Tröltzsch, Anke (2013) A new algorithm for equality- and bound-constrained optimization without derivatives. In: 4th International conference on continuous optimization. ICCOPT 2013, 2013-07-27 - 2013-08-01, Lissabon, Portugal.
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Kurzfassung
We want to present a new interpolation-based trust-region algorithm which can handle nonlinear and nonconvex optimization problems involving equality constraints and simple bounds on the variables. The equality constraints are handled by a trust-region SQP approach, where each SQP step is decomposed into a normal and a tangential step to account for feasibility as well as for optimality. Special care must be taken in case an iterate is infeasible with respect to the models of the derivative-free constraints. Globalization is handled by using an Augmented Lagrangian penalty function as the merit function. Furthermore, our new algorithm uses features of the algorithm BCDFO, proposed by Gratton et. al. (2011), which handles bound constraints by an active-set method and has shown to be very competitive for bound-constrained problems. It relies also on the technique of self-correcting geometry, proposed by Scheinberg and Toint (2010), to maintain poisedness of the interpolation set. The objective and constraint functions are approximated by polynomials of varying degree (linear or quadratic). We present numerical results on a test set of equality-constrained problems from the CUTEr problem collection.
elib-URL des Eintrags: | https://elib.dlr.de/88405/ | ||||||||
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Dokumentart: | Konferenzbeitrag (Vortrag) | ||||||||
Titel: | A new algorithm for equality- and bound-constrained optimization without derivatives | ||||||||
Autoren: |
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Datum: | 2013 | ||||||||
Erschienen in: | 4th International conference on continuous optimization | ||||||||
Referierte Publikation: | Ja | ||||||||
Open Access: | Nein | ||||||||
Gold Open Access: | Nein | ||||||||
In SCOPUS: | Nein | ||||||||
In ISI Web of Science: | Nein | ||||||||
Status: | veröffentlicht | ||||||||
Stichwörter: | derivative-free optimization, nonlinear optimization, DFO, SQP | ||||||||
Veranstaltungstitel: | ICCOPT 2013 | ||||||||
Veranstaltungsort: | Lissabon, Portugal | ||||||||
Veranstaltungsart: | internationale Konferenz | ||||||||
Veranstaltungsbeginn: | 27 Juli 2013 | ||||||||
Veranstaltungsende: | 1 August 2013 | ||||||||
HGF - Forschungsbereich: | Luftfahrt, Raumfahrt und Verkehr | ||||||||
HGF - Programm: | Raumfahrt | ||||||||
HGF - Programmthema: | Raumtransport | ||||||||
DLR - Schwerpunkt: | Raumfahrt | ||||||||
DLR - Forschungsgebiet: | R RP - Raumtransport | ||||||||
DLR - Teilgebiet (Projekt, Vorhaben): | R - Proj. Thermas (alt) | ||||||||
Standort: | Köln-Porz | ||||||||
Institute & Einrichtungen: | Institut für Simulations- und Softwaretechnik Institut für Simulations- und Softwaretechnik > Verteilte Systeme und Komponentensoftware | ||||||||
Hinterlegt von: | Tröltzsch, Anke | ||||||||
Hinterlegt am: | 28 Feb 2014 09:44 | ||||||||
Letzte Änderung: | 24 Apr 2024 19:54 |
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