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SIAMJO
2008
100views more  SIAMJO 2008»
14 years 10 months ago
On the Global Solution of Linear Programs with Linear Complementarity Constraints
This paper presents a parameter-free integer-programming based algorithm for the global resolution of a linear program with linear complementarity constraints (LPCC). The cornersto...
Jing Hu, John E. Mitchell, Jong-Shi Pang, Kristin ...
MP
2011
14 years 1 months ago
Implicit solution function of P0 and Z matrix linear complementarity constraints
Abstract. Using the least element solution of the P0 and Z matrix linear complementarity problem (LCP), we define an implicit solution function for linear complementarity constrai...
Xiaojun Chen, Shuhuang Xiang
SIAMJO
2008
92views more  SIAMJO 2008»
14 years 10 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
MOR
2002
60views more  MOR 2002»
14 years 10 months ago
Properties of the Log-Barrier Function on Degenerate Nonlinear Programs
We examine the sequence of local minimizers of the log-barrier function for a nonlinear program near a solution at which second-order sufficient conditions and the Mangasarian-From...
Stephen J. Wright, Dominique Orban
CP
2005
Springer
15 years 4 months ago
From Linear Relaxations to Global Constraint Propagation
We present a method for propagating linear constraints. Our technique exploits the fact that the interior point method converges on a central point of the polytope. A variable assi...
Claude-Guy Quimper, Alejandro López-Ortiz