Geodesic
An SQP method for mathematical programs with complementarity constraints with strong convergence properties
Kybernetika, Tome 52 (2016) no. 2, pp. 169-208.

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We propose an SQP algorithm for mathematical programs with complementarity constraints which solves at each iteration a quadratic program with linear complementarity constraints. We demonstrate how strongly M-stationary solutions of this quadratic program can be obtained by an active set method without using enumeration techniques. We show that all limit points of the sequence of iterates generated by our SQP method are at least M-stationary.
DOI : 10.14736/kyb-2016-2-0169
Classification : 49M37, 90C26, 90C33, 90C55
Keywords: SQP method; active set method; mathematical program with complementarity constraints; strong M-stationarity 
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     title = {An {SQP} method for mathematical programs with complementarity constraints with strong convergence properties},
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Benko, Matus; Gfrerer, Helmut. An SQP method for mathematical programs with complementarity constraints with strong convergence properties. Kybernetika, Tome 52 (2016) no. 2, pp. 169-208. doi : 10.14736/kyb-2016-2-0169. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2016-2-0169/

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