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Solving Mathematical Programs with Equil...

Qiu, Songqiang...

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Solving Mathematical Programs with Equilibrium Constraints as Nonlinear Programming: A New Framework by Qiu, Songqiang ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	24-10-2015
Summary	We present a new framework for the solution of mathematical programs with equilibrium constraints (MPECs). In this algorithmic framework, an MPECs is viewed as a concentration of an unconstrained optimization which minimizes the complementarity measure and a nonlinear programming with general constraints. A strategy generalizing ideas of Byrd-Omojokun's trust region method is used to compute steps. By penalizing the tangential constraints into the objective function, we circumvent the problem of not satisfying MFCQ. A trust-funnel-like strategy is used to balance the improvements on feasibility and optimality. We show that, under MPEC-MFCQ, if the algorithm does not terminate in finite steps, then at least one accumulation point of the iterates sequence is an S-stationary point.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1510.07145

Citation

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AMA 11th EditionReferences

Qiu, Songqiang. Solving Mathematical Programs with Equilibrium Constraints as Nonlinear Programming: A New Framework. N.A. October 24, 2015. Accessed August 08, 2025. https://online.provdatabase.com/cite/22634

APA 7th EditionReferences

Qiu, Songqiang. (2015). Solving Mathematical Programs with Equilibrium Constraints as Nonlinear Programming: A New Framework. N.A. https://online.provdatabase.com/cite/22634

Chicago 17th EditionReferences

Qiu, Songqiang. Solving Mathematical Programs with Equilibrium Constraints as Nonlinear Programming: A New Framework. N.A. 2015. https://online.provdatabase.com/cite/22634

HarvardReferences

Qiu, Songqiang. (2015). Solving Mathematical Programs with Equilibrium Constraints as Nonlinear Programming: A New Framework. [Online]. N.A. Available from: https://online.provdatabase.com/cite/22634. (Accessed 08 August 2025).

Harvard AustraliaReferences

Qiu, Songqiang, 2015, Solving Mathematical Programs with Equilibrium Constraints as Nonlinear Programming: A New Framework, N.A, viewed 08 August 2025, <https://online.provdatabase.com/cite/22634>

MLA 9th EditionWorks Cited

Qiu, Songqiang. Solving Mathematical Programs with Equilibrium Constraints as Nonlinear Programming: A New Framework. N.A, 2015. PROV Database, https://online.provdatabase.com/cite/22634.

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