Superlinear convergence of the control reduced interior point method for PDE constrained optimization:
Abstract: "A thorough convergence analysis of the Control Reduced Interior Point Method in function space is performed. This recently proposed method is a primal interior point pathfollowing scheme with the special feature, that the control variable is eliminated from the optimality system. Apa...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin
Konrad Zuse Zentrum für Informationstechnik
2005
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| Schriftenreihe: | ZIB-Report / Konrad-Zuse-Zentrum für Informationstechnik Berlin
2005,15 |
| Schlagworte: | |
| Zusammenfassung: | Abstract: "A thorough convergence analysis of the Control Reduced Interior Point Method in function space is performed. This recently proposed method is a primal interior point pathfollowing scheme with the special feature, that the control variable is eliminated from the optimality system. Apart from global linear convergence we show, that this method converges locally almost quadratically, if the optimal solution satisfies a certain non-degeneracy condition. In numerical experiments we observe, that a prototype implementation of our method behaves as predicted by our theoretical results." |
| Beschreibung: | 23 S. graph. Darst. |
Internformat
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| 100 | 1 | |a Schiela, Anton |d 1975- |e Verfasser |0 (DE-588)124835198 |4 aut | |
| 245 | 1 | 0 | |a Superlinear convergence of the control reduced interior point method for PDE constrained optimization |c Anton Schiela ; Martin Weiser |
| 264 | 1 | |a Berlin |b Konrad Zuse Zentrum für Informationstechnik |c 2005 | |
| 300 | |a 23 S. |b graph. Darst. | ||
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| 490 | 1 | |a ZIB-Report / Konrad-Zuse-Zentrum für Informationstechnik Berlin |v 2005,15 | |
| 520 | 3 | |a Abstract: "A thorough convergence analysis of the Control Reduced Interior Point Method in function space is performed. This recently proposed method is a primal interior point pathfollowing scheme with the special feature, that the control variable is eliminated from the optimality system. Apart from global linear convergence we show, that this method converges locally almost quadratically, if the optimal solution satisfies a certain non-degeneracy condition. In numerical experiments we observe, that a prototype implementation of our method behaves as predicted by our theoretical results." | |
| 650 | 4 | |a Function spaces | |
| 650 | 4 | |a Interior-point methods | |
| 700 | 1 | |a Weiser, Martin |d 1970- |e Verfasser |0 (DE-588)123252040 |4 aut | |
| 810 | 2 | |a Konrad-Zuse-Zentrum für Informationstechnik Berlin |t ZIB-Report |v 2005,15 |w (DE-604)BV013191727 |9 2005,15 | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-013093965 | |
Datensatz im Suchindex
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| author | Schiela, Anton 1975- Weiser, Martin 1970- |
| author_GND | (DE-588)124835198 (DE-588)123252040 |
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| author_role | aut aut |
| author_sort | Schiela, Anton 1975- |
| author_variant | a s as m w mw |
| building | Verbundindex |
| bvnumber | BV019767756 |
| classification_rvk | SS 4779 |
| ctrlnum | (OCoLC)62270183 (DE-599)BVBBV019767756 |
| discipline | Informatik |
| format | Book |
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| id | DE-604.BV019767756 |
| illustrated | Illustrated |
| indexdate | 2025-01-10T17:06:53Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-013093965 |
| oclc_num | 62270183 |
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| owner | DE-703 DE-188 |
| owner_facet | DE-703 DE-188 |
| physical | 23 S. graph. Darst. |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | Konrad Zuse Zentrum für Informationstechnik |
| record_format | marc |
| series2 | ZIB-Report / Konrad-Zuse-Zentrum für Informationstechnik Berlin |
| spelling | Schiela, Anton 1975- Verfasser (DE-588)124835198 aut Superlinear convergence of the control reduced interior point method for PDE constrained optimization Anton Schiela ; Martin Weiser Berlin Konrad Zuse Zentrum für Informationstechnik 2005 23 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier ZIB-Report / Konrad-Zuse-Zentrum für Informationstechnik Berlin 2005,15 Abstract: "A thorough convergence analysis of the Control Reduced Interior Point Method in function space is performed. This recently proposed method is a primal interior point pathfollowing scheme with the special feature, that the control variable is eliminated from the optimality system. Apart from global linear convergence we show, that this method converges locally almost quadratically, if the optimal solution satisfies a certain non-degeneracy condition. In numerical experiments we observe, that a prototype implementation of our method behaves as predicted by our theoretical results." Function spaces Interior-point methods Weiser, Martin 1970- Verfasser (DE-588)123252040 aut Konrad-Zuse-Zentrum für Informationstechnik Berlin ZIB-Report 2005,15 (DE-604)BV013191727 2005,15 |
| spellingShingle | Schiela, Anton 1975- Weiser, Martin 1970- Superlinear convergence of the control reduced interior point method for PDE constrained optimization Function spaces Interior-point methods |
| title | Superlinear convergence of the control reduced interior point method for PDE constrained optimization |
| title_auth | Superlinear convergence of the control reduced interior point method for PDE constrained optimization |
| title_exact_search | Superlinear convergence of the control reduced interior point method for PDE constrained optimization |
| title_full | Superlinear convergence of the control reduced interior point method for PDE constrained optimization Anton Schiela ; Martin Weiser |
| title_fullStr | Superlinear convergence of the control reduced interior point method for PDE constrained optimization Anton Schiela ; Martin Weiser |
| title_full_unstemmed | Superlinear convergence of the control reduced interior point method for PDE constrained optimization Anton Schiela ; Martin Weiser |
| title_short | Superlinear convergence of the control reduced interior point method for PDE constrained optimization |
| title_sort | superlinear convergence of the control reduced interior point method for pde constrained optimization |
| topic | Function spaces Interior-point methods |
| topic_facet | Function spaces Interior-point methods |
| volume_link | (DE-604)BV013191727 |
| work_keys_str_mv | AT schielaanton superlinearconvergenceofthecontrolreducedinteriorpointmethodforpdeconstrainedoptimization AT weisermartin superlinearconvergenceofthecontrolreducedinteriorpointmethodforpdeconstrainedoptimization |