Thursday, 14:15 - 14:40 h, Room: MA 041

 

John Mitchell
Quadratic programs with complementarity constraints

Coauthors: Lijie Bai, Jong-Shi Pang

 

Abstract:
We examine the relationship between a quadratic program with complementarity constraints (QPCC) and its completely positive relaxation. We show that the two problems are equivalent under certain conditions, even if the complementary variables are unbounded.
We describe the use of semidefinite programming to tighten up the quadratic relaxation of a QPCC when the quadratic objective function is convex.
When the variables are bounded,
a QPCC can be expressed as a mixed integer nonlinear program.

 

Talk 3 of the invited session Thu.2.MA 041
"Convex approaches for quadratic integer programs" [...]
Cluster 14
"Mixed-integer nonlinear programming" [...]

 

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