250108 VO Selected topics in analysis (2014W)

3.00 ECTS (2.00 SWS), SPL 25 - Mathematik

Details

Language: German

Examination dates

Thursday 30.04.2015

Lecturers

Radu Ioan Bot

Classes (iCal) - next class is marked with N

    
    Monday
    06.10.
    14:15 - 15:45
    Seminarraum 10  Oskar-Morgenstern-Platz 1  2.Stock
    
    Monday
    13.10.
    14:15 - 15:45
    Seminarraum 10  Oskar-Morgenstern-Platz 1  2.Stock
    
    Monday
    20.10.
    14:15 - 15:45
    Seminarraum 10  Oskar-Morgenstern-Platz 1  2.Stock
    
    Monday
    27.10.
    14:15 - 15:45
    Seminarraum 10  Oskar-Morgenstern-Platz 1  2.Stock
    
    Monday
    03.11.
    14:15 - 15:45
    Seminarraum 10  Oskar-Morgenstern-Platz 1  2.Stock
    
    Monday
    10.11.
    14:15 - 15:45
    Seminarraum 10  Oskar-Morgenstern-Platz 1  2.Stock
    
    Monday
    17.11.
    14:15 - 15:45
    Seminarraum 10  Oskar-Morgenstern-Platz 1  2.Stock
    
    Monday
    24.11.
    14:15 - 15:45
    Seminarraum 10  Oskar-Morgenstern-Platz 1  2.Stock
    
    Monday
    01.12.
    14:15 - 15:45
    Seminarraum 10  Oskar-Morgenstern-Platz 1  2.Stock
    
    Monday
    15.12.
    14:15 - 15:45
    Seminarraum 10  Oskar-Morgenstern-Platz 1  2.Stock
    
    Monday
    12.01.
    14:15 - 15:45
    Seminarraum 10  Oskar-Morgenstern-Platz 1  2.Stock
    
    Monday
    19.01.
    14:15 - 15:45
    Seminarraum 10  Oskar-Morgenstern-Platz 1  2.Stock
    
    Monday
    26.01.
    14:15 - 15:45
    Seminarraum 10  Oskar-Morgenstern-Platz 1  2.Stock

Information

Aims, contents and method of the course

In this lecture we are concerned with the study of generalized differentiability notions for nonsmooth functions and of their connections with nonsmooth geometry and nonsmooth optimization theory.
Keywords: generalization of derivative, subdifferential calculus, generalized Jacobians, generalization of tangent and normal cones, the generalized Lagrange multiplier rule

Assessment and permitted materials

Oral exam.

Minimum requirements and assessment criteria

Examination topics

Reading list

J.M. Borwein, Q.J. Zhu (2005) - Techniques of Variational Analysis, CMS Books in Mathematics, Springer-Verlag New York

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

F.H. Clarke (1983) - Optimization and Nonsmooth Analysis, Canadian Mathematical Society Series of Monographs and Advanced Texts, New York

B.S. Mordukhovich (2006) - Variational Analysis and Generalized Differentiation, I. . Basic Theory, II. Applications, Series of Comprehensive Studies in Mathematics, Vol. 330, Springer-Verlag Berlin Heidelberg

Association in the course directory

MANV

Advanced courses, specialization "Analysis"

25.3. Master Programme ➡ 4.2. Specialization "Analysis"

Last modified: Mo 07.09.2020 15:40