.
    09:45 - 11:15
    Digital
Seminarraum 8  Oskar-Morgenstern-Platz 1  2.Stock
    
    Tuesday
    15.06.
    09:45 - 11:15
    Digital
Seminarraum 8  Oskar-Morgenstern-Platz 1  2.Stock
    
    Monday
    21.06.
    09:45 - 11:15
    Digital
Seminarraum 8  Oskar-Morgenstern-Platz 1  2.Stock
    
    Tuesday
    22.06.
    09:45 - 11:15
    Digital
Seminarraum 8  Oskar-Morgenstern-Platz 1  2.Stock
    
    Monday
    28.06.
    09:45 - 11:15
    Digital
Seminarraum 8  Oskar-Morgenstern-Platz 1  2.Stock
    
    Tuesday
    29.06.
    09:45 - 11:15
    Digital
Seminarraum 8  Oskar-Morgenstern-Platz 1  2.Stock

Information

Aims, contents and method of the course

The main goal of this lecture is to give an easy access to the most fundamental parts of convex analysis and monotone operator theory.
Contents:
- convex sets and convex functions
- topological properties of convex functions
- conjugate functions and convex subdifferential
- conjugate duality theory
- maximally monotone operators

Assessment and permitted materials

Oral exam.

Minimum requirements and assessment criteria

Examination topics

Reading list

H.H. Bauschke, P.L. Combettes - Convex Analysis and Monotone Operator Theory in Hilbert Spaces, Springer-Verlag New York Dordrecht Heidelberg London, 2011

J.M. Borwein, J.D. Vanderweff - Convex Functions, Cambridge University Press, 2010

R.I. Boţ - Conjugate Duality in Convex Optimization, Lecture Notes in Economics and Mathematical Systems, Vol. 637, Springer-Verlag Berlin Heidelberg, 2010

W. Rudin - Functional Analysis, McGraw-Hill, 1973

S. Simons - From Hahn-Banach to Monotonicity, Lecture Notes in Mathematics, Vol. 1693, Springer-Verlag New York, 2008

C. Zãlinescu - Convex Analysis in General Vector Spaces, World Scientific, River Side, 2002

Association in the course directory

MAMV; MANV;

Last modified: Fr 12.05.2023 00:21