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- W1966095601 abstract "We study theoretical and computational aspects of an exact penalization approach to mathematical programs with equilibrium constraints (MPECs). In the first part, we prove that a Mangasarian--Fromovitz-type condition ensures the existence of a stable local error bound at the root of a real-valued nonnegative piecewise smooth function. A specification to nonsmooth formulations of equilibrium constraints, e.g., complementarity conditions or normal equations, provides conditions which guarantee the existence of a nonsmooth exact penalty function for MPECs. In the second part, we study a trust region minimization method for a class of composite nonsmooth functions which comprises exact penalty functions arising from MPECs. We prove a global convergence result for the general method and incorporate a penalty update rule. A further specification results in an SQP trust region method for MPECs based on an (ell_1) penalty function." @default.
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- W1966095601 date "1999-01-01" @default.
- W1966095601 modified "2023-10-16" @default.
- W1966095601 title "Exact Penalization of Mathematical Programs with Equilibrium Constraints" @default.
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- W1966095601 doi "https://doi.org/10.1137/s0363012996306121" @default.
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