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On the implicit programming approach in a class of mathematical programs with equilibrium constraints

SYSNO ASEP	0340268
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Ostatní články
Title	On the implicit programming approach in a class of mathematical programs with equilibrium constraints
Author(s)	Outrata, Jiří (UTIA-B)_{RID, ORCID} Červinka, Michal (UTIA-B)_{RID, ORCID}
Source Title	Control and Cybernetics - ISSN 0324-8569 Roč. 38, 4B (2009), s. 1557-1574
Number of pages	18 s.
Language	eng - English
Country	PL - Poland
Keywords	mathematical problem with equilibrium constraint ; state constraints ; implicit programming ; calmness ; exact penalization
Subject RIV	BA - General Mathematics
R&D Projects	GA201/09/1957 GA ČR - Czech Science Foundation (CSF)
CEZ	AV0Z10750506 - UTIA-B (2005-2011)
Annotation	In the paper we analyze the influence of implicit programming hypothesis and presence of state constraints on first order optimality conditions to mathematical programs with equilibrium constraints. In the absence of state constraints, we derive sharp stationarity conditions, provided the strong regularity condition holds. In the second part of the paper we suggest an exact penalization of state constraints and test the behavior of standard bundle trust region algorithm on academic examples
Workplace	Institute of Information Theory and Automation
Contact	Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201.
Year of Publishing	2010

Number of the records: 1