[Vortraege] Nachtrag und Ergänzungen Vortragsankündigungen KW 50

[Martina Fellner]

Sehr geehrte Fakultätsmitglieder,

anbei ein Nachtrag und einige Ergänzungen zu den Vortragsankündigungen 
der KW 50.

*Donnerstag, 15. Dezember 2016, von 15:15 Uhr bis 16:00 Uhr, *SR 7, 2. 
OG., OMP 1

*SE Optimization**: Walaa Moursi (Univ. of British Columbia):”The 
Douglas-Rachford method for solving possibly onconsistent sum problems ”*

org. by R.I. Bot, A. Neumaier, H. Schichl

Abstract: The Douglas–Rachford algorithm is a very popular splitting 
technique for finding a zero of the sum of two maximally monotone 
operators. The behaviour of the algorithm remains mysterious in the 
general inconsis-tent case, i.e., when the sum problem has no zeros. 
However, more than a decade ago, it was shown that in the (possibly 
inconsistent) convex feasibility setting, the shadow sequence remains 
bounded and its weak cluster points solve a best approximation problem. 
In this talk, we advance the understanding of the inconsistent case 
significantly by presenting a complete proof of the full weak 
convergence in the convex feasibility setting. We also provide linear 
rate of convergence and strong convergence in special cases.

**

mit freundlichen Grüßen

Martina Fellner


-- 
Martina Fellner
Sekretariat Fakultät für Mathematik
10. Stock, Zimmer 10.140
Oskar-Morgenstern-Platz 1
1090 Wien
Tel.: 43 (1) 427750602
Sicherheitsvertrauensperson
https://mathematik.univie.ac.at/svp/

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