Relations between Abs-Normal NLPs and MPCCs. Part 1: Strong Constraint Qualifications

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Lisa C. Hegerhorst-Schultchen
  • Christian Kirches
  • Marc C. Steinbach

Organisationseinheiten

Externe Organisationen

  • Technische Universität Braunschweig
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Aufsatznummer6672
FachzeitschriftJournal of Nonsmooth Analysis and Optimization
Jahrgang2021
Ausgabenummer2
PublikationsstatusVeröffentlicht - 18 Feb. 2021

Abstract

This work is part of an ongoing effort of comparing non-smooth optimization problems in abs-normal form to MPCCs. We study the general abs-normal NLP with equality and inequality constraints in relation to an equivalent MPCC reformulation. We show that kink qualifications and MPCC constraint qualifications of linear independence type and Mangasarian-Fromovitz type are equivalent. Then we consider strong stationarity concepts with first and second order optimality conditions, which again turn out to be equivalent for the two problem classes. Throughout we also consider specific slack reformulations suggested in [9], which preserve constraint qualifications of linear independence type but not of Mangasarian-Fromovitz type.

Zitieren

Relations between Abs-Normal NLPs and MPCCs. Part 1: Strong Constraint Qualifications. / Hegerhorst-Schultchen, Lisa C.; Kirches, Christian; Steinbach, Marc C.
in: Journal of Nonsmooth Analysis and Optimization, Jahrgang 2021, Nr. 2, 6672, 18.02.2021.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Hegerhorst-Schultchen, LC, Kirches, C & Steinbach, MC 2021, 'Relations between Abs-Normal NLPs and MPCCs. Part 1: Strong Constraint Qualifications', Journal of Nonsmooth Analysis and Optimization, Jg. 2021, Nr. 2, 6672. https://doi.org/10.46298/jnsao-2021-6672
Hegerhorst-Schultchen, L. C., Kirches, C., & Steinbach, M. C. (2021). Relations between Abs-Normal NLPs and MPCCs. Part 1: Strong Constraint Qualifications. Journal of Nonsmooth Analysis and Optimization, 2021(2), Artikel 6672. https://doi.org/10.46298/jnsao-2021-6672
Hegerhorst-Schultchen LC, Kirches C, Steinbach MC. Relations between Abs-Normal NLPs and MPCCs. Part 1: Strong Constraint Qualifications. Journal of Nonsmooth Analysis and Optimization. 2021 Feb 18;2021(2):6672. doi: 10.46298/jnsao-2021-6672
Hegerhorst-Schultchen, Lisa C. ; Kirches, Christian ; Steinbach, Marc C. / Relations between Abs-Normal NLPs and MPCCs. Part 1 : Strong Constraint Qualifications. in: Journal of Nonsmooth Analysis and Optimization. 2021 ; Jahrgang 2021, Nr. 2.
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