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» An Active-Set Newton Method for Mathematical Programs with C...
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SIAMJO
2008
92views more  SIAMJO 2008»
13 years 4 months ago
An Active-Set Newton Method for Mathematical Programs with Complementarity Constraints
For a mathematical program with complementarity constraints (MPCC), we propose an active-set Newton method, which has the property of local quadratic convergence under the MPCC lin...
Alexey F. Izmailov, Mikhail V. Solodov
SIAMJO
2000
108views more  SIAMJO 2000»
13 years 4 months ago
Smooth SQP Methods for Mathematical Programs with Nonlinear Complementarity Constraints
Mathematical programs with nonlinear complementarity constraints are reformulated using better-posed but nonsmooth constraints. We introduce a class of functions, parameterized by...
Houyuan Jiang, Daniel Ralph
WSC
2004
13 years 6 months ago
Solving Stochastic Mathematical Programs with Complementarity Constraints Using Simulation
Recently, simulation-based methods have been successfully used for solving challenging stochastic optimization problems and equilibrium models. Here we report some of the recent p...
S. Ilker Birbil, Gül Gürkan, Ovidiu List...
MP
2007
102views more  MP 2007»
13 years 4 months ago
Elastic-mode algorithms for mathematical programs with equilibrium constraints: global convergence and stationarity properties
The elastic-mode formulation of the problem of minimizing a nonlinear function subject to equilibrium constraints has appealing local properties in that, for a finite value of the...
Mihai Anitescu, Paul Tseng, Stephen J. Wright
SIAMJO
2008
141views more  SIAMJO 2008»
13 years 4 months ago
Constraint Nondegeneracy, Strong Regularity, and Nonsingularity in Semidefinite Programming
It is known that the Karush-Kuhn-Tucker (KKT) conditions of semidefinite programming can be reformulated as a nonsmooth system via the metric projector over the cone of symmetric ...
Zi Xian Chan, Defeng Sun