Seminar aus der Numerik: Methodenseminar | letzte Änderung: 2021-10-03 |
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Seminar aus der Numerik:
Infinite Dimensional Optimization
(LVA Nr. 327.050, 2 Wochenstunden, ab Semester 5)Seminarleiter: A.Univ.-Prof. Dr. Helmut Gfrerer
O.Univ.-Prof. Dr. Ulrich Langer
A.Univ.-Prof. Dr. Walter Zulehner
Beginn der Lehrveranstaltung: Di, 2009-10-13, 13:45 - 15:15 Uhr, Raum: T 112
Zeit, Raum, Seminar, StudentIn, Leiter:
| Di, 2009-10-13 | 13:45 - 15:15 Raum: T 112 | Einführung | Gfrerer | |
| Di, 2009-10-20 | 13:45 - 15:15 Raum: T 112 | Konsultation | ||
| Di, 2009-10-27 | 13:45 - 15:15 Raum: T 112 | Konsultation | ||
| Di, 2009-11-03 | 13:45 - 15:15 Raum: T 112 | 2. Seminar | Yedeg | Gfrerer |
| Di, 2009-11-10 | 13:45 - 15:15 Raum: T 112 | 3. Seminar | Uzor | Zulehner |
| Di, 2009-11-17 | 13:45 - 15:15 Raum: T 112 | 4. Seminar | Zhudro | Zulehner |
| Di, 2009-11-24 | 13:45 - 15:15 Raum: T 112 | 5. Seminar | Ghosh | Gfrerer |
| Di, 2009-12-01 | 13:45 - 15:15 Raum: T 112 | 6. Seminar | Gfrerer | |
| Di, 2009-12-08 | Feiertag | |||
| Di, 2009-12-15 | 13:45 - 15:15 Raum: T 112 | 7. Seminar | Buchasia | Langer |
| Di, 2010-01-12 | 13:45 - 15:15 Raum: T 112 | 8. Seminar | Gangl | Langer |
| Di, 2010-01-19 | 13:45 - 15:15 Raum: T 112 | 9. Seminar | Takacs | Gfrerer |
| Di, 2010-01-26 | 13:45 - 15:15 Raum: T 112 | 10. Seminar | Takacs | Gfrerer |
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Seminaraufgaben | up |
| Seminar 01: | 13.10.2009 Introduction by Helmut Gfrerer |
| Seminar 02: | 03.11.2009 Regularity of convex multifunctions Literature: [7] Supervisor: Helmut Gfrerer Student: Yedeg Esubalewe Lakie |
| Seminar 03: | 10.11.2009 Regularity, openess and Aubin property Literature: [1], pp. 57 - 60 Supervisor: Walter Zulehner Student: Uzor Blessing Obianuju |
| Seminar 04: | 17.11.2009 Robinson's CQ Literature: [2] Supervisor: Walter Zulehner Student: Zhudro Mikalai |
| Seminar 05: | 24.11.2009 SupInf condition, 1st order optimality conditions Literature: [3] Supervisor: Helmut Gfrerer Student: Ghosh Arpan |
| Seminar 06: | 01.12.2009 Examples presented by Helmut Gfrerer |
| Seminar 07: | 15.12.2009 Semismooth Newton methods I Literature: [5], Chapter 2, pp. 97 - 140 Supervisor: Ulrich Langer Student: Buchasia Chhitiz |
| Seminar 08: | 12.01.2010 Semismooth Newton methods II Literature: [5], Chapter 2, pp. 97 - 140 Supervisor: Ulrich Langer Student: Gangl Peter |
| Seminar 09: | 19.01.2010 Generalized Penalty methods Literature: [4] Supervisor: Helmut Gfrerer Student: Takacs Stefan |
| Seminar 10: | 26.01.2010 Solving subproblems of penalty methods Literature: [4] Supervisor: Helmut Gfrerer Student: Takacs Stefan |
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Literatur | up |
[1] F.Bonnans, A.Shapiro. Perturbation analysis of optimization problems, Springer, New York (2000)
[2] R.Cominetti. Metric regularity, tangent sets, and second-order optimality conditions, Appl.Math.Optim.21 (1990), 265-287
[3] H.Gfrerer. Second-order optimality conditions for scalar and vector optimization problems in Banach spaces, SIAM J.Control Optim.45 (2006), 972-997
[4] H.Gfrerer. Generalized penalty methods for a class of convex optimization problems with pointwise inequality constraints, NuMa Report 2009-06 (2009)
[5] M.Hinze, R.Pinnau, M.Ulbrich, S.Ulbrich. Optimization with PDE Constraints, Springer, New York (2009)
[6] L.A.Ljusternik, W.I.Sobolev. Elemente der Funktionalanalysis, Harri Deutsch, Zürich (1965)
[7] S.M.Robinson. Regularity and stability for convex multivalued functions, Math.Oper.Res.1 (1976), 130-143
[8] S.M.Robinson. Stability theorems for systems of inequalities, Part II: differntiable nonlinear systems, SIAM J.Numer.Anal. 13 (1976), 497-513.
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Teilnehmer | up |
Buchasia Chhitiz
Gangl Peter
Ghosh Arpan
Takacs Stefan
Uzor Blessing Obianuju
Wang Xijian
Yedeg Esubalewe Lakie
Zhudro Mikalai
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Allgemeines | up |
